| 单词 | right-angled triangle |
| 例句 | Pythagoras had learned the triangle theorem—that the length of the third side of a right-angled triangle can be deduced mathematically from the length of the other two sides—from Indian or Babylonian geometers. The Gene 2016-06-02T00:00:00Z It is a variation of the basic principle that if you know one angle and one side of an equilateral or right-angled triangle, then you can determine the other angles and sides. The Invention of Science 2015-09-17T00:00:00Z 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 They fold the crisp sheet to an oblong, and the oblong to a square, and the square to a right-angled triangle. Winter’s most beautiful secret: The astonishing, complex science of snowflakes 2014-01-22T00:00:00Z Further, of trilateral figures, a right-angled triangle is that which has a right angle, an obtuse-angled triangle that which has an obtuse angle, and an acute-angled triangle that which has its three angles acute. The Teaching of Geometry 2011-10-12T02:00:52.133Z In a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Pythagoras, as we all learnt in youth, discovered the proposition that the sum of the squares on the sides of a right-angled triangle is equal to the square on the hypotenuse. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z In any right-angled triangle the square of the sides subtending the right angle is equal to the square of the sides containing the right angle. Eli's Children The Chronicles of an Unhappy Family 2011-07-08T02:00:20.557Z Pythagoras is related to have been the first who saw, in the clear light of demonstration, the property of the right-angled triangle, of which we have spoken. The Plurality of Worlds 2011-06-01T02:00:23.787Z In place of "right-angled triangle" modern writers speak of "right triangle," and so for the obtuse and acute triangles. The Teaching of Geometry 2011-10-12T02:00:52.133Z An important application of these theorems is at once made to a right-angled triangle, viz.:— Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Consider the case of a right-angled triangle whose two sides are equal, such a triangle as is formed by two sides of a square and a diagonal. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z The angle which the centre of the illumination makes with the horizon is measured, and knowing the distance of the town, the right-angled triangle may be solved. Sounding the Ocean of Air 2011-05-31T02:00:35.603Z Were there not in nature a single equilateral or right-angled triangle, or any triangle whatever, every thing that I have just considered would remain always true and indubitable. Lectures on the true, the beautiful and the good 2011-05-25T02:00:17.943Z For example, if r = 4, 4, 4 − 1, 4 + 1, or 4, 3, 5, are the sides of a right-angled triangle; if r = 7, 7, 24, 25 are the sides of a right-angled triangle. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z No tablet bears the well-known algebraic equation, that the squares of the two smaller sides of a right-angled triangle equal the square of the hypotenuse. An Exhibition That Gets to the (Square) Root of Sumerian Math 2010-11-22T22:35:00Z A hypotenuse, as has been well said, is the longest side of a right-angled triangle. Bransford of Rainbow Range Originally Published under the title of Bransford in Arcadia, or, The Little Eohippus Fold number one back toward the right, making at the fold a right-angled triangle. Hand-Loom Weaving A Manual for School and Home From Littlestown to Hanover is seven miles, the road running northeasterly, making the third side of a right-angled triangle. Personal Recollections of a Cavalryman With Custer's Michigan Cavalry Brigade in the Civil War In plan it bore a rough resemblance to a right-angled triangle, the body of which had been so twisted as to cause its apex to bear to the right. Dick Leslie's Luck A Story of Shipwreck and Adventure Then we have a right-angled triangle in which the line AC represents the course and distance sailed, and the angle at A is the angle of the course with a meridian of longitude. Lectures in Navigation The brightest star will be identified as the vertex of a right-angled triangle, of which the line from Vega to the Pole Star is the base, as shown in Fig. The Story of the Heavens That part of navigation which treats a ship's course as an angle, and the distance, difference of latitude, and easting or westing, as the sides of a right-angled triangle. 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. Salisbury prison, then commonly called "Salisbury penitentiary," was in the general form of a right-angled triangle with base of thirty or forty rods, perpendicular eighty or ninety. Lights and Shadows in Confederate Prisons A Personal Experience, 1864-5 A right-angled triangle is one in which two of the sides are at a right angle one to the other. Mechanical Drawing Self-Taught I. 47 that the square on the hypotenuse of any right-angled triangle is equal to the sum of the squares on the other two sides. 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 ‘In any right-angled triangle, the square of the side—’ Now, go on.” Quicksilver The Boy With No Skid To His Wheel A solid figure having a circle for its base, and produced by the entire revolution of a right-angled triangle about its perpendicular side, which is termed the axis of the cone. 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 glass shows two small stars forming a right-angled triangle with it. A Field Book of the Stars Figure 61 represents a right-angled triangle, A and B forming a right angle. Mechanical Drawing Self-Taught Hypothenuse.—The side, A, of a right-angled triangle which is opposite to the right angle B, C. A, regular triangle; C, irregular triangle. Carpentry for Boys In a Simple Language, Including Chapters on Drawing, Laying Out Work, Designing and Architecture With 250 Original Illustrations It is this: "In every right-angled triangle, the sum of the squares of the base and perpendicular is equal to the square of the hypothenuse." Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry I stated it to be a right-angled triangle, and indicated, as I supposed, clearly enough, a simple method by which this could be shown. Scientific American, Volume XXIV., No. 12, March 18, 1871 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures. It is in the form of a right-angled triangle; and at the right angle, upon a small dais, is placed the pianoforte and the desks, and so forth, for the performers. Chambers's Edinburgh Journal, No. 436 Volume 17, New Series, May 8, 1852 The rear wall of the compressor-house formed the north wall of the bin, the section of which was an isosceles right-angled triangle. Transactions of the American Society of Civil Engineers, vol. LXVIII, Sept. 1910 The Site of the Terminal Station. Paper No. 1157 ADB is a right-angled triangle, AD measuring 9 and BD measuring 17, because the square of 9 added to the square of 17 equals 370, the known area of the square on AB. Amusements in Mathematics Algenib in Perseus and Almaach and Algol in Andromeda form a right-angled triangle, illustrate the 47th problem, and display the Grand Master's square upon the skies. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry Shall I prove to you that the sum of the angles of a right-angled triangle is equal to two right angles? Grey Roses If I keep on I won't even be able to remember that 'the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.' Grace Harlowe's Sophomore Year at High School The Record of the Girl Chums in Work and Athletics These three pegs will form the corners of a right-angled triangle; peg No. 2 being situated at the right-angle. The Art of Travel Shifts and Contrivances Available in Wild Countries These three islands make a kind of right-angled triangle with each other, the distance between the eastermost and westermost is about eleven miles, and their relative bearings are very nearly east and west. A General History and Collection of Voyages and Travels — Volume 12 Arranged in Systematic Order: Forming a Complete History of the Origin and Progress of Navigation, Discovery, and Commerce, by Sea and Land, from the Earliest Ages to the Present Time They usually light it with mirrors made by hollowing the surface of an isosceles right-angled triangle, which conducts all the rays of light into one point. Plutarch's Lives, Volume I "The square of the hypothenuse of a right-angled triangle equals four times the area of the triangle, plus the square of the difference of the other two sides." International Weekly Miscellany - Volume 1, No. 8, August 19, 1850 The two great piers may be roughly taken as having for section an isosceles right-angled triangle, the right angle being towards the west. The Cathedral Church of Peterborough A Description Of Its Fabric And A Brief History Of The Episcopal See Then against the limb of the "T" Tom laid the base of a right-angled triangle. The Young Engineers in Colorado Or, At Railwood Building in Earnest It was an ingenious application of the well known properties of a right-angled triangle. The Boy Mechanic: Volume 1 700 Things for Boys to Do They are so afraid to do anything that isn't laid out in a right-angled triangle. The Atlantic Monthly, Volume 09, No. 55, May, 1862 The right-angled triangle still has an hypotenuse, and quadratics do not simplify with distance, while Tamil classics throw Vergil and Cicero into the shade. Lighted to Lighten: the Hope of India When Pythagoras discovered the theorem of the squares erected on the sides of a right-angled triangle, it had the effect on him of a most preposterous joke. The Atlantic Monthly, Volume 03, No. 17, March, 1859 The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, because he made it so. The Evolution of Man Scientifically Disproved In 50 Arguments The principles of it remained so foreign to me that I did not even recognise a right-angled triangle, if the right angle were uppermost. Recollections of My Childhood and Youth Q. Can a right-angled triangle, or an obtuse-angled triangle, be an equilateral? The Infant System For Developing the Intellectual and Moral Powers of all Children, from One to Seven years of Age Another simile likens it to a right-angled triangle, with the Bitter Root Range as its base. My Native Land The United States: its Wonders, its Beauties, and its People; with Descriptive Notes, Character Sketches, Folk Lore, Traditions, Legends and History, for the Amusement of the Old and the Instruction of the Young Thales, as has been said, discovered the important theorem that in a right-angled triangle the squares on the sides containing the right angle are together equal to the square on the opposite side of it. Beacon Lights of History, Volume 03 Ancient Achievements There was the right-angled triangle, its lines reproduced in unbroken brilliancy, and there were the added lines used in the familiar demonstration, broken at intervals to indicate their use. The Wolf's Long Howl Pythagoras discovered the important theorem that in a right-angled triangle the squares on the sides containing the right angle are together equal to the square on the opposite side of it. The Old Roman World, : the Grandeur and Failure of Its Civilization. Why," says the children, "you said a right-angled triangle had one right angle, and that all its angles are acute. The Infant System For Developing the Intellectual and Moral Powers of all Children, from One to Seven years of Age You hold that an equilateral triangle may, to you and all other human individuals, be a right-angled triangle if you choose to imagine it so. Mont-Saint-Michel and Chartres Their mathematicians knew the rule for finding the area of a triangle from its sides, and also the celebrated proposition concerning the squares on the sides of the right-angled triangle. Beacon Lights of History, Volume 03 Ancient Achievements There, just above the representation of the right-angled triangle, shone out, clearly and distinctly, this striking figure: What could it mean? The Wolf's Long Howl Plato derived the number from predecessors, but based it on operations with the numbers 3, 4, 5, the length of the sides of the Pythagorean right-angled triangle. The Idea of Progress An inguiry into its origin and growth You would not write your name in pencil across the hypotenuse of a right-angled triangle. A Portrait of the Artist as a Young Man Now this angle AMC, being known, the right-angled triangle MAC is easily resolved, since the side AC of that triangle, being the radius of the earth, is a known dimension. A History of Science — Volume 2 As he first solved the problem of inscribing a right-angled triangle in a circle, he is the founder of geometrical science in Greece. Beacon Lights of History, Volume 03 Ancient Achievements The most famous discovery of Pythagoras in this field was that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other sides of the triangle. A History of Science — Volume 1 The lamp had a tilted shade that threw a slanting bar of shadow across the field of reflection, lighting a right-angled triangle very brightly and leaving the rest obscure. Soul of a Bishop The profile of these cribs was that of a right-angled triangle, the slanting side up stream. The Riverman |
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