| 单词 | Pythagorean |
| 例句 | The secret he revealed shook the very foundations of the Pythagorean doctrine, but by considering the irrational an anomaly, the Pythagoreans could keep the irrationals from contaminating their view of the universe. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z This philosophy—the interchangeability of music, math, and nature—led to the earliest Pythagorean model of the planets. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z He or his disciples discovered the Pythagorean theorem: the sum of the squares of the shorter sides of a right triangle equals the square of the longer side. Cosmos 1980-01-01T00:00:00Z In the Pythagorean system, all tuning is based on the interval of the pure fifth. Understanding Basic Music Theory 2018-01-28T00:00:00Z The nested Pythagorean solids also made no allowance for the existence of the Earth’s moon, and Galileo’s discovery of the four large moons of Jupiter was also discomfiting. Cosmos 1980-01-01T00:00:00Z Kepler was both inspired in his search for the harmony of planetary motion and delayed for more than a decade by the attractions of Pythagorean doctrine. Cosmos 1980-01-01T00:00:00Z The golden ratio was favored by artists and nature alike and seemed to prove the Pythagorean assertion that music, beauty, architecture, nature, and the very construction of the cosmos were all intertwined and inseparable. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Zero would punch a hole in the neat Pythagorean order of the universe, and for that reason it could not be tolerated. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z They contained a number-shape that was the ultimate symbol of the Pythagorean view of the universe: the golden ratio. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z The misery began when I moved beyond the Pythagorean theorem to sine, cosine and tangent. Educated 2018-02-20T00:00:00Z Though the brotherhood was scattered and the leader was dead, the essence of the Pythagorean teachings lived on. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z As mentioned above, Pythagorean tuning made sense in medieval times, when music was dominated by fifths. Understanding Basic Music Theory 2018-01-28T00:00:00Z This concept was the first challenge to the Pythagorean point of view, and the brotherhood tried to keep it secret. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Zero had no place within the Pythagorean framework. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z To the Pythagorean mind, ratios controlled the universe, and what was true for the Pythagoreans soon became true for the entire West. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z The Pythagorean fascination with whole-number ratios in musical harmonies seems clearly to be based on observation, or even experiment on the sounds issued from plucked strings. Cosmos 1980-01-01T00:00:00Z The main weakness of the Pythagorean system is that a series of pure perfect fifths will never take you to a note that is a pure octave above the note you started on. Understanding Basic Music Theory 2018-01-28T00:00:00Z Major seconds and thirds are larger in Pythagorean intonation than in equal temperament, and minor seconds and thirds are smaller. Understanding Basic Music Theory 2018-01-28T00:00:00Z More modern Western music, on the other hand, does not sound pleasant using Pythagorean intonation. Understanding Basic Music Theory 2018-01-28T00:00:00Z The mystical symbol of the Pythagorean cult was, naturally, a number-shape: the pentagram, a five-pointed star. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Pythagorean tuning was widely used in medieval and Renaissance times. Understanding Basic Music Theory 2018-01-28T00:00:00Z Built of white limestone and pink Aswan granite, the Pharos had a tripartite structure based on a vaguely Pythagorean geometric theme, with a square-sided base, octagonal middle, and circular upper stage. Circumference 2008-11-25T00:00:00Z Empedocles was, at least in part, a Pythagorean. Cosmos 1980-01-01T00:00:00Z That learning about the Pythagorean theorem and arpeggios and dissecting worms is the only thing that could keep her mind off it. P.S. I Miss You 2017-09-26T00:00:00Z Like that of the Babylonians, the Pythagorean universe seems more a construction based on mysticism and aesthetics than the result of empirical study. Circumference 2008-11-25T00:00:00Z But Alcmaeon’s zest for the impure was not shared by most of his Pythagorean colleagues in later times. an imperfect reflection. Cosmos 1980-01-01T00:00:00Z Everyone in the Pythagorean brotherhood was already tight-lipped—nobody was allowed even to take written notes—and the incommensurability of the square root of two became the deepest, darkest secret of the Pythagorean order. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z To add insult to injury, the Pythagoreans soon discovered that the golden ratio, the ultimate Pythagorean symbol of beauly and rationality, was an irrational number. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z When she looked, he pointed to a page with the Pythagorean theorem. Out of Darkness 2015-09-01T00:00:00Z The Pythagorean idea of a perfect and mystical world, unseen by the senses, was readily accepted by the early Christians and was an integral component of Kepler’s early training. Cosmos 1980-01-01T00:00:00Z The importance of the golden ratio comes from a Pythagorean discovery that is now barely remembered. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z I was drawn to the Pythagorean theorem and its promise of a universal—the ability to predict the nature of any three points containing a right angle, anywhere, always. Educated 2018-02-20T00:00:00Z To keep these horrible numbers from ruining the Pythagorean doctrine, the irrationals were kept secret. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z The Pythagorean concept of the Harmony of the Spheres sees musical intervals as corresponding to the intervals of planetary orbit. Symphony of life: making music out of the human genome 2010-06-24T21:29:00Z There was even some Pythagorean problem-solving on your film set, wasn’t there? Lisa Joy on ‘Reminiscence,’ ‘Westworld’ and the Lure of Techno-Noir 2021-08-20T04:00:00Z Why did Plato go to these lengths to base his writings on hidden Pythagorean foundations? Magic numbers 2010-07-01T15:09:00Z If historian Jay Kennedy is right, Plato structured his writings according to a Pythagorean division of the octave into 12 tones. Magic numbers 2010-07-01T15:09:00Z But there's an even more obvious musical connection with Plato's Pythagorean secret. Magic numbers 2010-07-01T15:09:00Z The earliest known documentation of vegan eating is from 500 BC, when the Greek philosopher Pythagoras, known for the Pythagorean Theorem, wrote about a vegetarian-like diet. 6 tips for adopting the vegan diet 2021-04-25T04:00:00Z They are a forgiving shape — resist thinking too hard about the Pythagorean theorem when folding a triangle from the pastry rectangle. The Easiest Way to Crunchy Homemade Samosas 2021-04-02T04:00:00Z They are then arranged with a kind of radical simplicity or Pythagorean mathematical purity that continues, long after Duchamp, to challenge fundamental notions of the definition of art. For Carl Andre, Less Is Still Less 2011-07-17T02:00:06Z In the violin version, Cage made further innovations: he adopted a Pythagorean tuning that makes the line sound slightly sour at times. Music Review: Flux Quartet at Bargemusic for John Cage Centennial 2012-07-20T21:10:20Z For what Ms. Hellauer called “that Pythagorean event” to occur, the singers took care not to allow any undue oscillation to interfere. Early-Music Ensembles: Praised as Pure, but Seeking More 2016-01-20T05:00:00Z This Pythagorean view re-emerged in medieval universities, where scholars studied the quadrivium, which divided the science of mathematics into four parts: geometry and arithmetic, astronomy and music. Of the spheres 2010-07-02T23:05:00Z The real importance of this discovery, as Kennedy says, is that it allies Plato with the heretical, Pythagorean idea that "mathematical law governed the universe and not Zeus". Magic numbers 2010-07-01T15:09:00Z Listening to Mozart, you can believe high science and music a unified thing, as in that Pythagorean dream of the music of the spheres. I Was Looking at the Ceiling and Then I Saw the Sky; Icarus at the Edge of Time; Don Giovanni 2010-07-10T23:05:00Z Two high school students have proved the Pythagorean theorem in a way that one early 20th-century mathematician thought was impossible: using trigonometry. 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z In Plato's dialogue Meno, Socrates coaxes the Pythagorean theorem out of an uneducated boy by asking him a series of simple questions. Babies Are Born with an Innate Number Sense 2023-03-07T05:00:00Z Fortunately, there’s a much easier way to use the Pythagorean theorem on a job site. A builder’s guide to squaring anything (and the math behind it) 2022-12-12T05:00:00Z “Yeah, Pythagorean theorem,” Kelly cracked when asked what he had learned from his players. A culture club of 'books and ball' under Chip Kelly is a dual success for No. 12 UCLA 2022-10-28T04:00:00Z And they defied Bill James’ Pythagorean Theorem of Baseball that projected them to go 76-86 based on their minus-51 run differential. Why Mariners’ Scott Servais should win AL manager of year 2022-09-20T04:00:00Z If verified, Johnson and Jackson’s proof would contradict mathematician and educator Elisha Loomis, who stated in his 1927 book The Pythagorean Proposition that no trigonometric proof of the Pythagorean theorem could be correct. 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z Socrates's takeaway is that the boy had innate knowledge of the Pythagorean theorem all along; the questioning just helped him express it. Babies Are Born with an Innate Number Sense 2023-03-07T05:00:00Z That formula is known as the Pythagorean Winning Percentage. How the Mariners’ chances to make the playoffs are determined 2022-09-15T04:00:00Z Figure 3.4 The Pythagorean theorem relates the length of the legs of a right triangle, labeled a and b , with the hypotenuse, labeled c . College Physics for AP Courses 2015-08-12T00:00:00Z In particular, Pythagoras recognized relationships between line segments and shapes, such as the Pythagorean theorem describes, but also between numbers and sounds, by virtue of harmonics and the intervals between notes. Introduction to Philosophy 2022-06-15T00:00:00Z So what exactly is a trigonometric proof of the Pythagorean theorem, and why was Loomis so closed off to the idea? 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z As a theorem it ranks with the Pythagorean Theorem, or the theorem that tells us that the sum of the angles of a triangle must add to 180. Introductory Business Statistics 2017-11-29T00:00:00Z Check on your own in the Pythagorean Theorem. Intermediate Algebra 2020-05-06T00:00:00Z This means that we can use the Pythagorean theorem to calculate the magnitude of the total displacement. College Physics for AP Courses 2015-08-12T00:00:00Z Additionally, in the early Pythagorean communities, it was possible for women to participate and contribute to philosophical thought and discovery. Introduction to Philosophy 2022-06-15T00:00:00Z The Pythagorean theorem provides an equation to calculate the longer side of a right triangle by summing the squares of the other two sides. 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z An important property that describes the relationship among the lengths of the three sides of a right triangle is called the Pythagorean Theorem. Elementary Algebra 2020-04-22T00:00:00Z We then take it one step further and use the Pythagorean Theorem to find the length of the hypotenuse of the triangle—which is the distance between the points. Intermediate Algebra 2020-05-06T00:00:00Z Step 3: Use the Pythagorean theorem to determine the magnitude, R , of the resultant vector R : College Physics for AP Courses 2015-08-12T00:00:00Z At least one of her letters has survived in which she discusses the application of Pythagorean philosophy to motherhood. Introduction to Philosophy 2022-06-15T00:00:00Z Loomis believed that if you used these functions in a proof of the Pythagorean theorem, you would have assumed the theorem to begin with—a circular argument and thus an unforgivable mathematical error. 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z Before we state the Pythagorean Theorem, we need to introduce some terms for the sides of a triangle. Elementary Algebra 2020-04-22T00:00:00Z In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse. Intermediate Algebra 2020-05-06T00:00:00Z Have you ever used the Pythagorean Theorem and gotten a wrong answer? College Physics for AP Courses 2015-08-12T00:00:00Z The Pythagorean school is an example of how early philosophical and scientific thinking combines with religious, cultural, and ethical beliefs and practices to embrace many different aspects of life. Introduction to Philosophy 2022-06-15T00:00:00Z Then we apply the Pythagorean Identity and simplify. Precalculus 2021-12-01T00:00:00Z To solve exercises that use the Pythagorean Theorem, we will need to find square roots. Elementary Algebra 2020-04-22T00:00:00Z Writing the formula in every exercise and saying it aloud as you write it may help you memorize the Pythagorean Theorem. Intermediate Algebra 2020-05-06T00:00:00Z The magnitude of a vector can also be derived using the Pythagorean theorem, as in the following figure. Calculus, Volume 3 2016-03-30T00:00:00Z Could Pythagoras have learned, rather than discovered, the “Pythagorean” theorem—the law of relationships between the sides and hypotenuse of a right triangle—in Egypt? Introduction to Philosophy 2022-06-15T00:00:00Z Applying the Pythagorean Identity and simplifying we get: Precalculus 2021-12-01T00:00:00Z Because the Pythagorean Theorem contains variables that are squared, to solve for the length of a side in a right triangle, we will have to use square roots. Elementary Algebra 2020-04-22T00:00:00Z We will use the Pythagorean Theorem in the next example. Intermediate Algebra 2020-05-06T00:00:00Z The Pythagorean Theorem, is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. Algebra and Trigonometry 2015-02-13T00:00:00Z The Berlin Papyrus 6619, usually dated between 1800 BCE and 1649 BCE, contains a solution to a problem involving the Pythagorean theorem and evidence that the Egyptians could solve quadratic equations. Introduction to Philosophy 2022-06-15T00:00:00Z We can also calculate sines and cosines of the special angles using the Pythagorean Identity and our knowledge of triangles. Precalculus 2021-12-01T00:00:00Z TRY IT : : 3.80 Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. Elementary Algebra 2020-04-22T00:00:00Z TRY IT : : 2.67 Use the Pythagorean Theorem to find the length of the leg in the figure. Intermediate Algebra 2020-05-06T00:00:00Z To find the length c, take the square root of both sides of the Pythagorean Theorem. Algebra and Trigonometry 2015-02-13T00:00:00Z A reminder of their mathematical legacy can be found in the Pythagorean theorem, which students continue to learn in school. Introduction to Philosophy 2022-06-15T00:00:00Z Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more interpretations. Precalculus 2021-12-01T00:00:00Z We will use the Pythagorean Theorem to solve the next example. Elementary Algebra 2020-04-22T00:00:00Z TRY IT : : 2.68 Use the Pythagorean Theorem to find the length of the leg in the figure. Intermediate Algebra 2020-05-06T00:00:00Z We use the Pythagorean Theorem to solve for the length of one side of a triangle when we have the lengths of the other two. Algebra and Trigonometry 2015-02-13T00:00:00Z You may be familiar with Pythagoras from his Pythagorean theorem, a key principle in geometry establishing a relationship between the sides of a right-angled triangle. Introduction to Philosophy 2022-06-15T00:00:00Z In this first section, we will work with the fundamental identities: the Pythagorean Identities, the even-odd identities, the reciprocal identities, and the quotient identities. Precalculus 2021-12-01T00:00:00Z In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Elementary Algebra 2020-04-22T00:00:00Z In the following exercises, use the Pythagorean Theorem to find the length of the leg. Intermediate Algebra 2020-05-06T00:00:00Z If a right triangle is sketched, the Pythagorean Theorem relates the sides. Algebra and Trigonometry 2015-02-13T00:00:00Z As a result, the Pythagorean community was defined by serious scholarship as well as strict rules about diet, clothing, and behavior. Introduction to Philosophy 2022-06-15T00:00:00Z The formula became known as the Pythagorean theorem throughout the world. World History: Patterns of Interaction 2012-01-01T00:00:00Z In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Elementary Algebra 2020-04-22T00:00:00Z Use the Pythagorean Theorem to find d, the distance between the two points. Intermediate Algebra 2020-05-06T00:00:00Z When the sine or cosine is known, we can use the Pythagorean Identity to find the other. Algebra and Trigonometry 2015-02-13T00:00:00Z Indeed, the Plimpton 332 clay tablet reveals that Babylonian mathematicians knew not only of the Pythagorean theorem of right triangles but also of trigonometric functions. Introduction to Philosophy 2022-06-15T00:00:00Z Perhaps the most famous of these was his discovery of a trapezoid proof for the Pythagorean theorem, which he pursued during his downtime while serving in Congress. The curse of James Garfield: A history lesson from one of America's most tragic presidents 2022-01-23T05:00:00Z Since this is a right triangle we can use the Pythagorean Theorem. Elementary Algebra 2020-04-22T00:00:00Z The interplay of light and dark doesn’t quite achieve the painterly magnificence of what Kurosawa creates in “Throne of Blood,” but the spatial strategy has a Pythagorean elegance. What makes Joel Coen's Shakespeare unique: His 'Macbeth' is haunted by other movies 2022-01-14T05:00:00Z In this first section, we will work with the fundamental identities: the Pythagorean identities, the even-odd identities, the reciprocal identities, and the quotient identities. Algebra and Trigonometry 2015-02-13T00:00:00Z The 14-win margin between its actual win total and its Pythagorean record was the highest in the majors. After doing more with less in 2021, Mariners’ Scott Servais deserves to manage an upgraded 2022 roster 2021-11-16T05:00:00Z He noted several principles capable of debunking the conspiracy theory, such as Foucault’s Pendulum, Coriolis force and the Pythagorean theorem. How Taylor Heinicke went from sleeping on his sister’s couch to Washington’s QB 2021-09-25T04:00:00Z The Pythagorean Theorem tells how the lengths of the three sides of a right triangle relate to each other. Elementary Algebra 2020-04-22T00:00:00Z That differential projects to a 40-51 record based on baseball’s Pythagorean equation. How the Mariners exceeded expectations in the first half of the MLB season 2021-07-14T04:00:00Z Next, use the Pythagorean identity and make the substitutions. Algebra and Trigonometry 2015-02-13T00:00:00Z With impressive reach, he’s unafraid to volley and boasts a Pythagorean command of angles on his punishing forehand. Novak Djokovic erases two-set deficit to win French Open, claim 19th Grand Slam title 2021-06-13T04:00:00Z Claiming it is irrelevant is like saying the Pythagorean theorem is outdated. Opinion | There’s nothing conservative about CPAC 2021-02-25T05:00:00Z Writing the formula in every exercise and saying it aloud as you write it, may help you remember the Pythagorean Theorem. Elementary Algebra 2020-04-22T00:00:00Z “I used the Pythagorean theorem to calculate the distance from the balcony to home plate. It’s about 700 feet.” A Man, a Megaphone and a Mission to Shame the Astros 2020-10-15T04:00:00Z The distance formula is derived from the Pythagorean Theorem and is used to find the length of a line segment. Algebra and Trigonometry 2015-02-13T00:00:00Z All these seemingly arbitrary mathematical rules are based on the Pythagorean theorem plus probability theory. Quantum Escapism 2020-08-22T04:00:00Z Pythagoras wasn’t the first person to derive the Pythagorean theorem, Edwin Hubble wasn’t the first to formulate Hubble’s law, and so on. Our Trust in Science Is Complicated 2020-04-02T04:00:00Z Use the Pythagorean Theorem to find the length of the hypotenuse shown below. Elementary Algebra 2020-04-22T00:00:00Z I used to love how his smooth action concealed a Pythagorean use of angles. Ashes 2019: England v Australia second Test, day four – live 2019-08-17T04:00:00Z The Pythagorean Theorem, among the most famous theorems in history, is used to solve right-triangle problems and has applications in numerous fields. Algebra and Trigonometry 2015-02-13T00:00:00Z Hughes’s riff, and Aaronson’s, suggest that quantum mechanics, in spite of its daunting reputation, is conceptually simple, as simple as the Pythagorean theorem, which I learned in my childhood. Quantum Escapism 2020-08-22T04:00:00Z One of them is titled Proof of the Pythagorean Theorem. Beautiful Math 2019-05-22T04:00:00Z Use the Pythagorean Theorem to find the length of the leg shown below. Elementary Algebra 2020-04-22T00:00:00Z Ms. Nguyen’s last reason for loving the Pythagorean theorem is that she likes sharing the story of what a weird guy Pythagoras was. Five Reasons to Love the Pythagorean Theorem 2019-04-06T04:00:00Z The Pythagorean Identity makes it possible to find a cosine from a sine or a sine from a cosine. Algebra and Trigonometry 2015-02-13T00:00:00Z I’m getting this, but not really, when Hughes says the Pythagorean theorem is the key to understanding Hilbert spaces. Quantum Escapism 2020-08-22T04:00:00Z In fact, the Pythagorean Theorem used to forecast Seattle’s record predicted it would go 77-85. Whether you like it or not, the Mariners’ trading of James Paxton had to happen 2018-11-19T05:00:00Z TRY IT : : 3.79 Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. Elementary Algebra 2020-04-22T00:00:00Z I wrote about James Garfield’s proof of the Pythagorean theorem here. Five Reasons to Love the Pythagorean Theorem 2019-04-06T04:00:00Z Fundamental identities such as the Pythagorean Identity can be manipulated algebraically to produce new identities. Algebra and Trigonometry 2015-02-13T00:00:00Z Instead of the Pythagorean theorem I’m familiar with, Hughes presents one for three dimensions. Quantum Escapism 2020-08-22T04:00:00Z Though the Dodgers won 16 fewer games than the Red Sox from April to September, their Pythagorean records, based on run differentials, were far closer: 103-59 for Boston, 102-60 for Los Angeles. Postseason hero Dave Roberts isn’t the only thing the Red Sox and Dodgers have in common 2018-10-22T04:00:00Z The Pythagorean Theorem gives the relation between the legs and hypotenuse of a right triangle. Elementary Algebra 2020-04-22T00:00:00Z The Pythagorean Theorem is reminiscent of Fermat’s Last Theorem, which states that an+bn=cn is not solvable in integers for integer exponents n greater than 2. Five Reasons to Love the Pythagorean Theorem 2019-04-06T04:00:00Z The height at which the ladder touches the wall can be found using the Pythagorean Theorem: Algebra and Trigonometry 2015-02-13T00:00:00Z Baseball Prospectus compiles what it calls “adjusted standings” that project a team’s record using the Pythagorean theorem, based on how often they “should have” won by virtue of their run differential. As another season ends in frustration, Mariners are stuck in worst kind of limbo 2018-09-12T04:00:00Z Combinations of numbers that illustrate the Pythagorean theorem let us move into trigonometry. New Keys to Help Extraterrestrials Unlock Our Messages 2017-11-20T05:00:00Z We can use the Pythagorean Theorem to solve for x. Elementary Algebra 2020-04-22T00:00:00Z No one ever said the Pythagorean theorem was correct “on the whole.” Perspective | Why economists need Tolstoy 2017-11-10T05:00:00Z To find out the length of ladder needed, we can draw a right triangle as shown in Figure 1, and use the Pythagorean Theorem. Algebra and Trigonometry 2015-02-13T00:00:00Z Teaching the Pythagorean Theorem or pi in geometry class perpetuates white privilege by giving the “perception that mathematics was largely developed by Greeks and other Europeans.” Professor: Geometry perpetuates white privilege because it was developed by ancient Greeks 2017-10-25T04:00:00Z Recently we sent a series of radio messages that included a numerical description of the Pythagorean theorem to one such exoplanet, in the hope of eliciting a response from any geometry-savvy inhabitants. New Keys to Help Extraterrestrials Unlock Our Messages 2017-11-20T05:00:00Z The treatise contains 13 separate books, covering everything from plane geometry, the Pythagorean theorem, golden ratio, prime numbers, and quite a bit more. One of the world’s most influential math texts is getting a beautiful, minimalist edition 2017-09-02T04:00:00Z The tablet contains four columns and 15 rows of cuneiform numbers, which conform to the Pythagorean theorem — the relationship between three sides of a right triangle. An ancient clay tablet shows that Babylonian scholars might have invented trigonometry 2017-08-26T04:00:00Z We can use the Pythagorean Theorem to find the length of guy wire needed. Algebra and Trigonometry 2015-02-13T00:00:00Z Allen noted the most important finding from the tablet is the evidence of Pythagorean triples, indicating that Babylonians were seemingly aware of the Pythagorean theorem—years before Pythagorus. Ancient Tablet May Show Earliest Use of This Advanced Math 2017-08-24T04:00:00Z It might be your favorite book or the Pythagorean theorem. How to Conquer the Admissions Essay 2017-08-02T04:00:00Z Win probabilities are based on a team’s Pythagorean win percentage using goals for and goals allowed. Analysis | 2017 NHL playoff projections: Capitals over Penguins, Rangers over Senators 2017-04-24T04:00:00Z These could be a jaguar, the whole universe, the Pythagorean theorem. Explain a toaster to a cave person — and other improv challenges 2017-02-10T05:00:00Z The Pythagorean Identity is also useful for determining the sines and cosines of special angles. Algebra and Trigonometry 2015-02-13T00:00:00Z Some recent work includes a “decoupling theorem” — a sort of very abstract generalization of Pythagorean’s theorem applied to oscillating waves like light or radio waves. $25 Million in Breakthrough Prizes Given in Science and Math 2016-12-04T05:00:00Z In the dialogue known as the Meno, Plato depicts Socrates teaching a slave boy the Pythagorean theorem—or, rather, leading the boy to figure it out for himself. Are We Really So Modern? 2016-08-29T04:00:00Z Because Tony was the person who explained what a Pythagorean scale is and what just intonation was. Rhys Chatham explains stylistic turn in hypnotic Pythagorean Dream 2016-05-29T04:00:00Z The Pythagorean triples problem is one of many similar questions in Ramsey theory, an area of mathematics that is concerned with finding structures that must appear in sufficiently large sets. Two-hundred-terabyte maths proof is largest ever 2016-05-25T04:00:00Z Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more variations. Algebra and Trigonometry 2015-02-13T00:00:00Z There’s one thing every student will learn in school that they’ll certainly use all their life — and it’s not the Pythagorean Theorem, I before E, or how to stay awake in class. 7 Great Gadgets for Back to School 2015-08-13T04:00:00Z The massive and profusely illustrated volume analyzes everything from Pythagorean mathematics to the esotericism of the Shakespearean dramas. Secrets of Osama bin Laden’s library: The mystic, searching book now being misinterpreted as a conspiracy text 2015-05-21T04:00:00Z The teachers are asked a question relevant to their field of expertise, such as a math teacher being asked to explain the Pythagorean theorem in Latvian. Latvia Cracks Down on Russian-Speaking Teachers It's almost as confusing as learning the Pythagorean theorem and the periodic table of elements. 3 Types of Insurance You Need – And 3 You Don't 2014-09-02T04:00:00Z Use the Pythagorean Theorem to find the length of the hypotenuse: Algebra and Trigonometry 2015-02-13T00:00:00Z Bill James’s Pythagorean standings formula calculates a team’s expected winning percentage based on runs scored and runs allowed. Yankees’ Winning Record Goes Against the Statistics 2014-08-11T04:00:00Z Other winners of the equation beauty contest included the Pythagorean identity, the identity between exponential and trigonometric functions derivable from Euler’s formula for complex analysis, and the Cauchy-Riemann equations. The Neuroscience of Mathematical Beauty 2014-05-07T14:14:30Z The likes of Euler's identity or the Pythagorean identity are rarely mentioned in the same breath as the best of Mozart, Shakespeare and Van Gogh. Brain finds true beauty in maths 2014-02-13T02:12:09Z But it’s a very special triangle—a 5-12-13 right triangle, illustrating the Pythagorean theorem. Glow Sticks Prove the Math Theorem behind the Famous Flatiron Building 2013-12-11T19:45:02.464Z We begin with the familiar Pythagorean Theorem, and model an equation to fit a situation. Algebra and Trigonometry 2015-02-13T00:00:00Z Mixing equal parts math, history and philosophy, the authors begin with some basics—the Pythagorean theorem, the golden ratio, Fibonacci numbers, and so on—before expanding to introduce more baroque and contemporary theorems. Book Review: Beautiful Geometry 2013-11-22T15:15:00.520Z The code uses the Pythagorean theorem and fuzzy logic to ensure that the numbers dealers send in are plausible dimensions, not lengths given by faulty use of the laser. Paleo Dieters Who Want to Sleep in Caves Lift a Window-Insert Maker 2013-11-12T18:38:54Z The ancient mathematical/musical Pythagorean cult is a bit mysterious, and apparently one of those mysteries is why this construction is called a lute! Strumming the Lute of Pythagoras 2013-05-29T13:45:00.337Z The students, ages 4 to 14, study everything from basic reading and writing to the Pythagorean theorem. Learning Under the Bridge 2013-05-06T15:18:27Z The Pythagorean Theorem along with the sum and difference formulas can be used to find multiple sums and differences of angles. Algebra and Trigonometry 2015-02-13T00:00:00Z In that case, the numbers k, n and form a Pythagorean triple. A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z The Pythagorean theorem is what it is regardless of race or ethnic origin. City Room: The Day: At Elite Schools, a Single Test Comes Under Review 2012-10-15T13:31:09Z The father of baseball sabermetrics, Bill James, developed the Pythagorean winning percentage, which according to baseball-reference.com "is an estimate of a team's winning percentage given their runs scored and runs allowed". MLB: five things we learned in week 19 2012-08-14T15:59:20Z The students, ages 4 to 14, study everything from basic reading and writing to the Pythagorean theorem. Learning Under the Bridge 2013-05-06T15:18:27Z Real-world scenarios can be modeled and solved using the Pythagorean Theorem and trigonometric functions. Algebra and Trigonometry 2015-02-13T00:00:00Z Unfortunately, President Garfield is not able to be here to enjoy his doubly Pythagorean 181st birthday. A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z Part of being a Pythagorean included adhering to a vegetarian diet. Fava - the magic bean 2012-08-08T16:45:05.313Z Modern geometry transcends the formulas for the Pythagorean theorem and the area of a circle that you probably learned in high school. Deep Spaces: Geometry Labs Bring Beautiful Math to the Masses [Slide Show] 2012-07-15T12:15:00.190Z But they also keep track of an imaginary metric called the Pythagorean won-lost record. On Baseball: Raw Numbers Can’t Explain How Indians Win 2012-06-26T02:34:43Z To show that the magnitudes are equal, use the Pythagorean Theorem. Algebra and Trigonometry 2015-02-13T00:00:00Z The Pythagorean theorem describes the relationship between the side lengths of a right triangle. A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z Okay, who can tell me what the Pythagorean theorem is?’ SchoolBook: Deirdre DeAngelis-D'Alessio: Leading Is an 'Us' Business 2012-06-11T16:07:50Z “The item was developed by Pearson to assess fifth graders’ conceptual understanding of perimeter, not the application of the Pythagorean theorem,” Mr. Tompkins said. SchoolBook: State Officials Throw Out Another Pearson Test Question 2012-05-02T16:38:48Z The rapid growth of the Pythagorean school, in the latter days of the Empire, made these considerations familiar to the people.372 Porphyry elaborately advocated, and even Seneca for a time practised, abstinence from flesh. History of European Morals From Augustus to Charlemagne (Vol. 2 of 2) 2012-04-27T02:00:34.267Z The Generalized Pythagorean Theorem is the Law of Cosines for two cases of oblique triangles: SAS and SSS. Algebra and Trigonometry 2015-02-13T00:00:00Z In this case, however, it is clear that the is the Pythagorean theorem. A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z Even these had been preceded by earlier Pythagorean constructions envisaging the divine life in divine triangles. Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 2 "Hearing" to "Helmond" 2012-04-25T02:00:53.567Z The philosophy of the Empire had by this time fully passed into its Neoplatonic and Pythagorean phases, and was closely connected with religious observances. History of European Morals From Augustus to Charlemagne (Vol. 1 of 2) 2012-03-28T02:00:20.770Z Pythagorean, Platonic, and even Zoroastrian and Buddhistic speculations were rife—were in the very air of Alexandria. The Eliminator; or, Skeleton Keys to Sacerdotal Secrets 2012-03-27T02:00:23.077Z For example, the Pythagorean Identity we learned earlier was derived from the Pythagorean Theorem and the definitions of sine and cosine. Algebra and Trigonometry 2015-02-13T00:00:00Z But perhaps his Pythagorean proof is still “something on which the members of both houses can unite without distinction of party.” A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z He seems to have regarded the soul as composed of igneous matter, and so approximates the orthodox Pythagorean doctrine of the central fire, or Hestia, to the more detailed theories of Heraclitus. Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 5 "Hinduism" to "Home, Earls of" 2012-03-25T02:00:05.717Z The aim of the Pythagorean philosophy was to attain the state of ecstasy, and to purify the mind by religious rites. History of European Morals From Augustus to Charlemagne (Vol. 1 of 2) 2012-03-28T02:00:20.770Z But sixteen hundred years ago the philosopher Lucian called attention to the exceptional longevity of the Pythagorean ascetics, whose religious by-laws enjoined total abstinence from wine and all sorts of animal food. Health, Happiness, and Longevity Health without medicine: happiness without money: the result, longevity 2012-03-22T02:00:38.537Z We can also calculate sines and cosines of the special angles using the Pythagorean Identity. Algebra and Trigonometry 2015-02-13T00:00:00Z The diagram from the classical Chinese proof of the Pythagorean theorem. A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z In spite of this divergence, Hippasus is always regarded as a Pythagorean. Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 5 "Hinduism" to "Home, Earls of" 2012-03-25T02:00:05.717Z The Pythagorean and Neoplatonic schools revived the feeling of religious reverence, inculcated humility, prayerfulness, and purity of thought, and accustomed men to associate their moral ideals with the Deity, rather than with themselves. History of European Morals From Augustus to Charlemagne (Vol. 1 of 2) 2012-03-28T02:00:20.770Z If I were half the Pythagorean that I used to be, I should believe they were souls in punishment—expiating some lifetime sin in this restless metempsychosis. Pencillings by the Way Written During Some Years of Residence and Travel in Europe 2012-03-19T02:00:26.650Z Using the Pythagorean Theorem, we find the hypotenuse to be 17. Algebra and Trigonometry 2015-02-13T00:00:00Z So every odd integer k is in some Pythagorean triple. A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z If it be appropriate to a reflective habit of mind to ask with each night-fall the Pythagorean questions, how much more so at the close of the year! Life Without and Life Within or, Reviews, Narratives, Essays, and poems. 2012-03-05T03:00:13.070Z The duty of self-examination was simply a Pythagorean precept, enforced in that school long before the rise of Christianity, introduced into Stoicism when Pythagoreanism became popular in Rome, and confessedly borrowed from this source. History of European Morals From Augustus to Charlemagne (Vol. 1 of 2) 2012-03-28T02:00:20.770Z His period of Pythagorean discipline had already begun. Transcendentalism in New England A History 2012-02-18T03:00:16.210Z Using the Pythagorean Identity, we can find the cosine value. Algebra and Trigonometry 2015-02-13T00:00:00Z For even numbers, we know that the number 4 appears in the Pythagorean triple 3-4-5. A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z The cottage itself is a low, wide, gabled, picturesquely irregular edifice, which our Pythagorean mystic evolved from a forlorn, box-like farm-house which he found here when he purchased the place. Literary Shrines The Haunts of Some Famous American Authors 2012-02-18T03:00:15.287Z The oracles that had been silent were heard again; the astrologers swarmed in every city; the philosophers were surrounded with an atmosphere of legend; the Pythagorean school had raised credulity into a system. History of European Morals From Augustus to Charlemagne (Vol. 1 of 2) 2012-03-28T02:00:20.770Z The Pythagorean formula for that run differential had them at 94-68 as opposed to their actual 90-72 record, and boy, could they have used those extra four wins. DeMarco: Which way will the Red Sox go? 2012-02-17T00:00:46Z Figure 12 A right triangle with two sides known Using the Pythagorean Theorem, we can find the hypotenuse of this triangle. Algebra and Trigonometry 2015-02-13T00:00:00Z The interested reader can use these facts to prove that every even integer greater than 2 appears as a side length of a Pythagorean triple. A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z This Pythagorean idea was expanded by Sir John Davies, in his epic poem Orchestra, published in 1596. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 9 "Dagupan" to "David" 2012-02-11T03:03:39.807Z Golden Rule by Sextus, a Pythagorean, 406 B. C. "What you wish your neighbors to be to you, such be also to them." The World's Sixteen Crucified Saviors Or, Christianity Before Christ 2012-01-19T03:00:18.027Z Here, also, a house in Corinth, once belonging to Eubatides, was left unoccupied, for the same reasons, and began to decay, when the Pythagorean, Arignotus, determined to ascertain the reality of these nightly appearances. Modern Magic 2012-01-01T03:00:09.557Z Then we apply the Pythagorean identity and simplify. Algebra and Trigonometry 2015-02-13T00:00:00Z True, she can still, if she choose, excommunicate a Copernicus for what she denounced as his "false Pythagorean doctrine," but that is all. Ingersoll in Canada A Reply to Wendling, Archbishop Lynch, Bystander; and Others 2011-12-16T03:00:10.740Z The theorem is one of the three most important propositions in plane geometry, the other two being the so-called Pythagorean Theorem, and a proposition relating to the proportionality of the sides of two triangles. The Teaching of Geometry 2011-10-12T02:00:52.133Z In a celebrated passage in his Metamorphoses, Ovid puts into the mouth of the philosopher Pythagoras an account of what was probably regarded as the Pythagorean view of the subject in the Augustan age. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Both the Pythagorean philosophy of ancient Greece and the Chinese philosophy of yin and yang viewed numbers as possessing gender. What is the Sex of 17? 2011-08-30T13:15:00.237Z Applying the Pythagorean identity and simplifying we get: Algebra and Trigonometry 2015-02-13T00:00:00Z But this Diodorus was by birth an Aspendian; but desiring to be thought a Pythagorean, he lived after the fashion of you Cynics, letting his hair grow, being dirty, and going barefoot. The Deipnosophists, or Banquet of the Learned of Athen?us 2011-08-02T02:00:21.843Z This enables us, after the Pythagorean Theorem has been studied, to compute the length of the diameter of the circumscribed circle in terms of the three sides. The Teaching of Geometry 2011-10-12T02:00:52.133Z Pythagorean geometry was essentially a geometry of areas and solids; its goal was the regular solids—the tetrahedron, cube, octahedron, dodecahedron and icosahedron—which symbolized the five elements of Greek cosmology. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The Pythagorean, who lays down the proposition that fruits and grain are the proper food of man, and cites facts to prove his assertion—reasons. A Logic Of Facts Or, Every-day Reasoning 2011-07-22T02:00:18.543Z We can find the length of the cable with the Pythagorean Theorem. Algebra and Trigonometry 2015-02-13T00:00:00Z As for the Pythagorean philosophy, Athenæus explains that to us, and shows us everything in silence more intelligibly than others who undertake to teach the arts which require talking. The Deipnosophists, or Banquet of the Learned of Athen?us 2011-08-02T02:00:21.843Z In case c = 0, this reduces to the Pythagorean Theorem. The Teaching of Geometry 2011-10-12T02:00:52.133Z A fresh stimulus was given by the succeeding Platonists, who, accepting in part the Pythagorean cosmology, made the study of geometry preliminary to that of philosophy. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z They hold ideas on transmigration which are Pythagorean and cabalistic. The Browning Cyclop?dia A Guide to the Study of the Works of Robert Browning 2011-07-16T02:00:19.397Z Explain the relationship between the Pythagorean Theorem and the Law of Cosines. Algebra and Trigonometry 2015-02-13T00:00:00Z And, in his Female Pythagorean, he says— A. The banquet shall be figs and grapes and cheese, For these the victims are which the strict law Allows Pythagoras' sect to sacrifice. The Deipnosophists, or Banquet of the Learned of Athen?us 2011-08-02T02:00:21.843Z Plato and his school interested themselves with the so-called Pythagorean numbers, that is, with numbers that would represent the three sides of a right triangle and hence fulfill the condition that a2 + b2 = c2. The Teaching of Geometry 2011-10-12T02:00:52.133Z This paradoxical incident deepens in mystery when we are to be 7 taught that the druidical institution of Britain was Pythagorean, or patriarchal, or Brahminical. Amenities of Literature Consisting of Sketches and Characters of English Literature 2011-06-03T02:00:19.227Z Hence a universal Pythagorean noviciate would, sooner or later, give rise to epidemics, and Chartreuses of nuns would become pesthouses. Flower, Fruit, and Thorn Pieces; or, the Wedded Life, Death, and Marriage of Firmian Stanislaus Siebenkaes, Parish Advocate in the Burgh of Kuhschnappel. 2011-05-20T02:00:42.297Z When must you use the Law of Cosines instead of the Pythagorean Theorem? Algebra and Trigonometry 2015-02-13T00:00:00Z And Archestratus, the Pythagorean, says, because of his temperate habits, Then we may take a turbot plump, or e'en A rough buglossus in the summer time, If one is near the famous Chalcis. The Deipnosophists, or Banquet of the Learned of Athen?us 2011-08-02T02:00:21.843Z The Pythagorean Theorem, as it is generally called, has had other names. The Teaching of Geometry 2011-10-12T02:00:52.133Z Trapp was to be sneered at in Delany's "News from Parnassus" for claiming in Pythagorean vein that the spirit of Milton had descended to him. The Preface to the Aeneis of Virgil (1718) 2011-05-19T02:00:05.527Z She found here the first man whom she had ever put into an unfeigned enthusiasm for her Pythagorean favorite; and all her chasms turned themselves, blooming, towards Emanuel's image, like flowers toward the sun. Hesperus or Forty-Five Dog-Post-Days Vol. I. A Biography 2011-05-11T02:00:19.453Z We can use a few of the familiar trigonometric identities and the Pythagorean Theorem. Algebra and Trigonometry 2015-02-13T00:00:00Z We shall have dolphins and mullets, ortolans and beccaficos, musk sherbet from Constantinople, true Roman Falernian mingled with honey, and, to crown all, a Pythagorean peacock! Corse de Leon, Volume I (of 2) or, The Brigand; a Romance 2011-05-07T02:00:29.347Z By giving various values to m, different Pythagorean numbers may be found. The Teaching of Geometry 2011-10-12T02:00:52.133Z We found cells that responded to images of Mother Teresa, to cute little animals and to the Pythagorean theorem, a2 + b = c. Being John Malkovich: Personal Control of Individual Brain Cells 2011-04-04T14:15:04.497Z The poem of that sumptuous, accomplished, and arrogant philosopher, entitled Περι φυσεως, and inscribed to his pupil Pausanias, was chiefly illustrative of the Pythagorean philosophy, in which he had been initiated. History of Roman Literature from its Earliest Period to the Augustan Age. Volume I 2011-04-03T02:00:22.843Z We find its magnitude using the Pythagorean Theorem or the distance formula, and we find its direction using the inverse tangent function. Algebra and Trigonometry 2015-02-13T00:00:00Z Heraclides of Pontus and Ecphantus the Pythagorean assign a motion to the earth, not progressive, but after the manner of a wheel being carried on its own axis. The gradual acceptance of the Copernican theory of the universe 2011-04-03T02:00:15.847Z The name is applied by the French to the Pythagorean Theorem. The Teaching of Geometry 2011-10-12T02:00:52.133Z He then explained to him that system which many ages afterward was surnamed the Pythagorean philosophy. Voltaire's Romances, Complete in One Volume 2011-03-20T02:00:21.247Z Speaking generally, we may say that the Pythagorean geometry covered the bulk of the subject-matter of Books I., II., Archimedes Men of Science 2011-03-13T03:00:23.660Z We use the Pythagorean Theorem to find the magnitude. Algebra and Trigonometry 2015-02-13T00:00:00Z By common consent the most virtuous livers of Greece were the members of the Pythagorean schools, both men and women. Apollonius of Tyana, the Philosopher-Reformer of the First Century A.D. 2011-03-04T03:01:05.837Z Then P is a right angle by the Pythagorean Theorem. The Teaching of Geometry 2011-10-12T02:00:52.133Z His pupils were thus enabled to correspond together in unknown characters; and, by the signs and words employed, they could discover among strangers those who had been educated in the Pythagorean school. Voltaire's Romances, Complete in One Volume 2011-03-20T02:00:21.247Z For his education he was chiefly indebted to Lysis of Tarentum, a Pythagorean exile who had found refuge with his father Polymnis. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 6 "English Language" to "Epsom Salts" 2011-02-19T03:00:59.807Z PYTHAGOREAN.—Memoirs of a Pythagorean, in which are delineated the Manners, Customs, Genius and Polity of Ancient Nations, interspersed with a variety of Anecdotes . . . A Catalogue of Books in English Later than 1700 (Vol 2 of 3) Forming a portion of the library of Robert Hoe 2011-02-16T03:00:34.387Z We are not, however, among those who believe that the origin of the Therapeut communities of Philo and of the Essenes of Philo and Josephus is to be traced to Orphic and Pythagorean influence. Apollonius of Tyana, the Philosopher-Reformer of the First Century A.D. 2011-03-04T03:01:05.837Z In diet I had long been a Pythagorean, so that the scraggy, long-limbed sheep which browsed upon the wiry grass by the Gaster Beck had little to fear from their new companion. The Man from Archangel and Other Tales of Adventure 2011-01-01T03:00:24.903Z When football commentators speak, they don't often mention the Pythagorean theorem, but perhaps they should. Videos demonstrate some of the science behind football 2010-11-15T22:26:03Z For an hour, with digital video equipment capturing a panoramic view of the classroom, Ms. Maher taught her students the Pythagorean theorem. Video Eye Aimed at Teachers in 7 School Systems 2010-12-04T01:20:00Z But the 2010 Padres are actually underperforming their Pythagorean win-loss record by one game this year, after exceeding it by eight games last year. Keeping Score: What's Made Padres Better? Pitching 2010-06-25T00:00:00Z Such was the general declaration of the nature of the Pythagorean discipline by its disciples. Apollonius of Tyana, the Philosopher-Reformer of the First Century A.D. 2011-03-04T03:01:05.837Z Under the new math standards, eighth graders would be expected to use the Pythagorean theorem to find distances between points on the coordinate plane and to analyze polygons. National Academic Standards Are Released 2010-06-02T16:02:00Z Lessons include the role of parabolas in punting, how defenders instinctively use the Pythagorean theorem to prevent touchdowns and why the shape of a football - a prolate spheroid - helps quarterbacks throw spirals. Videos demonstrate some of the science behind football 2010-11-15T22:26:03Z Eighth-graders would be expected to use linear equations to solve for an unknown and explain a proof of the Pythagorean theorem on properties of a right triangle -- cornerstones of algebra and geometry. Governors, state school superintendents propose common academic standards 2010-03-10T20:43:00Z This numeral came to be regarded in consequence as symbolical of the divinity, and the Pythagorean school gravely inculcated it as a point of morals to abstain from intruding upon so illustrious an example. A Cursory History of Swearing The close resemblance, however, between many of the features of Pythagorean discipline and doctrine and Indo-Aryan thought and practice, make us19 hesitate entirely to reject the possibility of Pythagoras having visited ancient Āryāvarta. Apollonius of Tyana, the Philosopher-Reformer of the First Century A.D. 2011-03-04T03:01:05.837Z We may be sure that no Pythagorean teacher of that age would fail to discuss with his pupil the problem of the future life. Roman Society from Nero to Marcus Aurelius One of the bean family still retains the name of the Pythagorean bean. The New Gresham Encyclopedia. Vol. 1 Part 3 Atrebates to Bedlis He was a Pythagorean in philosophy, and Plato and Aristotle are said to have been both deeply indebted to him. The New Gresham Encyclopedia. Vol. 1 Part 2 Amiel to Atrauli Hence, too, music was one chief ingredient of the Pythagorean philosophy, as well as a necessary element of the worship of Apollo, as best expressing the harmony on which both were founded. The History and Antiquities of the Doric Race, Vol. 1 of 2 Not only was Apollonius an adherent of the Pythagorean philosophy, but “he fully exemplified the more divine and practical side in it.” Apollonius of Tyana, the Philosopher-Reformer of the First Century A.D. 2011-03-04T03:01:05.837Z And his contempt for the body or the flesh, and many of the phrases in which its cramping, lowering influences are described, savour of the Pythagorean and Platonist schools. Roman Society from Nero to Marcus Aurelius Aristotle, we are told, possessed a somewhat extensive library; and Plato is recorded to have paid the large sum of one hundred minae for three small treatises of Philolaus the Pythagorean. Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 2 "Bohemia" to "Borgia, Francis" He was in his early youth a Pythagorean, but recanted that philosophy and formulated a philosophy of his own. A Critical History of Greek Philosophy I have thought for a long time," Sonnenkamp said with a laugh, "that I was a Pythagorean. Villa Eden: The Country-House on the Rhine Now for the student of the Pythagorean and Platonic schools the “dæmon” of a man was what may be called the higher self, the spiritual side of the soul as distinguished from the purely human. Apollonius of Tyana, the Philosopher-Reformer of the First Century A.D. 2011-03-04T03:01:05.837Z On the higher level of the new Pythagorean faith, everything is possible to the pure spirit. Roman Society from Nero to Marcus Aurelius The first idea of revolutionizing the heavens was suggested to Copernicus, as he tells us himself, by an ancient Greek philosopher, by Philolaus, the Pythagorean. Lectures on The Science of Language There he founded the Pythagorean Society and lived for many years at the head of it. A Critical History of Greek Philosophy She was the wife of Malon, the celebrated athlete, also of the Pythagorean order; their union was in all respects a happy one. Greek Women I speak of Pythagoras the Samian—him of the golden thigh, the founder of what is called the Pythagorean philosophy.” Tales from "Blackwood," Volume 2 It was popularised by Pindar, “the Homer of the Pythagorean school.” Roman Society from Nero to Marcus Aurelius Philolaus, the Pythagorean, his guess on the motion of the earth round the sun, 29. Lectures on The Science of Language Lastly, towards the end of his life, Plato identified the Ideas with the Pythagorean numbers. A Critical History of Greek Philosophy Fragments of these works show the Pythagorean idea concerning the mission of woman. Greek Women “Eh, eh—I may be mistaken—but I—I—” “Mistaken!” exclaimed I; “zounds, you were never more egregiously mistaken, even when you advocated the Pythagorean doctrine of Metempsychosis!” Tales from "Blackwood," Volume 2 That such a faculty exists is certain to the Platonist and the Pythagorean. Roman Society from Nero to Marcus Aurelius His dissatisfaction with Ptolemaic doctrines was of early date; and he returned from Italy, where so-called Pythagorean opinions were then freely discussed, in strong and irrevocable possession of the heliocentric theory. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 3 "Convention" to "Copyright" There is little to be said by way of criticism of the Pythagorean system. A Critical History of Greek Philosophy The female members of the Academy did not attain to such distinction as did the Pythagorean Women. Greek Women In a word, I am what I have designated myself, “A Modern Pythagorean.” Tales from "Blackwood," Volume 2 It may, at first sight, appear strange that a mystic like Apollonius, of the Pythagorean school, should so seldom allude to the subject of immortality. Roman Society from Nero to Marcus Aurelius Grote states that, about 300 B.C., the Pythagorean philosophy nearly died out. The Fundamental Principles of Old and New World Civilizations Hence the Pythagorean position that the world is made of numbers. A Critical History of Greek Philosophy Existing fragments of the works of "Pythagorean Women" indicate their lofty views of moral perfection and harmony, and their practical judgment in everyday affairs. Greek Women “There must be some truth in the Pythagorean doctrine, and I am labouring under a Metempsychosis.” Tales from "Blackwood," Volume 2 The Pythagorean dream-readers, the interpreters from hand and face and form, the interpreters of sieve and dish and dice, are all deceivers and charlatans. Roman Society from Nero to Marcus Aurelius The young man had not been aware that he was possessed by a devil, but from that moment, his wild, disturbed looks changed, he became very temperate, and assumed the garb of a Pythagorean philosopher. Bible Myths and their Parallels in other Religions Being a Comparison of the Old and New Testament Myths and Miracles with those of the Heathen Nations of Antiquity Considering also their Origin and Meaning But in the end the Pythagorean view won the day. A Critical History of Greek Philosophy Other writers name other female adepts in Pythagorean philosophy, who lived during and after the time of Pythagoras. Greek Women In the midst of the troubles befalling Italy as the consequence of these Pythagorean machinations, it is impossible to ascertain facts with certainty. History of the Intellectual Development of Europe, Volume I (of 2) Revised Edition The Orphic and Pythagorean mysticism which traced itself to Egypt or the remoter East, returned to its sources, to aid in moulding the cults of Egypt into a worship for the world. Roman Society from Nero to Marcus Aurelius —In the Roman empire, its Persian element was the worship of Mithras; its Egyptian, that of Isis; its Grecian, the Pythagorean doctrines. Pedagogics as a System The Pythagorean ethical views were rigorous and ascetic in character. A Critical History of Greek Philosophy Of all the Pythagorean Women, none attained such exalted rank as Pythagoras's wife, the high-minded Theano. Greek Women Apollonius was a Pythagorean philosopher, born in Cappadocia about four years before the Christian era. History of Free Thought in Reference to The Christian Religion The descent of the soul into gross material form, and its possible ascent again, if duly fortified, to ethereal worlds, was common to Mithra and the Orphic and Pythagorean systems. Roman Society from Nero to Marcus Aurelius In philosophy he was a Pythagorean; and, like most of that school, a great mathematician; and applied his favourite science not only to music, but also to metaphysics. The Academic Questions, Treatise De Finibus, and Tusculan Disputations, of M.T. Cicero, With a Sketch of the Greek Philosophers Mentioned by Cicero At this point, then, we reach the heart of the Pythagorean philosophy. A Critical History of Greek Philosophy In these Pythagorean Women, we observe the perfect blending of intellectual beauty with moral elevation. Greek Women The Pythagorean philosophy of transmigration of the soul, and relation of various transformations. The Metamorphoses of Publius Ovidus Naso in English blank verse Vols. I & II Platonist and Pythagorean, even when they might reverently handle the ancient symbolism of ritual, were teaching that communion with the Infinite Father was only possible to a soul emancipated from the tyranny of sense. Roman Society from Nero to Marcus Aurelius It is believed that he wrote nothing himself, and that the earliest Pythagorean treatises were the work of Philolaus, a contemporary of Socrates. The Academic Questions, Treatise De Finibus, and Tusculan Disputations, of M.T. Cicero, With a Sketch of the Greek Philosophers Mentioned by Cicero And to the effects of this journey may be attributed the strong Pythagorean elements which permeate his thought. A Critical History of Greek Philosophy Consequently, they did not cultivate those domestic virtues which made the Pythagorean Women so superior. Greek Women It was often at this time referred to as the Pythagorean theory, and it had been taught, I believe, by Aristarchus. Pioneers of Science He adopted the Pythagorean discipline under the influence of Sotion, a pupil of Sextius, but gave it up on the proscription of suspected rites in the reign of Tiberius, cf. Roman Society from Nero to Marcus Aurelius Heraclitus was an Ephesian, and is said to have been a pupil of Xenophanes, though this statement is much doubted; others call him a pupil of Hippasus the Pythagorean. The Academic Questions, Treatise De Finibus, and Tusculan Disputations, of M.T. Cicero, With a Sketch of the Greek Philosophers Mentioned by Cicero After many years of profound meditation and thought, Copernicus, in a treatise entitled ‘De Revolutionibus Orbium Celestium,’ propounded a new theory, or, more correctly speaking, revived the ancient Pythagorean system of the universe. The Astronomy of Milton's 'Paradise Lost' Melissa is known only by a short fragment on feminine love of adornment; and Ptolemais was a specialist in music and an authority on the Pythagorean theory of music in its relation to life. Greek Women Ennius also believed in the Pythagorean theory of metempsychosis, and considered that his soul had animated the body of a peacock. The Student's Companion to Latin Authors He abandoned Pythagorean abstinence, as suspicious, during the persecution of eastern cults; cf. Roman Society from Nero to Marcus Aurelius The fundamental thought of the Pythagorean philosophy was the idea of proportion and harmony. History of Education "Modern criticism has clearly shown that the works ascribed to Timæus and Archytas are spurious; and the treatise of Ocellus Lucanus on 'The Nature of the All' can not have been written by a Pythagorean." Christianity and Greek Philosophy or, the relation between spontaneous and reflective thought in Greece and the positive teaching of Christ and His Apostles A party of Pythagorean pilgrims, while on their way to Metapontum to celebrate certain rites, were attacked by a band of Syracusans. Greek Women Think of the English language, basic business methods, tables of logarithms, the Pythagorean theorem, Shakespeare's insights about human nature, the periodic table, Ohm's law, the sonnet form, the musical scale. The Public Domain Enclosing the Commons of the Mind Seneca came under Pythagorean influences in his youth, and he constantly rounds off a letter to Lucilius with a quotation from Epicurus. Roman Society from Nero to Marcus Aurelius The spectacle of the universe absorbed him, and listening for the Pythagorean music of the spheres he sometimes became deaf to the voices of those puny lives about him. The Orchard of Tears The key to all the Pythagorean dogmas, then, seems to be the general formula of unity in multiplicity:--unity either evolving itself into multiplicity, or unity discovered as pervading multiplicity. Christianity and Greek Philosophy or, the relation between spontaneous and reflective thought in Greece and the positive teaching of Christ and His Apostles I used to think that, according to the Pythagorean doctrine, he must have been, or been going to be a Gilmerton carter. Spare Hours The Pythagorean School itself may serve as a type of the discipline enforced. Esoteric Christianity, or The Lesser Mysteries Hence, although a man in the second century might be labelled Platonist or Stoic, Cynic or Pythagorean, it would often be difficult from his moral teaching to discover his philosophic ancestry and affinities. Roman Society from Nero to Marcus Aurelius I contemplate opening a new Pythagorean Institute for instruction of the artistic young. The Orchard of Tears He left Ionia, and arrived in Italy about the same time as Pythagoras, bringing with him to Italy his Ionian tendencies; he there amalgamated them with Pythagorean speculations. Christianity and Greek Philosophy or, the relation between spontaneous and reflective thought in Greece and the positive teaching of Christ and His Apostles It is, indeed, the old Pythagorean "music of the spheres" audible at last again. Visions and Revisions A Book of Literary Devotions Another tenet of the Pythagorean faith was a total abstinence from beans, an arrangement which would be objectionable in New England and in Nassau street eating houses. The Humbugs of the World An Account of Humbugs, Delusions, Impositions, Quackeries, Deceits and Deceivers Generally, in All Ages It is pretty clear that Peregrinus was not an ordinary Cynic; he had felt the spell of Oriental and Pythagorean mysticism. Roman Society from Nero to Marcus Aurelius Not that the Pythagorean hypothesis was totally forgotten. Great Men and Famous Women. Vol. 3 A series of pen and pencil sketches of the lives of more than 200 of the most prominent personages in History Ritter is decidedly of opinion that the Pythagorean formula "can only be taken symbolically." Christianity and Greek Philosophy or, the relation between spontaneous and reflective thought in Greece and the positive teaching of Christ and His Apostles But enough is known to indicate the above mentioned relationship to the Pythagorean school, and of the firm hold of the doctrine of Reincarnation upon the Druids. Reincarnation and the Law of Karma A Study of the Old-New World-Doctrine of Rebirth, and Spiritual Cause and Effect Greek legend made him a Getan slave of Pythagoras, who on manumission went home, became priest of the chief deity of the Getae, and taught the Pythagorean doctrine of the immortality of the soul. The Apologia and Florida of Apuleius of Madaura When a youthful Eclectic professed his readiness to obey any philosophic call, from the Academy, the Porch, or the Pythagorean discipline of silence, Demonax cried out, “Pythagoras calls you.” Roman Society from Nero to Marcus Aurelius The Pythagorean system of the universe, revived by Copernicus in the sixteenth century, and now confirmed; in which the sun occupies the central space, and the planets with their attendant satellites revolve about him. The Sailor's Word-Book An Alphabetical Digest of Nautical Terms, including Some More Especially Military and Scientific, but Useful to Seamen; as well as Archaisms of Early Voyagers, etc. The former constituted the field of Pythagorean the latter of Eleatic contemplation. Christianity and Greek Philosophy or, the relation between spontaneous and reflective thought in Greece and the positive teaching of Christ and His Apostles The excesses of which M. Taine speaks must have been at the utmost some slight deviations from the real Pythagorean abstinence which he had laid down as the rule of his life. My Recollections of Lord Byron Disgusted with the mercenary spirit of the Peripatetic, the inquirer next determined to make a trial of Pythagorean philosophy. The Great Events by Famous Historians, Volume 03 The preachers, as we have said, belonged to all the different schools, Stoic or Platonist, Cynic or Pythagorean; sometimes, like Dion, they owed little academic allegiance at all. Roman Society from Nero to Marcus Aurelius You wonder that so few are believers in the Pythagorean hypothesis; I wonder that there are any to embrace it. The World's Greatest Books — Volume 15 — Science The Pythagorean doctrine of numbers might have been combined with the doctrine of atoms, and the combination might have led to results worthy of notice. Christianity and Greek Philosophy or, the relation between spontaneous and reflective thought in Greece and the positive teaching of Christ and His Apostles Along with him was also sent forth Aletheia; and these four constituted the first and first-begotten Pythagorean Tetrad, which also they denominate the root of all things. A Source Book for Ancient Church History But the celebrated Pythagorean teacher whom he consulted wished him to learn music, astronomy, and geometry. The Great Events by Famous Historians, Volume 03 The earlier Platonist or Pythagorean daemonology was not employed to explain or rehabilitate polytheism. Roman Society from Nero to Marcus Aurelius The immediate effects of this bean—whether white, black, Pythagorean, Lima, kidney, or what not—were three-fold: 1. The Atlantic Monthly, Volume 14, No. 85, November, 1864 The mathematical and scientific study of natural phenomena must always lead to a certain Pythagorean habit of thought. Christianity As Mystical Fact And The Mysteries of Antiquity The Pythagorean and Orphic sects developed this tie. Folkways A Study of the Sociological Importance of Usages, Manners, Customs, Mores, and Morals When it awoke from time to time in the minds of thinking men it was apt to express itself in Pythagorean tones. The Religious Experience of the Roman People From the Earliest Times to the Age of Augustus Musonius fortified the austere Stoic and Cynic precepts by the ascetic discipline of the Pythagorean school. Roman Society from Nero to Marcus Aurelius My Spiritual World before was a chaos of facts; my Theology, a Pythagorean system trying to make the best of Phenomena apart from the idea of Law. Natural Law in the Spiritual World You could say he was a second Democritus, or better, that Pythagorean philosopher who saunters through the market-place with a tranquil mind gazing on the uproar of buyers and sellers. Erasmus and the Age of Reformation A prevalent kind of sorcery was that of lycanthropy, as it was called, a prejudice derived, it seems, in part from the Pythagorean metempsychosis. The Superstitions of Witchcraft South Italy was indeed the true home of the Pythagorean teaching. The Religious Experience of the Roman People From the Earliest Times to the Age of Augustus But although the critical historian must reject much of the narrative, the faith of the Pythagorean missionary of the reign of Domitian stands out in clear outline. Roman Society from Nero to Marcus Aurelius Here, narrowing his bodily wants to within the limits of a Pythagorean fare, he led a life of a truly simple type surrounded by books and roses, and, as ever, by a few firm friends. Rubáiyát of Omar Khayyám and Salámán and Absál Together With A Life Of Edward Fitzgerald And An Essay On Persian Poetry By Ralph Waldo Emerson In diet I had long been a Pythagorean, so that the scraggy, long-limbed sheep which browsed upon the wiry grass by the Gaster Beck had little to fear from their new companion. Danger! and Other Stories The similarity of Sooffeeism to the ancient Pythagorean and Platonic doctrines will occur to every one at all acquainted with the religion and philosophy of antiquity. History of the Moors of Spain Of this translation a fragment survives; and in the introductory sentences he indicates a second stimulus to his Pythagorean tendencies, besides Posidonius. The Religious Experience of the Roman People From the Earliest Times to the Age of Augustus But he early devoted himself to the severe asceticism of the Pythagorean sect, wore pure linen, abstained from wine and flesh, observed the five years of silence, and made the temple his home. Roman Society from Nero to Marcus Aurelius The Pythagorean league taught philosophy alone; full instruction was given in the liberal arts and sciences in accordance with the learning of that age. Mysticism and its Results Being an Inquiry into the Uses and Abuses of Secrecy In that, he is simply following the tradition of the Pythagorean society to which he belonged, as is shown by his identification of matter with space, or rather with ‘room’. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield The celebrated cures by Vespasian are connected with the ordinary theurgy of the Pythagorean School; and Apollonius is found here, as in many other instances, to be the instrument of a political party. Historical Sketches, Volume I (of 3) The Turks in Their Relation to Europe; Marcus Tullius Cicero; Apollonius of Tyana; Primitive Christianity The famous Orphic tablets from South Italy are taken as dating from the third and fourth centuries B.C., and if not actually Pythagorean, they are next door to being so. The Religious Experience of the Roman People From the Earliest Times to the Age of Augustus As a didactic system, indeed, the school had long disappeared, but the Pythagorean askesis seems never to have lost its continuity. Roman Society from Nero to Marcus Aurelius Every Pythagorean obeys his defunct philosopher; and almost every Christian disobeys his living God. Imaginary Conversations and Poems A Selection Just for that reason, the Pythagorean philosopher will take part in practical life when the opportunity offers, and he will even rule the state if called upon to do so. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield Theurgic virtues, or those which consisted in communion with the Powers and Principles of nature, were high in the scale of Pythagorean excellence, and to them it was that he ascribed his extraordinary gift. Historical Sketches, Volume I (of 3) The Turks in Their Relation to Europe; Marcus Tullius Cicero; Apollonius of Tyana; Primitive Christianity According to the authentic Clavigero, in his history of Mexico, we find the Pythagorean transmigration carried on in the West, and not less fancifully than in the countries of the East. Curiosities of Literature, Vol. 1 The stout Roman soldier and the Pythagorean apostle have the same scorn for the imperial charioteer and actor. Roman Society from Nero to Marcus Aurelius According to the Pythagorean teaching, the human soul emanates from the Soul of the World, thus affirming, at the outset, the divine nature of the former. Reincarnation A Study in Human Evolution It soon proved, however, that the Pythagorean doctrine in its entirety was too high a one for its adherents, and a rift between Pythagorean religion and Pythagorean science was inevitable. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield The selection of a Pythagorean Philosopher for the purpose of a comparison with our Lord was judicious. Historical Sketches, Volume I (of 3) The Turks in Their Relation to Europe; Marcus Tullius Cicero; Apollonius of Tyana; Primitive Christianity Apollonius is said to have studied the philosophy of the Platonic, Sceptic, Epicurean, Peripatetic and Pythagorean schools, and to have adopted that of Pythagoras. Outlines of Greek and Roman Medicine The votaries of the higher life, after their persecution under the last cruel despot, rose to an influence such as they had never wielded save in the Pythagorean aristocracies of southern Italy. Roman Society from Nero to Marcus Aurelius In the tropics man is naturally a Pythagorean, but he is not so strong, or so healthy, or moral, or intellectual, as the flesh-eating nations of northern latitudes. The Atlantic Monthly, Volume 17, No. 101, March, 1866 We may also take it that he was familiar with all sorts of Orphic and Pythagorean sectaries. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield A single glance sufficed, and simultaneously with that glance had the cry fallen from his lips, and the sack of Pythagorean beans from his grasp. The Cliff Climbers A Sequel to "The Plant Hunters" Why, a Pythagorean would have eaten a peacock sooner than one of us would have injured a robin. Notes and Queries, Number 179, April 2, 1853. A Medium of Inter-communication for Literary Men, Artists, Antiquaries, Genealogists, etc “You see, sir,” said Mr. Cargill, “you are like to have a Pythagorean entertainment; but you are a traveller, and have doubtless been in your time thankful for bread and milk.” St. Ronan's Well In immediate succession to the Pythagorean and Eleatic philosophies came the work of Plato. A Short History of Greek Philosophy The Pythagorean and the Orphic rules of life were well known throughout antiquity, and were probably obeyed by large numbers. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield A Pythagorean doctrine of numbers was therefore congenial to his mind. Hours in a Library, Volume I. (of III.) This gives a major scale, with the Pythagorean third, consisting of two great steps, which was too sharp to be consonant. A Popular History of the Art of Music From the Earliest Times Until the Present I have among my slaves, who work as vintners and olive-gatherers, a physician of Thrace, as also a philosopher of the island of Rhodes, a member of the Pythagorean League. The Flutter of the Goldleaf; and Other Plays The latter was, after the manner of the Pythagorean and Egyptian mysteries, taught only to certain persons, who were bound, under the most solemn anathema, not to divulge it. Alroy The Prince Of The Captivity It is possible that the Pythagorean and Platonic doctrine may still have a future. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield You become a devout believer in the Pythagorean and Platonic doctrine of metempsychosis and reminiscence, and are awed by the mysterious consciousness of the thought "Before!" Recreations of Christopher North, Volume 2 The particular branch of the Pythagorean system with which we are concerned, is that which treats of the Music of the Spheres. Shakespeare and Music With Illustrations from the Music of the 16th and 17th centuries The Pythagorean and Platonic, more rarely the Stoic philosophy, were compelled to do service here. History of Dogma, Volume 1 (of 7) The Pythagorean ideas as to particular numbers are partially expressed in the following: Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry Now the Pythagorean use of the term depends on a certain way of regarding man, which there is good reason for ascribing to Pythagoras himself. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield Whoever would see how vividly, with what an honest and vigorous verisimilitude, the doctrine can be embodied, should read "The Modern Pythagorean," by Dr. Macnish. The Destiny of the Soul A Critical History of the Doctrine of a Future Life Phil.'s experience of the supper-party has so far changed his views that he wishes as soon as may be to change his character of Stoic for that of Pythagorean. Shakespeare and Music With Illustrations from the Music of the 16th and 17th centuries This Pythagorean Community was organized out of a necessity in order to escape the blow-ins who sailed across from Greece intent on some new thing, but principally to get knowledge and a living without work. Little Journeys to the Homes of the Great - Volume 10 Little Journeys To The Homes Of Great Teachers By the Tau Cross the Cabalists expressed the number 10, a perfect number, denoting Heaven, and the Pythagorean Tetractys, or incommunicable name of God. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry On the one hand, he is determined to avoid everything ‘transcendental’, and his dislike of Pythagorean and Platonist mathematics is mainly due to that. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield Number and harmony, as in the Pythagorean system, are everywhere dominant in this under-world. Scientific American Supplement, No. 365, December 30, 1882 Then, looking at me, he asked me my name, adding, with a bow, that his name was P. Royal Wyeth, Professor of Pythagorean Research and Abstruse Paradox. In Search of the Unknown The final blow to the Pythagorean College came through jealousy and misunderstanding of the citizens outside. Little Journeys to the Homes of the Great - Volume 10 Little Journeys To The Homes Of Great Teachers That intermingling of oriental and occidental rites, of Persian and Pythagorean opinions, which we have pointed out in the doctrines of Philo, is unmistakable in the creeds of these two sects. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry The Pythagorean contributions to geometry were even more remarkable. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield We see here the view expressed that socially as well as intellectually the Druids lived according to the Pythagorean philosophy. Celtic Religion in Pre-Christian Times I am a Pythagorean; I have been chosen to bring in a convert, and you were the convert selected for me by the Mahatmas of the Consolidated Trust Company. In Search of the Unknown The Pythagorean plan of treating the sick by music was long considered as mere incantation, but there is a suspicion now that it was actual science. Little Journeys to the Homes of the Great - Volume 10 Little Journeys To The Homes Of Great Teachers The Pythagorean arithmetic is the bond and universal logic of the knowable. Myth and Science An Essay In the third century an empress had the life of Apollonius of Tyana written, to be, as it were, a Pythagorean gospel opposed to the gospel of Christ. History Of Ancient Civilization With him were a Stoic, a Peripatetic, a Pythagorean, a Platonist, and a doctor, who began to tell stories so absurd and abounding in such monstrous superstition that he ended by leaving them in disgust. Greek and Roman Ghost Stories But it seems indisputable that there were widely spread both in Greece and Italy societies called Pythagorean or Orphic which inculcated a common rule of life and believed in metempsychosis. Hinduism and Buddhism, An Historical Sketch, Vol. 3 And so there are hundreds of these Pythagorean sayings that have vexed our classic friends for over two thousand years. Little Journeys to the Homes of the Great - Volume 10 Little Journeys To The Homes Of Great Teachers In Greece the historical course of this faculty ramified into two classes of research, which were at that time objective, the Ionic and the Pythagorean schools. Myth and Science An Essay Once more, come along in silence, my Pythagorean father-in-law. The works of John Dryden, now first collected in eighteen volumes. Volume 07 The simple-hearted Pythagorean had slept himself sober, without being aware of the cause of his break-down at the dinner, and he now appeared among them in a gala dress of snow-white linen. The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One Belief in astrology was once common, and Spenser being a Pythagorean would hold the doctrine of the influence of the stars on human destiny. Spenser's The Faerie Queene, Book I And so he journeyed into Southern Italy, and at Crotona built his Temple to the Muses and founded the Pythagorean School. Little Journeys to the Homes of the Great - Volume 10 Little Journeys To The Homes Of Great Teachers This conception was shadowed forth in the Pythagorean theory of the mythical harmony of the spheres: that school regarded the world as a musical system, an harmonious dance of planets. Myth and Science An Essay Societies such as the Pythagorean and Orphic brotherhoods were also common in Greece from the sixth century B.C. onwards but the result was small, for the genius of the Greeks turned towards politics and philosophy. Hinduism and Buddhism, An Historical Sketch, Vol. 1 Even the Pythagorean relished the proposal, for although peculiar in his opinions, he was sufficiently liberal, and too much of a gentleman, to quarrel with those who differed from him. The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One The Druidic teaching of a bodily immortality was mistakenly assumed to be the same as the Pythagorean doctrine of the soul reincarnated in body after body. The Religion of the Ancient Celts These lectures contain the very essence of Pythagorean philosophy, and include so much practical commonsense that they are still quoted. Little Journeys to the Homes of the Great - Volume 10 Little Journeys To The Homes Of Great Teachers The chief Greek schools in his age were the Stoic, the Platonic, the Skeptic and the Pythagorean, which had each its professors in the Museum and its popular preachers in the public lecture-halls. Philo-Judaeus of Alexandria The Lodge sent him to proclaim them in the way he did: the best way possible, since the Pythagorean effort had failed of its greatest success. The Crest-Wave of Evolution A Course of Lectures in History, Given to the Graduates' Class in the Raja-Yoga College, Point Loma, in the College-Year 1918-19 The lengthy figure of the unsubstantial Pythagorean was cased in linen garments, almost snow-white, through which his anatomy might be read as distinctly as if his living skeleton was naked before them. The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One These passages are generally taken to mean that the Celts believed simply in transmigration of the Pythagorean type. The Religion of the Ancient Celts Plato now picked the weak points in the Pythagorean philosophy and sought, in imagination, to construct a fabric that would stand the test of time. Little Journeys to the Homes of the Great - Volume 10 Little Journeys To The Homes Of Great Teachers This feature of his thought is commonly ascribed to Pythagorean influence, which was strong at Alexandria, and, indeed, throughout the world, at this era. Philo-Judaeus of Alexandria At sixteen he set himself under Pythagorean discipline; kept silence absolute for five years; traveled, healing and teaching, and acquired a great renown throughout Asia Minor. The Crest-Wave of Evolution A Course of Lectures in History, Given to the Graduates' Class in the Raja-Yoga College, Point Loma, in the College-Year 1918-19 The last whom we shall enumerate, although not the least, was a very remarkable character of that day, being no other than Cooke, the Pythagorean, from the county of Waterford. The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One In Gaul, and to some extent in Ireland, the Druids formed a priestly corporation—a fact which helped classical observers to suppose that they lived together like the Pythagorean communities. The Religion of the Ancient Celts However, the Pythagorean School had much virtue on its side, and made a sincere and earnest effort to solve certain problems that yet are vexing us. Little Journeys to the Homes of the Great - Volume 10 Little Journeys To The Homes Of Great Teachers It cannot be doubted that their manner of life was to some degree an imitation of the Pythagorean brotherhoods, which ever since the sixth century had spread a sort of monasticism through the Greek world. Philo-Judaeus of Alexandria For thou didst daily repeat in my ear and instil into my mind the Pythagorean maxim, "Follow after God." The Consolation of Philosophy "All I say upon the subject," observed the Pythagorean, "is simply this, that Pythagoras himself could not have cured me of the rheumatism as my friend Valentine Greatrakes has done." The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One A comparison with the Pythagorean doctrine shows that the Celtic belief differed materially from it. The Religion of the Ancient Celts In this way Pericles was impressed by the Pythagorean philosophy, and very often quotes it in his speeches. Little Journeys to the Homes of the Great - Volume 10 Little Journeys To The Homes Of Great Teachers He became intimate there with one Nearchus, a philosopher of the Pythagorean school, and listened with much interest to his discourses. Plutarch's Lives, Volume II Their sacrifices also were connected with the Pythagorean doctrine; they were for the most part bloodless, and performed with flour, libations of wine, and all the commonest things. Plutarch's Lives, Volume I "Devil a mouthful; and we are to have the celebrated Cooke, the Pythagorean." The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One The only thing like it of which they knew was the Pythagorean doctrine. The Religion of the Ancient Celts So at last Miss Clinker invented a plan, almost Pythagorean in its way, and it proved very helpful to her patroness. Halcyone Like the Jesuits, the Pythagorean league entangled itself with politics and became the object of hatred and violence. A Short History of Monks and Monasteries He was a man who lived in old times and underwent the Pythagorean training. Plutarch's Lives, Volume I "You hear, sir," said Doolittle, addressing the Pythagorean; "you perceive that I am adopting your system?" The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One Some maintain that the Earth is stationary, but Philolaus the Pythagorean says that it revolves in a circle about the fire of the ecliptic, like the sun and moon. Prefaces and Prologues to Famous Books with Introductions, Notes and Illustrations This conflict caused a vigorous denunciation of the teachings of the Pythagorean and Platonic schools, which held to the perverted doctrine that a human soul could degenerate into the state of the animal. Mystic Christianity The Pythagorean idea, that Justice is Retaliation, is inadequate; proportion and other circumstances must be included. Moral Science; a Compendium of Ethics It is with the doctrine of the transmigration of souls that the Pythagorean philosophy is specially associated. The Nuttall Encyclopædia Being a Concise and Comprehensive Dictionary of General Knowledge Our readers, consequently, need not feel surprised at the complaint of the philosopher, which was a chronic and most excruciating rheumatism that racked every bone in his Pythagorean body. The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One Hence that wide-spread Pythagorean philosophy, with its spheral harmonics and esoteric mysteries, uniting in one brotherhood for many years men of thought and action,—dare we say, our inferiors? The Atlantic Monthly, Volume 03, No. 20, June, 1859 I have been reading a treatise of Baader's on the Pythagorean square in nature, or the four quarters of the globe. The German Classics of the Nineteenth and Twentieth Centuries, Volume 03 Masterpieces of German Literature Translated into English. in Twenty Volumes A Pythagorean would gloat over its accuracy, and a vegetable diet man would become inflated with its success in establishing his eccentricities. The Mirror of Literature, Amusement, and Instruction Volume 19, No. 546, May 12, 1832 Thy counterpart I saw, A wan Pythagorean, yesterday. Theocritus, translated into English Verse And who placed me before a sirloin of beef?" asked the philosopher; "I, who follow the principles of the Great Pythagorean. The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One Damon "the Pythagorean" opposed the appointment, and even tried to stab "the tyrant," but was arrested and condemned to death. Character Sketches of Romance, Fiction and the Drama, Vol. 1 A Revised American Edition of the Reader's Handbook Copernicus reached his theory rather by speculation than by observation; its first suggestion came from the Pythagorean doctrine of the motion of the earth. History of Modern Philosophy From Nicolas of Cusa to the Present Time For the Pythagorean notions, see citations from Plutarch in Costard, History of Astronomy, p. History of the Warfare of Science with Theology in Christendom He produced in the end a synthesis of Plato and Aristotle with an admixture of Pythagorean or Oriental mysticism, and is closely allied to the Alexandrian school of thought. The Project Gutenberg Encyclopedia Volume 1 of 28 "It is an allegory," replied the Pythagorean, "and simply means that we are innocent so long as we are young, and that when we come to maturity we are corrupted and depraved by our passions." The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One He was hot on the French social systems, and talked of going to the Backwoods to found a sort of Pythagorean community. Middlemarch The first he probably derived from his mode of life; for, being a strict Pythagorean, he never partook of animal food. Philothea A Grecian Romance A few of the larger-minded fathers of the Church, influenced possibly by Pythagorean traditions, but certainly by Aristotle and Plato, were willing to accept this view, but the majority of them took fright at once. History of the Warfare of Science with Theology in Christendom Long he dwelt in the dream of the Pythagorean harmonies. The Atlantic Monthly, Volume 05, No. 30, April, 1860 Don't call it paltry," replied the Pythagorean; "it is delicious. The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One Your scheme is a good deal more difficult to carry out than the Pythagorean community, though. Middlemarch Timaeus of Locris, who was a Pythagorean, admits that the doctrine of future punishments was fabulous, solely destined for the imbecility of the uninformed; but little calculated for those who cultivate their reason. The System of Nature, Volume 1 His conversations, usually in the parlors of some philanthropic gentlemen, were made up partly of Pythagorean speculation and partly of fine ethical rhapsody which sometimes rose to genuine eloquence. Sketches from Concord and Appledore Leave it," I replied, "with the unexplained Pythagorean symbol touching abstinence from beans. The Atlantic Monthly, Volume 01, No. 01, November, 1857 A Magazine of Literature, Art, and Politics With pleasure, captain," said the Pythagorean, "only I wish you would adopt my principles—a vegetable diet and aqua pura. The Evil Eye; Or, The Black Spector The Works of William Carleton, Volume One It is true that neither the Pythagorean nor the Egypto-Tychonic system required epicycles for explaining retrograde motion, as the Ptolemaic theory did. History of Astronomy An extensive Orphic literature first appeared at the time of the Persian war, when the remains of the Pythagorean order in Magna Graecia united themselves to the Orphic associations. Handbook of Universal Literature From the Best and Latest Authorities The metempsychosis which he taught under Orphic and Pythagorean inspiration is an essential ingredient of his theory of the world, and is, therefore, perpetually recurring in his more important works. Purgatory Listen!" broke in Julian, "I don't agree with your Pythagorean speculations about numbers. Historical Miniatures What I do like in him," said Waldershare, "is this revival of the Pythagorean system, and a leading party of silence. Endymion We are honored with one relic of antiquity, a Pythagorean. A Terrible Temptation A Story of To-Day The Pythagorean or Italic School was founded by Pythagoras, who is said to have flourished between 540 and 500 B.C. Handbook of Universal Literature From the Best and Latest Authorities Nigidius was a mystic, and devoted much of his time to Pythagorean speculations, and the celebration of various religious mysteries. The History of Roman Literature From the earliest period to the death of Marcus Aurelius By the by, I want to put you up for the Downing; you should leave that Pythagorean: there's nothing to be got by it.' The Three Clerks Yet these are the men who are taking up the thread where it was dropped, perforce, by those veritable Greek sages, whelmed under turbid floods of Pythagorean irrationalism. Old Calabria Pythagorean philosopher who asserted that he had been, before becoming a man, a girl, a boy, a shrub, a bird, and a fish. Fables of La Fontaine — a New Edition, with Notes The philosophy of Greece, antecedent to the time of Socrates, is contained in the doctrines of the Ionic, Eleatic, and Pythagorean. schools. Handbook of Universal Literature From the Best and Latest Authorities He therefore turned Pythagorean, and abstained for several years from everything but herbs. The History of Roman Literature From the earliest period to the death of Marcus Aurelius He and Norman dined together at their club in Waterloo Place, the Pythagorean, a much humbler establishment than that patronized by Scott, and one that was dignified by no politics. The Three Clerks So much for the deep philosophical meaning which we need not wonder to find in this poet, who, according to the testimony of Cicero, was a Pythagorean. Lectures on Dramatic Art and Literature In memory of the latter of these discoveries he is said to have offered a public sacrifice to the Gods; and the theorem is still known by the name of the Pythagorean theorem. Lives of the Necromancers It would be worth while to make a collection of the judgments of eminent men in their generation respecting the Copernican or Pythagorean scheme. Coleridge's Literary Remains, Volume 4. Besides these works of Apuleius, we possess some short philosophical tracts, embodying some of his Platonist and Pythagorean doctrines. The History of Roman Literature From the earliest period to the death of Marcus Aurelius One of them is apparently from the Pythagorean philosopher Metopos, in which the fitness of every bodily member is declared to be a virtue. The Essays of Arthur Schopenhauer; On Human Nature Let us sit with our hands on our mouths, a long, austere, Pythagorean lustrum. Phrases for Public Speakers and Paragraphs for Study For the mathematical disciplines were invented by the Pythagorean in order to a reminiscence of divine concerns, to which through these as images, they endeavour to ascend. Introduction to the Philosophy and Writings of Plato Are not Philo's works full of, crowded with, Platonic and Pythagorean philosophy? Coleridge's Literary Remains, Volume 4. But the belief in the pre-existence of the soul led the mystics to the adoption, with all its weird notions and superstitions, of the Pythagorean system of the transmigration of the soul.' Judaism Arignotus the Pythagorean now came in—the 'divine' Arignotus, as he is called; the philosopher of the long hair and the solemn countenance, you know, of whose wisdom we hear so much. Works of Lucian of Samosata — Volume 03 Nay, I once heard some one hazard a remark, to the effect that the philosophy of Pantomime went still further, and that in the silence of the characters a Pythagorean doctrine was shadowed forth. Works of Lucian of Samosata — Volume 02 Philolaus, therefore, the Pythagorean, has left for us in writing admirable conceptions about these principles, celebrating their common progression into beings, and their separate fabrication. Introduction to the Philosophy and Writings of Plato Two friends of this Pythagorean sect lived at Syracuse, in the end of the fourth century before the Christian era. A Book of Golden Deeds The Pythagorean teaching became the foundation of all later cosmological thinking, right up to the age which was destined to bring to birth the spectator-relationship of man's consciousness with the world. Man or Matter Sir," said the Preacher, holding out his hand, "it is seldom one meets with a blacksmith who has read the Pythagorean Philosophy —at Oxford, and I should like to see you again. The Broad Highway |
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