英语词汇“equilateral triangle”造句的方法、技巧、例句及翻译-英语例句辞典

Some pointed straight and high like an equilateral triangle and others were angled like a sail in the wind. The Line Tender 2019-04-16T00:00:00Z

That’s when an equilateral triangle becomes an isosceles, often with one person isolated at the farthest point. Perspective | Ask Amy: Friendship for three leads to awkward triangle 2020-07-10T04:00:00Z

“When a soaring bird meets a triangle, they become a fly-angle,” one example reads, illustrated by a red bird from above, flying through the sky as an equilateral triangle. Board Books That Let Toddlers Join the Action 2019-01-04T05:00:00Z

Take a slice, fold it directly in half, then in half again to make a rough equilateral triangle with one rounded edge. How to make charcuterie actually look cute on a cheese board 2021-12-07T05:00:00Z

These related tilings are made of shapes called polyiamonds, simple tiles formed by combining equilateral triangles. Newfound Mathematical ‘Einstein’ Shape Creates a Never-Repeating Pattern 2023-04-10T04:00:00Z

For n = 0, T0 is the area of the original equilateral triangle. Calculus, Vol 2 2016-03-30T00:00:00Z

An icosahedron is a Platonic solid with a surface that consists of 20 equilateral triangles. Calculus, Volume 1 2016-03-30T00:00:00Z

Angle has measure At point we draw an angle with measure of We know the angles in a triangle sum to so the measure of angle is also Now we have an equilateral triangle. Algebra and Trigonometry 2015-02-13T00:00:00Z

“You would be able to hear a square one. It would sound special. And the same thing for triangle drums: an equilateral triangle drum would sound special, not like any of the others.” Mathematicians Are Trying to ‘Hear’ Shapes 2022-06-28T04:00:00Z

His idealized male figure features legs spread wide to form an equilateral triangle. In 1997 Jim Isermann slipcovered a Minimalist cube. The rest is queer art history 2021-11-12T05:00:00Z

Let F0 be an equilateral triangle with sides of length 1. Calculus, Vol 2 2016-03-30T00:00:00Z

It is just as easy to do so using equilateral triangles or hexagons. For Math Fans: Some Puzzles from Game of Life Creator John Conway 2021-04-28T04:00:00Z

The following evening, Jan. 10 — just after sunset — Jupiter, Saturn and Mercury form the shape of an equilateral triangle along the southwest horizon. Skywatch: What’s happening in the heavens in January 2020-12-26T05:00:00Z

When mapped onto the animal’s position, the activity patterns of these “grid cells” resembled highly regular, equilateral triangles. In Search of the Brain’s Social Road Maps 2020-01-14T05:00:00Z

Three of these domes are arranged in an equilateral triangle, 60 metres away from each other. Mystery sounds from storms could help predict tornadoes 2019-11-25T05:00:00Z

Starting with an equilateral triangle, at each step of the process the middle third of each line segment is removed and replaced with an equilateral triangle pointing outward. Calculus, Vol 2 2016-03-30T00:00:00Z

The concept for the Einstein Telescope in Europe calls for a detector with 10-kilometre arms arranged in an equilateral triangle and placed in tunnels 100 metres or so underground. How gravitational waves could solve some of the Universe’s deepest mysteries 2018-04-10T04:00:00Z

Here, the faces are still regular polygons—equilateral triangles, squares, regular pentagons, and so on—but they will mix two or more shapes together. A Few of My Favorite Spaces: The Pseudo-Rhombicuboctahedron 2018-03-31T04:00:00Z

One helpful design tip is to create an equilateral triangle between the sink, refrigerator and stove — it creates an easy flow of activity. Pro tips for choosing new cabinets for your kitchen | Produced by Advertising Publications 2018-03-01T05:00:00Z

The tetrahedron, octahedron, and icosahedron are made of four, eight, and twenty, respectively, equilateral triangles, the cube of six squares, and the dodecahedron of twelve regular pentagons. Justin Curry's Favorite Theorem 2017-12-09T05:00:00Z

For n ≥ 1, let Fn be the curve created by removing the middle third of each side of Fn − 1 and replacing it with an equilateral triangle pointing outward. Calculus, Vol 2 2016-03-30T00:00:00Z

In the top row of the tablet, said Wildberger, relatively equal ratios create a near equilateral triangle. Ancient Tablet May Show Earliest Use of This Advanced Math 2017-08-24T04:00:00Z

It is a relative of the rhombicuboctahedron, which is an Archimedean solid that also has 24 vertices with three squares and one equilateral triangle around each vertex. A Few of My Favorite Spaces: The Pseudo-Rhombicuboctahedron 2018-03-31T04:00:00Z

These objects sit near Lagrange points, which form an equilateral triangle with the Sun and Jupiter. Planetary science: Reckless orbiting in the Solar System : Nature : Nature Research 2017-03-28T04:00:00Z

Soon after sunset on August 11, turn your attention to the gibbous moon forming an eye-catching, equilateral triangle pattern with the brilliant planets Mars and Saturn. This Week’s Night Sky: See an Asteroid Pass and Meteors Peak 2016-08-08T04:00:00Z

With a planned launch date of 2034, eLISA would send three different spacecraft into orbit around the Sun, where they would form an equilateral triangle. How scientists will keep searching for gravitational waves 2016-02-13T05:00:00Z

Here's how star-hopping works: Start with visualizing an equilateral triangle with one side marked by Hamal in Aries and Algenib, the lower left star of the square of the constellation Pegasus. How to See Uranus, Mercury, Jupiter and Mars 2015-10-15T04:00:00Z

In hyperbolic space, on the other hand, some equilateral triangles fit seven around a point, some eight, some 50, and some even infinitely many around each vertex. Everything Looks Better in the Hyperbolic Plane 2015-08-21T04:00:00Z

Resembling a small equilateral triangle hitched to a parallelogram, Lyra is one of the smaller but more easily recognized classical constellations, visible all summer long. This Week's Night Sky: Ghostly Stellar Ring Revealed 2015-07-13T04:00:00Z

The ideal campfire is shaped like an equilateral triangle. 10 things we didn't know last week - BBC News 2015-06-12T04:00:00Z

You could try an isosceles, scalene or equilateral triangle offense. A Zen Question: Why Watch the Knicks? 2014-12-17T05:00:00Z

Perplexing Polyhedron Can you picture a solid pyramid consisting of a square base and four equilateral triangles, alongside a solid tetrahedron with four faces identical to those of the pyramid's triangles? Test Yourself 2014-10-08T04:00:00Z

As noted by several readers, a clock with three equal-length hands won’t ever generate a perfect equilateral triangle with its fingertips, but 2:54:32 creates a triangle that’s very close. Wordplay Blog: Numberplay: Frog in Well 2012-05-28T16:00:00Z

Thus the common equilateral triangle is in some cases used to symbolise the Holy Trinity; so are the two entwined triangles. Principles of Decorative Design Fourth Edition 2012-05-22T15:16:52.423Z

The "Harlech," the U93 and the boat in which was Captain Crouch, stood to one another in the relation of the corners of an equilateral triangle. Submarine U93 2012-04-07T02:00:34.693Z

She had taken her position to windward, and so as to form with the two vessels nearly an equilateral triangle, and in this masterly position flung her heavy metal against both alike. The Second War with England, Vol. 2 of 2 2012-04-05T02:00:38.213Z

The light is of the revolving kind, consisting of fifteen Argand lamps and reflectors, five in each side of an equilateral triangle, and so placed as to produce a continuous light, but with periodical flashes. The Sea: Its Stirring Story of Adventure, Peril, & Heroism. Volume 2 2012-04-03T02:00:36.237Z

When they were placed at a considerable distance, or when they were attached to the corners of an equilateral triangle of copper wire, they glowed in about the order determined by their surfaces. The inventions, researches and writings of Nikola Tesla With special reference to his work in polyphase currents and high potential lighting 2012-03-28T02:00:22.660Z

Each of these small planets “moves approximately in a vertex of an equilateral triangle that it forms with Jupiter and the sun.” Astronomical Curiosities Facts and Fallacies 2012-03-27T02:00:18Z

And we have a true equilateral triangle produced by a very ingenious system of chuckings, each of which may be known to be true. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z

The first proposition, “To erect an equilateral triangle upon a given finite straight line,” indicates the problem solved by Christianity, when it erected the Trinity on the basis of the man we call Jesus. Satires And Profanities 2012-03-14T02:00:24.637Z

This is bounded by four equilateral triangles and is identical with the regular tetrahedron of geometry. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7 "Crocoite" to "Cuba" 2012-01-22T03:00:24.397Z

This decoration consists of a small circle, within which are inscribed two equilateral triangles placed one upon the other, so as to form a six-pointed star. The History of the Knights Templars, the Temple Church, and the Temple 2012-01-18T03:00:11.003Z

It was an equilateral triangle about two and a half inches on edge, cut from a slab of meerschaum a little over an inch thick. The Unpopular Review, Number 19 July-December 1918 2012-01-09T03:00:24.167Z

Sketches A and B show you how an equilateral triangle may be divided. Text Books of Art Education, Book IV (of 7) 2011-11-29T03:00:14.593Z

Its base was just under six feet square, and a cross-section perpendicular to its length was an equilateral triangle, the sides of which were six feet long. The Ascent of the Matterhorn 2011-11-19T03:00:23.233Z

Thus, to trisect an angle of 90° we need only to construct an angle of 60°, and this can be done by constructing an equilateral triangle. The Teaching of Geometry 2011-10-12T02:00:52.133Z

The next kind of propositions we have to consider are general propositions, such as “all men are mortal,” “all equilateral triangles are equiangular.” Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z

As another illustration we may take the conformal representation of an equilateral triangle upon a half plane. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z

With the help of your circle maker or compass you can easily draw an equilateral triangle. Text Books of Art Education, Book IV (of 7) 2011-11-29T03:00:14.593Z

Together, the three tunnels would form an equilateral triangle. What Do You Mean, the Universe Is Flat? Part II: In Which We Actually Answer the Question 2011-08-01T11:45:06.053Z

From the study of the rectilinear figures suggested by such a simple pattern the properties of the equilateral triangle may be inferred. The Teaching of Geometry 2011-10-12T02:00:52.133Z

The three, Denebola, Spica, and Arcturus, mark the corners of a great equilateral triangle. Astronomy with an Opera-glass A Popular Introduction to the Study of the Starry Heavens with the Simplest of Optical Instruments 2011-07-17T02:00:30.177Z

Are equilateral triangles all similar, that is, of the same shape? Guide to the Kindergarten and Intermediate Class and Moral Culture of Infancy. 2011-06-30T02:00:25.950Z

For a surface covering like Sketch D, construct one equilateral triangle and carry the base line across the paper. Text Books of Art Education, Book IV (of 7) 2011-11-29T03:00:14.593Z

There are six small stars of the third magnitude in the constellation round its chief one—three of its stars forming an equilateral triangle. Astronomical Myths Based on Flammarions's History of the Heavens 2011-06-24T02:00:15.873Z

The trefoil is closely connected with hexagonal designs, since the regular hexagon is formed from the inscribed equilateral triangle by doubling the number of sides. The Teaching of Geometry 2011-10-12T02:00:52.133Z

His legs, which now formed two sides of an equilateral triangle with the floor for its base, were encased in startling checks, and his feet, which were small, in the glossiest patent leather. At Large 2011-03-27T02:00:14.907Z

An equilateral triangle yields not to a square in regularity nor in uniformity of parts, and it is more simple. Beauty Illustrated Chiefly by an Analysis and Classificatin of Beauty in Woman 2011-02-28T03:00:32.460Z

The Greeks told us that this temple, that at Ægina, and the Parthenon, are placed exactly at the angles of a great equilateral triangle, with each side about twenty-five or thirty miles long. Rambles and Studies in Greece 2011-02-18T03:00:16.480Z

Ahead lay another smaller clearing, with three trees in the centre, growing to form an almost perfect equilateral triangle. Menotah A Tale of the Riel Rebellion 2011-02-14T03:00:35.553Z

Thus Euclid begins Book I by a problem, to construct an equilateral triangle on a given line. The Teaching of Geometry 2011-10-12T02:00:52.133Z

The only discovery worthy of note consisted of a crude diagram in pencil, on the white wall-paper behind a chest of drawers: three lines intersecting to form a large equilateral triangle. The Golden Triangle The Return of Ars?ne Lupin 2011-01-01T03:00:23.890Z

For the packing problem, researchers are looking at so-called regular tetrahedrons, where each side is an identical equilateral triangle. 2010-01-05T21:56:00Z

"The seal of Suleymán" is a name given by the Arabs to a six-pointed star formed by two equilateral triangles intersecting each other, and to the flower which we, also, call "Solomon's seal." The Thousand and One Nights, Vol. I. Commonly Called the Arabian Nights' Entertainments

Subsequently the projecting edges were dressed down, so that the section through the dome is nearly that of an equilateral triangle. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 4 "Aram, Eugene" to "Arcueil"

If the side of one equilateral triangle is three times as long as that of another, how do the perimeters compare? how do the areas compare? The Teaching of Geometry 2011-10-12T02:00:52.133Z

Arches at first inclosing an equilateral triangle, afterwards obtusely pointed and struck from four centres. Architecture Gothic and Renaissance

In shape roughly resembling an equilateral triangle, with base uppermost, Bosnia and Herzegovina cover an area of 19,696 sq. m., in the north-west of the Balkan Peninsula. Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 3 "Borgia, Lucrezia" to "Bradford, John"

They are arranged with their centres forming equilateral triangles, and are spaced so that they can be cleaned externally both from the front of the boiler and also cross-ways in two directions. Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 2 "Bohemia" to "Borgia, Francis"

The Gothic architects appear to have been guided in their designs by proportions based on the equilateral triangle. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 4 "Aram, Eugene" to "Arcueil"

As far as could be discovered, the villages were five in number, all on the right bank of the river, and occupying a position which could be roughly outlined as an equilateral triangle. The Unveiling of Lhasa

"Are you aware, Mr. Gascoigne, of the properties of an equilateral triangle?" International Short Stories English

Tell the company they are to remove three matches; then add two and make two more equilateral triangles. More Conjuring Simple Tricks for Social Gatherings

Thus, the defining property of an equilateral triangle is the equality of the sides: the equality of the angles is a proprium. Logic, Inductive and Deductive

A rug pattern from a square A rug pattern from an equilateral triangle Fundamental form No. 2 The second fundamental form is made from a six-fold equilateral triangle. Hand-Loom Weaving A Manual for School and Home

The shape of the lateral lobe varies from rounded oblong to an equilateral triangle; as it approaches this latter form, it becomes much wider than the upper or lower lobes. A Monograph on the Sub-class Cirripedia With Figures of all the Species.

In the meantime Gascoigne had been measuring an equilateral triangle of twelve paces, and marked it out. International Short Stories English

The light is of the revolving kind, consisting of fifteen Argand lamps and reflectors, five in each side of an equilateral triangle, and so placed as to constitute a continuous light, but with periodical flashes. Smeaton and Lighthouses A Popular Biography, with an Historical Introduction and Sequel

Thus the common equilateral triangle was used to symbolize the Holy Trinity, as are the two entwined triangles. Our Homeland Churches and How to Study Them

The equilateral triangle of theology must be turned into a square, with Old Nick for the fourth side. Arrows of Freethought

The equilateral triangle, which is the simplest geometrical figure which can enclose a space, thus satisfying the mind the easiest of any, is nigh universal in symbolism. The Religious Sentiment Its Source and Aim: A Contribution to the Science and Philosophy of Religion

The teeth are shaped like equilateral triangles and square shanks are used, exactly as with the Antikythera machine. On the Origin of Clockwork, Perpetual Motion Devices, and the Compass

The first figures to be arranged in the frame will be, for example, the circle and the equilateral triangle, or the circle, the triangle and the square. Dr. Montessori's Own Handbook

The Lateen sail is made in the form of an equilateral triangle, and two sides are fastened to spars which are connected at one end by a hinge or jaw. Boy Scouts Handbook The First Edition, 1911

It happened that the Lancashire Queen, the shore at Turner's Shipyard, and the Solano Wharf were the corners of a big equilateral triangle. Tales of the Fish Patrol

I am making what is called an equilateral triangle; that is, a triangle with equal sides and equal angles. The Young Surveyor; or Jack on the Prairies

It is a plain equilateral triangle in red outline, measuring about an inch on each side. The Red Triangle Being Some Further Chronicles of Martin Hewitt, Investigator

Equilateral triangle system refers to the planting of the trees in equilateral triangles, but is identical with the hexagonal or septuple. The Pecan and its Culture

The simplest, perhaps, is by the equilateral triangle. Boy Scouts Handbook The First Edition, 1911

Amsterdam is a semicircle, the Hague is a square, Rotterdam an equilateral triangle. Holland, v. 1 (of 2)

The town was built in an almost equilateral triangle, with one angle pointed squarely up the Conemaugh Valley to the east, from which the flood came. The Johnstown Horror!!! or, Valley of Death, being A Complete and Thrilling Account of the Awful Floods and Their Appalling Ruin

To the right of this line, nearly half-way down, is the rather vague constellation of Aquarius, where a small equilateral triangle with a star in the centre may be noticed. The Story of the Heavens

Then, searching with the delicate tip of her forefinger in the empty case, she suddenly pressed the bottom hard,—thumb, middle finger and little finger forming the three apexes of an equilateral triangle. The Flaming Jewel

His second, to the side of any inscribed equilateral triangle to a circle of radius 1. A Budget of Paradoxes, Volume II

One love-sick swain described an equilateral triangle with a † rising from the vertex, and then inscribed the initials of his fiancée and also his own. Bell's Cathedrals: The Cathedral Church of Gloucester [2nd ed.] A Description of Its Fabric and A Brief History of the Espicopal See

Even in the first proposition of all, where he constructs an equilateral triangle on a given base, he uses two circles which are assumed to intersect. Mysticism and Logic and Other Essays

Sir William has adopted the old plan of glass tesseræ or cubes, and of four shapes—the cube, double cube, equilateral triangle, and a longer form with sharp points. Bell's Cathedrals: The Cathedral Church of Saint Paul An Account of the Old and New Buildings with a Short Historical Sketch

These are the equilateral triangle, the square and the regular hexagon. Langstroth on the Hive and the Honey-Bee A Bee Keeper's Manual

He did not pretend to more than approximation; but Montucla and others misunderstood him, and, still worse, misunderstood their own misunderstanding, and made him say the circle was exactly double of the equilateral triangle. A Budget of Paradoxes, Volume II

Then, searching with the delicate tip of her forefinger in the empty case, she suddenly pressed the bottom hard, — thumb, middle finger and little finger forming the three apexes of an equilateral triangle. The Flaming Jewel

Two more connected the reactor labs themselves, putting the labs and the living quarters at the corners of an equilateral triangle. The Bramble Bush

This mountain, with Mount Olympus, and another further to the south, named by the same navigator Mount Rainier, form nearly an equilateral triangle, and tower over the rest, the giant wardens of the land. Handbook to the new Gold-fields

An equilateral triangle would have made an uncomfortable tenement for an insect with a round body; and a square would not have been much better. Langstroth on the Hive and the Honey-Bee A Bee Keeper's Manual

But God's equilateral triangle of body, soul, and spirit must never be ignored. Christianity and Progress

“Are you aware, Mr Gascoigne, of the properties of an equilateral triangle?” Mr. Midshipman Easy

Then you must describe an equilateral triangle—I mean a scientific religion, on the straight line, F R—between Faith and Reason.' 'That Very Mab'

The three canoes were paddled to positions about a third of a mile apart, like as at the points of an equilateral triangle. Three Boys in the Wild North Land

In the Alphabet the first line of characters, the equilateral triangle in four positions, reads as follows, ä e oo ah. By Canoe and Dog-Train

These angles are the fundamental ones of the pentagon square, and equilateral triangle—respectively 108°, 90°, and 60°. The Continental Monthly , Vol. 2 No. 5, November 1862 Devoted to Literature and National Policy

In setting trees after the hexagonal plan an equilateral triangle made of light poles or wire is probably best, especially on small rough areas, as it is very accurate, simple, and quite rapid. Apple Growing

Who gave you leave to talk of a scientific religion as an equilateral triangle? 'That Very Mab'

Procyon is equidistant from Betelgeuze in Orion, and Sirius in Canis Major, and forms with them an equilateral triangle. A Field Book of the Stars

These took up positions at equidistant points, lines connecting which would have formed an equilateral triangle, the little cluster of huts surrounded by the sleeping Makalakas being in the centre. Kafir Stories Seven Short Stories

The drawings of the plans may be distinguished from each other by this difference, that theatres designed from squares are meant to be used by Greeks, while Roman theatres are designed from equilateral triangles. The Ten Books on Architecture

It makes all adjacent trees equally distant from each other and is really a system of equilateral triangles. Apple Growing

Its original height was 480 feet, each side being an equilateral triangle. The Theory and Practice of Perspective

It is distinguished by its forming an equilateral triangle with α and γ, stars of the same magnitude 6° south and east of it. A Field Book of the Stars

You know the old story of the boy who bothered his brains with Euclid, until he came to dream regularly that he was an equilateral triangle enclosed in a circle. A Final Reckoning A Tale of Bush Life in Australia

Above the tail of the Lesser Bear are the feet of Cepheus, and at this point, at the very top, are stars forming an equilateral triangle. The Ten Books on Architecture

First of all you must figure to yourself a terrain shaped like a triangle—almost an equilateral triangle—with its base resting on the sea. The Mayor of Troy

Square containing an equilateral triangle a symbol of the Divine and Human, 858-m. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry

The six bright stars in Lyra form an equilateral triangle on one corner of a rhomboid. A Field Book of the Stars

The Arabs understand by Solomon's Seal the figure of a six-pointed star, formed by two equilateral triangles intersecting each other, as frequently mentioned in Oriental tales. Herbal Simples Approved for Modern Uses of Cure

His rays diverge through the firmament in straight lines as though forming an equilateral triangle, that is, to the fifth sign from the sun, no more, no less. The Ten Books on Architecture

But for the north-eastern side of the country, which is indented by deep and wide inlets, its shape might be roughly described as that of an equilateral triangle. The Story of Newfoundland

One of the most mysterious pantacles of the Kabalah, contained in the Enchiridion of Leo III., represents an equilateral triangle reversed, inscribed in a double circle. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry

It is about 35° east of Denebola, in Leo, and nearly as far north of Spica, in Virgo, and forms with these two a large equilateral triangle. A Field Book of the Stars

To know adequately the equilateral triangle, for instance, the pupil must know both the features which distinguish it from other triangles and also those in which it agrees with all triangles. Ontario Normal School Manuals: Science of Education

Thus all equilateral triangles are equiangular triangles; but in one case they are named from the equality of their angles, and in the other from the equality of their sides. Logic Deductive and Inductive

Their bases were four-cornered, their external surfaces equilateral triangles, pointing to the four cardinal points. The Mysteries of Free Masonry Containing All the Degrees of the Order Conferred in a Master's Lodge

The equilateral triangle was one of their symbols; and so was the mystical Y; both alluding to the Triune God, and the latter being the ineffable name of the Deity. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry

It makes with Sirius, in Canis Major, and Naos, in the Ship, a large equilateral triangle. A Field Book of the Stars

The shape of the circumvallation, when it is fully illuminated, approximates very closely to that of an equilateral triangle with curved sides. The Moon A Full Description and Map of its Principal Physical Features

Grant also that there is a similar sequence between yourself and B. Now, imagine yourself and A and B at the corners of an equilateral triangle set down to talk to each other. Certain Personal Matters

Description of the Carpet representing the Camp.—On the carpet is drawn an "enneagen," in which is inscribed a pentagon; within this is an equilateral triangle, and in the triangle a circle. The Mysteries of Free Masonry Containing All the Degrees of the Order Conferred in a Master's Lodge

In Grave they set the plants in quincunx, i.e. in equilateral triangles of three and a half pieds every side; and they stick a pole of six or eight feet high to every vine, separately. Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson, Volume 2

Betelgeuze, in Orion, Procyon, in Canis Minor, and Sirius form a nearly equilateral triangle. A Field Book of the Stars

The star is easily identified, since it lies to the left of Vega, forming with ζ a small equilateral triangle. Half-hours with the Telescope Being a Popular Guide to the Use of the Telescope as a Means of Amusement and Instruction.

Cut a Greek cross into six pieces that will form an equilateral triangle. Amusements in Mathematics

Tricks with Matches Six matches are given to an individual and he is requested to make with them four equilateral triangles. School, Church, and Home Games

The pumps are placed in an equilateral triangle, each side of which is of about thirty-five feet. Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson, Volume 2

In attempting this, he finds it needful to draw four equilateral triangles arranged in special positions. Essays on Education and Kindred Subjects Everyman's Library

Let us next turn to the third star of the equilateral triangle mentioned above—viz. to the star ζ Lyræ. Half-hours with the Telescope Being a Popular Guide to the Use of the Telescope as a Means of Amusement and Instruction.

The goat is placed in a half-acre meadow, that is in shape an equilateral triangle. Amusements in Mathematics

The Trick—Three matches are laid upon the table, forming an equilateral triangle. School, Church, and Home Games

It may be hollowed out at the bridge instead of arched; again, it may be nearly an equilateral triangle in outline, as in the Veddahs, and the nostrils may open somewhat forward instead of downward. The Doctrine of Evolution Its Basis and Its Scope

Some writers assert that the pointed arch based on an equilateral triangle existed in Egypt, Syria, and Persia; others regard it as descended from Saracen and Arab art; nothing certainly is provable. The Cathedral

When they were placed at a considerable distance, or when they were attached to the corners of an equilateral triangle of copper wire, they glowed about in the order determined by their surfaces. Experiments with Alternate Currents of High Potential and High Frequency

I will just explain that the octahedron is one of the five regular, or Platonic, bodies, and is contained under eight equal and equilateral triangles. Amusements in Mathematics

Near the middle region of the plate an equilateral triangle will be marked, each side of which will be three and one-half calibers long. Scientific American Supplement, No. 803, May 23, 1891

The design of the tracery in the rose window is in two orders, based upon equilateral triangles filled in with cusps. Bell's Cathedrals: The Cathedral Church of Chichester (1901) A Short History & Description Of Its Fabric With An Account Of The Diocese And See

I will not contradict you; but what is really attractive is the scheme of ideas expressed by the figures in the hollow mouldings of the arch of this portal, based on an equilateral triangle. The Cathedral

That point, our present camp and Meadow Ponds, where I intended to strike again into our former track, formed an equilateral triangle, the length of each side being about twenty-two miles. Three Expeditions into the Interior of Eastern Australia, Volume 1

It is bounded by twenty similar equilateral triangles. Amusements in Mathematics

The equilateral triangle used in conjunction with the circle and the square was employed by the Romans in determining the proportions of triumphal arches, basilicas and baths. The Beautiful Necessity Seven Essays on Theosophy and Architecture

Pentagram, a symbol presumed to possess a magical influence, particularly to charm away evil spirits, formed by placing the figure of an equilateral triangle athwart another. The Nuttall Encyclopædia Being a Concise and Comprehensive Dictionary of General Knowledge

This cottage was as remote from Dymock's Tower in one way, as Shanty's shed was in another; although the three dwellings formed together a sort of equilateral triangle. Shanty the Blacksmith; a Tale of Other Times

But the most convincing evidence to those who know the master lies in the composition, which forms an almost equilateral triangle, revealing Giorgione's supreme sense of beauty in line. Giorgione

Now, all the numbers in the second row are triangular numbers, which means that these numbers of cannon balls may be laid out on the ground so as to form equilateral triangles. Amusements in Mathematics

The question naturally arises, why the circle, the equilateral triangle and the square? The Beautiful Necessity Seven Essays on Theosophy and Architecture

Walker and Robbins islands, which lie together in the shape of an equilateral triangle, with sides of nine miles, front the coast about midway, and leave only a narrow boat-channel between them and the main. Discoveries in Australia, Volume 1. With an Account of the Coasts and Rivers Explored and Surveyed During The Voyage of H.M.S. Beagle, in the Years 1837-38-39-40-41-42-43. By Command of the Lords Commissioners of the Admiralty. Also a Narrative Of Captain Owen Stanley's Visits to the Islands in the Arafura Sea.

These are the letter G, the equilateral triangle, and the All-Seeing Eye. The Symbolism of Freemasonry

Amsterdam is a semicircle, the Hague square, Rotterdam an equilateral triangle. Seeing Europe with Famous Authors, Volume 4 France and the Netherlands, Part 2

I have shown elsewhere, as stated, how to make a square and equilateral triangle of equal area. Amusements in Mathematics

An ancient and notable example occurs in the pyramids of Egypt, the sides of which, in their original condition, are believed to have been equilateral triangles. The Beautiful Necessity Seven Essays on Theosophy and Architecture

These vessels are quite simple in construction, the base consisting of an equilateral triangle made of beams and provided at the corners with runners. Scientific American Supplement, No. 481, March 21, 1885

The equilateral triangle appears to have been adopted by nearly all the nations of antiquity as a symbol of the Deity. The Symbolism of Freemasonry

Three small moons were arranged at the upper left, set at the points of an equilateral triangle. The Runaway Asteroid

Then it will be seen that as 3 contains five equal equilateral triangles and 4 contains fifteen similar triangles, one figure is three times as large as the other, and exactly eighteen matches are used. Amusements in Mathematics

By far the most important figure in architectural proportion, considered from the standpoint of geometry, is the equilateral triangle. The Beautiful Necessity Seven Essays on Theosophy and Architecture

The three principal points, to which the supporting threads were attached, formed here as they usually do, an equilateral triangle. The Mirror of Literature, Amusement, and Instruction Volume 14, No. 384, August 8, 1829

It happened that the Lancashire Queen, the shore at Turner’s Shipyard, and the Solano Wharf were the corners of a big equilateral triangle. Tales of the Fish Patrol

In the first course, there was a shoulder of mutton cut into an equilateral triangle, a piece of beef into a rhomboides, and a pudding into a cycloid. Gulliver's Travels

These fit together and form a perfect equilateral triangle, as shown in the second diagram. Amusements in Mathematics

These wires are led to bollards which form in plan an equilateral triangle. British Airships, Past, Present, and Future

For example, the "fashionable world" is far from being an integral quantity, or capable of being reasoned upon as if it were as definite in its relations and proportions as an equilateral triangle. Blackwood's Edinburgh Magazine — Volume 53, No. 327, January, 1843

The side of a regular heptagon is equal to half the side of an equilateral triangle inscribed in the same circle. Scientific American, Volume 17, No. 26 December 28, 1867 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures.

"Even the cross of the church is deduced from the figure by which Euclid constructed the equilateral triangle," The columns present the proportions of the Doric, as to diameter and height. Beacon Lights of History, Volume 05 The Middle Ages

Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC. Amusements in Mathematics

The railways made a nearly equilateral triangle of the country between Cleveland, Chattanooga, and Dalton. Military Reminiscences of the Civil War, Volume 2 November 1863-June 1865

The island, which is an equilateral triangle, about 300 miles in “circuit,” can only be crossed here. The Hawaiian Archipelago

"Are you aware, Mr Gascoigne, of the properties of an equilateral triangle?" Mr. Midshipman Easy

For instance, in the particular case of equilateral triangles it is true to say, not only that 'all equilateral triangles are equiangular,' but also that 'all equiangular triangles are equilateral.' Deductive Logic

He has simply cut out of paper an equilateral triangle—that is, a triangle with all its three sides of the same length. Amusements in Mathematics

This Mercurian city contained none but perfect equilateral triangles, and the streets themselves were of absolutely uniform width. The Lord of Death and the Queen of Life

Thus the idea of an equilateral triangle of an inch perpendicular may serve us in talking of a figure, of a rectilinear figure, of a regular figure, of a triangle, and of an equilateral triangle. A Treatise of Human Nature

The Hindus I believe to have been the first who symbolised by an equilateral triangle their peculiar cult, the Yoni-Linga: in their temple architecture, it became either a conoid or a perfect pyramid. Personal Narrative of a Pilgrimage to Al-Madinah & Meccah — Volume 1

In the first instance the definition is less extensive than the term defined, since it applies only to equilateral triangles. Deductive Logic

He proposes that it shall be cut into five pieces in such a way that they will fit together and form either two or three smaller equilateral triangles, using all the material in each case. Amusements in Mathematics

"That is, two pyramids, set base to base? making eight plane surfaces, each a perfect equilateral triangle?" Mont-Saint-Michel and Chartres

These are the equilateral triangle, the square, and the regular hexagon. The Life of the Bee

On drawing near the battling line of breakers which marked the meeting of sea and land they could perceive within the nearly invisible horizon an equilateral triangle of lights. The Hand of Ethelberta

For example, if all the equilateral triangles are all the equiangular, we know at once that all non-equilateral triangles are also non-equiangular. Deductive Logic

The old man's route being along one side of an equilateral triangle, while Jim's was along two sides of the same, the former was at the point of intersection long before Hayward. The Romantic Adventures of a Milkmaid

"They are most certainly one—a single concept of the only possible equilateral triangle measuring one metre on each face." Mont-Saint-Michel and Chartres

Three place themselves at the corner of an equilateral triangle, four at those of a square, and five form a pentagon. Darwin and Modern Science

If the courts is to be chalked out in white, I can draw a line so straight that you could hardly keep yourself from erecting an equilateral triangle on it. An Unsocial Socialist

The real elements are two triangles, the rectangular isosceles which has but one form, and the most beautiful of the many forms of scalene, which is half of an equilateral triangle. Timaeus

"Even the cross of the church is deduced from the figure by which Euclid constructed the equilateral triangle." Beacon Lights of History

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

These are as follows:— The Tetrahedron, having four equilateral triangles as faces. Bygone Beliefs: being a series of excursions in the byways of thought

The equilateral triangle we call humanity exists, therefore, entire, identical, in you and me, as a subdivision of the infinite line, space, energy, or substance, which is God. Mont-Saint-Michel and Chartres

The second solid is composed of the same triangles, which unite as eight equilateral triangles, and make one solid angle out of four plane angles—six of these angles form a regular octahedron. Timaeus

Philosophy required three units to start from; it posed the equilateral triangle, not the straight line, as the foundation of its deometry. Mont-Saint-Michel and Chartres

"An equilateral triangle, the sides of which measure one metre each." Mont-Saint-Michel and Chartres

The Octahedron, having eight equilateral triangles as faces. Bygone Beliefs: being a series of excursions in the byways of thought

And the third body is made up of 120 triangular elements, forming twelve solid angles, each of them included in five plane equilateral triangles, having altogether twenty bases, each of which is an equilateral triangle. Timaeus

单词	equilateral triangle
例句	equilateral triangle Some pointed straight and high like an equilateral triangle and others were angled like a sail in the wind. The Line Tender 2019-04-16T00:00:00Z That’s when an equilateral triangle becomes an isosceles, often with one person isolated at the farthest point. Perspective \| Ask Amy: Friendship for three leads to awkward triangle 2020-07-10T04:00:00Z “When a soaring bird meets a triangle, they become a fly-angle,” one example reads, illustrated by a red bird from above, flying through the sky as an equilateral triangle. Board Books That Let Toddlers Join the Action 2019-01-04T05:00:00Z Take a slice, fold it directly in half, then in half again to make a rough equilateral triangle with one rounded edge. How to make charcuterie actually look cute on a cheese board 2021-12-07T05:00:00Z These related tilings are made of shapes called polyiamonds, simple tiles formed by combining equilateral triangles. Newfound Mathematical ‘Einstein’ Shape Creates a Never-Repeating Pattern 2023-04-10T04:00:00Z For n = 0, T0 is the area of the original equilateral triangle. Calculus, Vol 2 2016-03-30T00:00:00Z An icosahedron is a Platonic solid with a surface that consists of 20 equilateral triangles. Calculus, Volume 1 2016-03-30T00:00:00Z Angle has measure At point we draw an angle with measure of We know the angles in a triangle sum to so the measure of angle is also Now we have an equilateral triangle. Algebra and Trigonometry 2015-02-13T00:00:00Z “You would be able to hear a square one. It would sound special. And the same thing for triangle drums: an equilateral triangle drum would sound special, not like any of the others.” Mathematicians Are Trying to ‘Hear’ Shapes 2022-06-28T04:00:00Z His idealized male figure features legs spread wide to form an equilateral triangle. In 1997 Jim Isermann slipcovered a Minimalist cube. The rest is queer art history 2021-11-12T05:00:00Z Let F0 be an equilateral triangle with sides of length 1. Calculus, Vol 2 2016-03-30T00:00:00Z It is just as easy to do so using equilateral triangles or hexagons. For Math Fans: Some Puzzles from Game of Life Creator John Conway 2021-04-28T04:00:00Z The following evening, Jan. 10 — just after sunset — Jupiter, Saturn and Mercury form the shape of an equilateral triangle along the southwest horizon. Skywatch: What’s happening in the heavens in January 2020-12-26T05:00:00Z When mapped onto the animal’s position, the activity patterns of these “grid cells” resembled highly regular, equilateral triangles. In Search of the Brain’s Social Road Maps 2020-01-14T05:00:00Z Three of these domes are arranged in an equilateral triangle, 60 metres away from each other. Mystery sounds from storms could help predict tornadoes 2019-11-25T05:00:00Z Starting with an equilateral triangle, at each step of the process the middle third of each line segment is removed and replaced with an equilateral triangle pointing outward. Calculus, Vol 2 2016-03-30T00:00:00Z The concept for the Einstein Telescope in Europe calls for a detector with 10-kilometre arms arranged in an equilateral triangle and placed in tunnels 100 metres or so underground. How gravitational waves could solve some of the Universe’s deepest mysteries 2018-04-10T04:00:00Z Here, the faces are still regular polygons—equilateral triangles, squares, regular pentagons, and so on—but they will mix two or more shapes together. A Few of My Favorite Spaces: The Pseudo-Rhombicuboctahedron 2018-03-31T04:00:00Z One helpful design tip is to create an equilateral triangle between the sink, refrigerator and stove — it creates an easy flow of activity. Pro tips for choosing new cabinets for your kitchen \| Produced by Advertising Publications 2018-03-01T05:00:00Z The tetrahedron, octahedron, and icosahedron are made of four, eight, and twenty, respectively, equilateral triangles, the cube of six squares, and the dodecahedron of twelve regular pentagons. Justin Curry's Favorite Theorem 2017-12-09T05:00:00Z For n ≥ 1, let Fn be the curve created by removing the middle third of each side of Fn − 1 and replacing it with an equilateral triangle pointing outward. Calculus, Vol 2 2016-03-30T00:00:00Z In the top row of the tablet, said Wildberger, relatively equal ratios create a near equilateral triangle. Ancient Tablet May Show Earliest Use of This Advanced Math 2017-08-24T04:00:00Z It is a relative of the rhombicuboctahedron, which is an Archimedean solid that also has 24 vertices with three squares and one equilateral triangle around each vertex. A Few of My Favorite Spaces: The Pseudo-Rhombicuboctahedron 2018-03-31T04:00:00Z These objects sit near Lagrange points, which form an equilateral triangle with the Sun and Jupiter. Planetary science: Reckless orbiting in the Solar System : Nature : Nature Research 2017-03-28T04:00:00Z Soon after sunset on August 11, turn your attention to the gibbous moon forming an eye-catching, equilateral triangle pattern with the brilliant planets Mars and Saturn. This Week’s Night Sky: See an Asteroid Pass and Meteors Peak 2016-08-08T04:00:00Z With a planned launch date of 2034, eLISA would send three different spacecraft into orbit around the Sun, where they would form an equilateral triangle. How scientists will keep searching for gravitational waves 2016-02-13T05:00:00Z Here's how star-hopping works: Start with visualizing an equilateral triangle with one side marked by Hamal in Aries and Algenib, the lower left star of the square of the constellation Pegasus. How to See Uranus, Mercury, Jupiter and Mars 2015-10-15T04:00:00Z In hyperbolic space, on the other hand, some equilateral triangles fit seven around a point, some eight, some 50, and some even infinitely many around each vertex. Everything Looks Better in the Hyperbolic Plane 2015-08-21T04:00:00Z Resembling a small equilateral triangle hitched to a parallelogram, Lyra is one of the smaller but more easily recognized classical constellations, visible all summer long. This Week's Night Sky: Ghostly Stellar Ring Revealed 2015-07-13T04:00:00Z The ideal campfire is shaped like an equilateral triangle. 10 things we didn't know last week - BBC News 2015-06-12T04:00:00Z You could try an isosceles, scalene or equilateral triangle offense. A Zen Question: Why Watch the Knicks? 2014-12-17T05:00:00Z Perplexing Polyhedron Can you picture a solid pyramid consisting of a square base and four equilateral triangles, alongside a solid tetrahedron with four faces identical to those of the pyramid's triangles? Test Yourself 2014-10-08T04:00:00Z As noted by several readers, a clock with three equal-length hands won’t ever generate a perfect equilateral triangle with its fingertips, but 2:54:32 creates a triangle that’s very close. Wordplay Blog: Numberplay: Frog in Well 2012-05-28T16:00:00Z Thus the common equilateral triangle is in some cases used to symbolise the Holy Trinity; so are the two entwined triangles. Principles of Decorative Design Fourth Edition 2012-05-22T15:16:52.423Z The "Harlech," the U93 and the boat in which was Captain Crouch, stood to one another in the relation of the corners of an equilateral triangle. Submarine U93 2012-04-07T02:00:34.693Z She had taken her position to windward, and so as to form with the two vessels nearly an equilateral triangle, and in this masterly position flung her heavy metal against both alike. The Second War with England, Vol. 2 of 2 2012-04-05T02:00:38.213Z The light is of the revolving kind, consisting of fifteen Argand lamps and reflectors, five in each side of an equilateral triangle, and so placed as to produce a continuous light, but with periodical flashes. The Sea: Its Stirring Story of Adventure, Peril, & Heroism. Volume 2 2012-04-03T02:00:36.237Z When they were placed at a considerable distance, or when they were attached to the corners of an equilateral triangle of copper wire, they glowed in about the order determined by their surfaces. The inventions, researches and writings of Nikola Tesla With special reference to his work in polyphase currents and high potential lighting 2012-03-28T02:00:22.660Z Each of these small planets “moves approximately in a vertex of an equilateral triangle that it forms with Jupiter and the sun.” Astronomical Curiosities Facts and Fallacies 2012-03-27T02:00:18Z And we have a true equilateral triangle produced by a very ingenious system of chuckings, each of which may be known to be true. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z The first proposition, “To erect an equilateral triangle upon a given finite straight line,” indicates the problem solved by Christianity, when it erected the Trinity on the basis of the man we call Jesus. Satires And Profanities 2012-03-14T02:00:24.637Z This is bounded by four equilateral triangles and is identical with the regular tetrahedron of geometry. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7 "Crocoite" to "Cuba" 2012-01-22T03:00:24.397Z This decoration consists of a small circle, within which are inscribed two equilateral triangles placed one upon the other, so as to form a six-pointed star. The History of the Knights Templars, the Temple Church, and the Temple 2012-01-18T03:00:11.003Z It was an equilateral triangle about two and a half inches on edge, cut from a slab of meerschaum a little over an inch thick. The Unpopular Review, Number 19 July-December 1918 2012-01-09T03:00:24.167Z Sketches A and B show you how an equilateral triangle may be divided. Text Books of Art Education, Book IV (of 7) 2011-11-29T03:00:14.593Z Its base was just under six feet square, and a cross-section perpendicular to its length was an equilateral triangle, the sides of which were six feet long. The Ascent of the Matterhorn 2011-11-19T03:00:23.233Z Thus, to trisect an angle of 90° we need only to construct an angle of 60°, and this can be done by constructing an equilateral triangle. The Teaching of Geometry 2011-10-12T02:00:52.133Z The next kind of propositions we have to consider are general propositions, such as “all men are mortal,” “all equilateral triangles are equiangular.” Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z As another illustration we may take the conformal representation of an equilateral triangle upon a half plane. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z With the help of your circle maker or compass you can easily draw an equilateral triangle. Text Books of Art Education, Book IV (of 7) 2011-11-29T03:00:14.593Z Together, the three tunnels would form an equilateral triangle. What Do You Mean, the Universe Is Flat? Part II: In Which We Actually Answer the Question 2011-08-01T11:45:06.053Z From the study of the rectilinear figures suggested by such a simple pattern the properties of the equilateral triangle may be inferred. The Teaching of Geometry 2011-10-12T02:00:52.133Z The three, Denebola, Spica, and Arcturus, mark the corners of a great equilateral triangle. Astronomy with an Opera-glass A Popular Introduction to the Study of the Starry Heavens with the Simplest of Optical Instruments 2011-07-17T02:00:30.177Z Are equilateral triangles all similar, that is, of the same shape? Guide to the Kindergarten and Intermediate Class and Moral Culture of Infancy. 2011-06-30T02:00:25.950Z For a surface covering like Sketch D, construct one equilateral triangle and carry the base line across the paper. Text Books of Art Education, Book IV (of 7) 2011-11-29T03:00:14.593Z There are six small stars of the third magnitude in the constellation round its chief one—three of its stars forming an equilateral triangle. Astronomical Myths Based on Flammarions's History of the Heavens 2011-06-24T02:00:15.873Z The trefoil is closely connected with hexagonal designs, since the regular hexagon is formed from the inscribed equilateral triangle by doubling the number of sides. The Teaching of Geometry 2011-10-12T02:00:52.133Z His legs, which now formed two sides of an equilateral triangle with the floor for its base, were encased in startling checks, and his feet, which were small, in the glossiest patent leather. At Large 2011-03-27T02:00:14.907Z An equilateral triangle yields not to a square in regularity nor in uniformity of parts, and it is more simple. Beauty Illustrated Chiefly by an Analysis and Classificatin of Beauty in Woman 2011-02-28T03:00:32.460Z The Greeks told us that this temple, that at Ægina, and the Parthenon, are placed exactly at the angles of a great equilateral triangle, with each side about twenty-five or thirty miles long. Rambles and Studies in Greece 2011-02-18T03:00:16.480Z Ahead lay another smaller clearing, with three trees in the centre, growing to form an almost perfect equilateral triangle. Menotah A Tale of the Riel Rebellion 2011-02-14T03:00:35.553Z Thus Euclid begins Book I by a problem, to construct an equilateral triangle on a given line. The Teaching of Geometry 2011-10-12T02:00:52.133Z The only discovery worthy of note consisted of a crude diagram in pencil, on the white wall-paper behind a chest of drawers: three lines intersecting to form a large equilateral triangle. The Golden Triangle The Return of Ars?ne Lupin 2011-01-01T03:00:23.890Z For the packing problem, researchers are looking at so-called regular tetrahedrons, where each side is an identical equilateral triangle. 2010-01-05T21:56:00Z "The seal of Suleymán" is a name given by the Arabs to a six-pointed star formed by two equilateral triangles intersecting each other, and to the flower which we, also, call "Solomon's seal." The Thousand and One Nights, Vol. I. Commonly Called the Arabian Nights' Entertainments Subsequently the projecting edges were dressed down, so that the section through the dome is nearly that of an equilateral triangle. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 4 "Aram, Eugene" to "Arcueil" If the side of one equilateral triangle is three times as long as that of another, how do the perimeters compare? how do the areas compare? The Teaching of Geometry 2011-10-12T02:00:52.133Z Arches at first inclosing an equilateral triangle, afterwards obtusely pointed and struck from four centres. Architecture Gothic and Renaissance In shape roughly resembling an equilateral triangle, with base uppermost, Bosnia and Herzegovina cover an area of 19,696 sq. m., in the north-west of the Balkan Peninsula. Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 3 "Borgia, Lucrezia" to "Bradford, John" They are arranged with their centres forming equilateral triangles, and are spaced so that they can be cleaned externally both from the front of the boiler and also cross-ways in two directions. Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 2 "Bohemia" to "Borgia, Francis" The Gothic architects appear to have been guided in their designs by proportions based on the equilateral triangle. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 4 "Aram, Eugene" to "Arcueil" As far as could be discovered, the villages were five in number, all on the right bank of the river, and occupying a position which could be roughly outlined as an equilateral triangle. The Unveiling of Lhasa "Are you aware, Mr. Gascoigne, of the properties of an equilateral triangle?" International Short Stories English Tell the company they are to remove three matches; then add two and make two more equilateral triangles. More Conjuring Simple Tricks for Social Gatherings Thus, the defining property of an equilateral triangle is the equality of the sides: the equality of the angles is a proprium. Logic, Inductive and Deductive A rug pattern from a square A rug pattern from an equilateral triangle Fundamental form No. 2 The second fundamental form is made from a six-fold equilateral triangle. Hand-Loom Weaving A Manual for School and Home The shape of the lateral lobe varies from rounded oblong to an equilateral triangle; as it approaches this latter form, it becomes much wider than the upper or lower lobes. A Monograph on the Sub-class Cirripedia With Figures of all the Species. In the meantime Gascoigne had been measuring an equilateral triangle of twelve paces, and marked it out. International Short Stories English The light is of the revolving kind, consisting of fifteen Argand lamps and reflectors, five in each side of an equilateral triangle, and so placed as to constitute a continuous light, but with periodical flashes. Smeaton and Lighthouses A Popular Biography, with an Historical Introduction and Sequel Thus the common equilateral triangle was used to symbolize the Holy Trinity, as are the two entwined triangles. Our Homeland Churches and How to Study Them The equilateral triangle of theology must be turned into a square, with Old Nick for the fourth side. Arrows of Freethought The equilateral triangle, which is the simplest geometrical figure which can enclose a space, thus satisfying the mind the easiest of any, is nigh universal in symbolism. The Religious Sentiment Its Source and Aim: A Contribution to the Science and Philosophy of Religion The teeth are shaped like equilateral triangles and square shanks are used, exactly as with the Antikythera machine. On the Origin of Clockwork, Perpetual Motion Devices, and the Compass The first figures to be arranged in the frame will be, for example, the circle and the equilateral triangle, or the circle, the triangle and the square. Dr. Montessori's Own Handbook The Lateen sail is made in the form of an equilateral triangle, and two sides are fastened to spars which are connected at one end by a hinge or jaw. Boy Scouts Handbook The First Edition, 1911 It happened that the Lancashire Queen, the shore at Turner's Shipyard, and the Solano Wharf were the corners of a big equilateral triangle. Tales of the Fish Patrol I am making what is called an equilateral triangle; that is, a triangle with equal sides and equal angles. The Young Surveyor; or Jack on the Prairies It is a plain equilateral triangle in red outline, measuring about an inch on each side. The Red Triangle Being Some Further Chronicles of Martin Hewitt, Investigator Equilateral triangle system refers to the planting of the trees in equilateral triangles, but is identical with the hexagonal or septuple. The Pecan and its Culture The simplest, perhaps, is by the equilateral triangle. Boy Scouts Handbook The First Edition, 1911 Amsterdam is a semicircle, the Hague is a square, Rotterdam an equilateral triangle. Holland, v. 1 (of 2) The town was built in an almost equilateral triangle, with one angle pointed squarely up the Conemaugh Valley to the east, from which the flood came. The Johnstown Horror!!! or, Valley of Death, being A Complete and Thrilling Account of the Awful Floods and Their Appalling Ruin To the right of this line, nearly half-way down, is the rather vague constellation of Aquarius, where a small equilateral triangle with a star in the centre may be noticed. The Story of the Heavens Then, searching with the delicate tip of her forefinger in the empty case, she suddenly pressed the bottom hard,—thumb, middle finger and little finger forming the three apexes of an equilateral triangle. The Flaming Jewel His second, to the side of any inscribed equilateral triangle to a circle of radius 1. A Budget of Paradoxes, Volume II One love-sick swain described an equilateral triangle with a † rising from the vertex, and then inscribed the initials of his fiancée and also his own. Bell's Cathedrals: The Cathedral Church of Gloucester [2nd ed.] A Description of Its Fabric and A Brief History of the Espicopal See Even in the first proposition of all, where he constructs an equilateral triangle on a given base, he uses two circles which are assumed to intersect. Mysticism and Logic and Other Essays Sir William has adopted the old plan of glass tesseræ or cubes, and of four shapes—the cube, double cube, equilateral triangle, and a longer form with sharp points. Bell's Cathedrals: The Cathedral Church of Saint Paul An Account of the Old and New Buildings with a Short Historical Sketch These are the equilateral triangle, the square and the regular hexagon. Langstroth on the Hive and the Honey-Bee A Bee Keeper's Manual He did not pretend to more than approximation; but Montucla and others misunderstood him, and, still worse, misunderstood their own misunderstanding, and made him say the circle was exactly double of the equilateral triangle. A Budget of Paradoxes, Volume II Then, searching with the delicate tip of her forefinger in the empty case, she suddenly pressed the bottom hard, — thumb, middle finger and little finger forming the three apexes of an equilateral triangle. The Flaming Jewel Two more connected the reactor labs themselves, putting the labs and the living quarters at the corners of an equilateral triangle. The Bramble Bush This mountain, with Mount Olympus, and another further to the south, named by the same navigator Mount Rainier, form nearly an equilateral triangle, and tower over the rest, the giant wardens of the land. Handbook to the new Gold-fields An equilateral triangle would have made an uncomfortable tenement for an insect with a round body; and a square would not have been much better. Langstroth on the Hive and the Honey-Bee A Bee Keeper's Manual But God's equilateral triangle of body, soul, and spirit must never be ignored. Christianity and Progress “Are you aware, Mr Gascoigne, of the properties of an equilateral triangle?” Mr. Midshipman Easy Then you must describe an equilateral triangle—I mean a scientific religion, on the straight line, F R—between Faith and Reason.' 'That Very Mab' The three canoes were paddled to positions about a third of a mile apart, like as at the points of an equilateral triangle. Three Boys in the Wild North Land In the Alphabet the first line of characters, the equilateral triangle in four positions, reads as follows, ä e oo ah. By Canoe and Dog-Train These angles are the fundamental ones of the pentagon square, and equilateral triangle—respectively 108°, 90°, and 60°. The Continental Monthly , Vol. 2 No. 5, November 1862 Devoted to Literature and National Policy In setting trees after the hexagonal plan an equilateral triangle made of light poles or wire is probably best, especially on small rough areas, as it is very accurate, simple, and quite rapid. Apple Growing Who gave you leave to talk of a scientific religion as an equilateral triangle? 'That Very Mab' Procyon is equidistant from Betelgeuze in Orion, and Sirius in Canis Major, and forms with them an equilateral triangle. A Field Book of the Stars These took up positions at equidistant points, lines connecting which would have formed an equilateral triangle, the little cluster of huts surrounded by the sleeping Makalakas being in the centre. Kafir Stories Seven Short Stories The drawings of the plans may be distinguished from each other by this difference, that theatres designed from squares are meant to be used by Greeks, while Roman theatres are designed from equilateral triangles. The Ten Books on Architecture It makes all adjacent trees equally distant from each other and is really a system of equilateral triangles. Apple Growing Its original height was 480 feet, each side being an equilateral triangle. The Theory and Practice of Perspective It is distinguished by its forming an equilateral triangle with α and γ, stars of the same magnitude 6° south and east of it. A Field Book of the Stars You know the old story of the boy who bothered his brains with Euclid, until he came to dream regularly that he was an equilateral triangle enclosed in a circle. A Final Reckoning A Tale of Bush Life in Australia Above the tail of the Lesser Bear are the feet of Cepheus, and at this point, at the very top, are stars forming an equilateral triangle. The Ten Books on Architecture First of all you must figure to yourself a terrain shaped like a triangle—almost an equilateral triangle—with its base resting on the sea. The Mayor of Troy Square containing an equilateral triangle a symbol of the Divine and Human, 858-m. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry The six bright stars in Lyra form an equilateral triangle on one corner of a rhomboid. A Field Book of the Stars The Arabs understand by Solomon's Seal the figure of a six-pointed star, formed by two equilateral triangles intersecting each other, as frequently mentioned in Oriental tales. Herbal Simples Approved for Modern Uses of Cure His rays diverge through the firmament in straight lines as though forming an equilateral triangle, that is, to the fifth sign from the sun, no more, no less. The Ten Books on Architecture But for the north-eastern side of the country, which is indented by deep and wide inlets, its shape might be roughly described as that of an equilateral triangle. The Story of Newfoundland One of the most mysterious pantacles of the Kabalah, contained in the Enchiridion of Leo III., represents an equilateral triangle reversed, inscribed in a double circle. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry It is about 35° east of Denebola, in Leo, and nearly as far north of Spica, in Virgo, and forms with these two a large equilateral triangle. A Field Book of the Stars To know adequately the equilateral triangle, for instance, the pupil must know both the features which distinguish it from other triangles and also those in which it agrees with all triangles. Ontario Normal School Manuals: Science of Education Thus all equilateral triangles are equiangular triangles; but in one case they are named from the equality of their angles, and in the other from the equality of their sides. Logic Deductive and Inductive Their bases were four-cornered, their external surfaces equilateral triangles, pointing to the four cardinal points. The Mysteries of Free Masonry Containing All the Degrees of the Order Conferred in a Master's Lodge The equilateral triangle was one of their symbols; and so was the mystical Y; both alluding to the Triune God, and the latter being the ineffable name of the Deity. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry It makes with Sirius, in Canis Major, and Naos, in the Ship, a large equilateral triangle. A Field Book of the Stars The shape of the circumvallation, when it is fully illuminated, approximates very closely to that of an equilateral triangle with curved sides. The Moon A Full Description and Map of its Principal Physical Features Grant also that there is a similar sequence between yourself and B. Now, imagine yourself and A and B at the corners of an equilateral triangle set down to talk to each other. Certain Personal Matters Description of the Carpet representing the Camp.—On the carpet is drawn an "enneagen," in which is inscribed a pentagon; within this is an equilateral triangle, and in the triangle a circle. The Mysteries of Free Masonry Containing All the Degrees of the Order Conferred in a Master's Lodge In Grave they set the plants in quincunx, i.e. in equilateral triangles of three and a half pieds every side; and they stick a pole of six or eight feet high to every vine, separately. Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson, Volume 2 Betelgeuze, in Orion, Procyon, in Canis Minor, and Sirius form a nearly equilateral triangle. A Field Book of the Stars The star is easily identified, since it lies to the left of Vega, forming with ζ a small equilateral triangle. Half-hours with the Telescope Being a Popular Guide to the Use of the Telescope as a Means of Amusement and Instruction. Cut a Greek cross into six pieces that will form an equilateral triangle. Amusements in Mathematics Tricks with Matches Six matches are given to an individual and he is requested to make with them four equilateral triangles. School, Church, and Home Games The pumps are placed in an equilateral triangle, each side of which is of about thirty-five feet. Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson, Volume 2 In attempting this, he finds it needful to draw four equilateral triangles arranged in special positions. Essays on Education and Kindred Subjects Everyman's Library Let us next turn to the third star of the equilateral triangle mentioned above—viz. to the star ζ Lyræ. Half-hours with the Telescope Being a Popular Guide to the Use of the Telescope as a Means of Amusement and Instruction. The goat is placed in a half-acre meadow, that is in shape an equilateral triangle. Amusements in Mathematics The Trick—Three matches are laid upon the table, forming an equilateral triangle. School, Church, and Home Games It may be hollowed out at the bridge instead of arched; again, it may be nearly an equilateral triangle in outline, as in the Veddahs, and the nostrils may open somewhat forward instead of downward. The Doctrine of Evolution Its Basis and Its Scope Some writers assert that the pointed arch based on an equilateral triangle existed in Egypt, Syria, and Persia; others regard it as descended from Saracen and Arab art; nothing certainly is provable. The Cathedral When they were placed at a considerable distance, or when they were attached to the corners of an equilateral triangle of copper wire, they glowed about in the order determined by their surfaces. Experiments with Alternate Currents of High Potential and High Frequency I will just explain that the octahedron is one of the five regular, or Platonic, bodies, and is contained under eight equal and equilateral triangles. Amusements in Mathematics Near the middle region of the plate an equilateral triangle will be marked, each side of which will be three and one-half calibers long. Scientific American Supplement, No. 803, May 23, 1891 The design of the tracery in the rose window is in two orders, based upon equilateral triangles filled in with cusps. Bell's Cathedrals: The Cathedral Church of Chichester (1901) A Short History & Description Of Its Fabric With An Account Of The Diocese And See I will not contradict you; but what is really attractive is the scheme of ideas expressed by the figures in the hollow mouldings of the arch of this portal, based on an equilateral triangle. The Cathedral That point, our present camp and Meadow Ponds, where I intended to strike again into our former track, formed an equilateral triangle, the length of each side being about twenty-two miles. Three Expeditions into the Interior of Eastern Australia, Volume 1 It is bounded by twenty similar equilateral triangles. Amusements in Mathematics The equilateral triangle used in conjunction with the circle and the square was employed by the Romans in determining the proportions of triumphal arches, basilicas and baths. The Beautiful Necessity Seven Essays on Theosophy and Architecture Pentagram, a symbol presumed to possess a magical influence, particularly to charm away evil spirits, formed by placing the figure of an equilateral triangle athwart another. The Nuttall Encyclopædia Being a Concise and Comprehensive Dictionary of General Knowledge This cottage was as remote from Dymock's Tower in one way, as Shanty's shed was in another; although the three dwellings formed together a sort of equilateral triangle. Shanty the Blacksmith; a Tale of Other Times But the most convincing evidence to those who know the master lies in the composition, which forms an almost equilateral triangle, revealing Giorgione's supreme sense of beauty in line. Giorgione Now, all the numbers in the second row are triangular numbers, which means that these numbers of cannon balls may be laid out on the ground so as to form equilateral triangles. Amusements in Mathematics The question naturally arises, why the circle, the equilateral triangle and the square? The Beautiful Necessity Seven Essays on Theosophy and Architecture Walker and Robbins islands, which lie together in the shape of an equilateral triangle, with sides of nine miles, front the coast about midway, and leave only a narrow boat-channel between them and the main. Discoveries in Australia, Volume 1. With an Account of the Coasts and Rivers Explored and Surveyed During The Voyage of H.M.S. Beagle, in the Years 1837-38-39-40-41-42-43. By Command of the Lords Commissioners of the Admiralty. Also a Narrative Of Captain Owen Stanley's Visits to the Islands in the Arafura Sea. These are the letter G, the equilateral triangle, and the All-Seeing Eye. The Symbolism of Freemasonry Amsterdam is a semicircle, the Hague square, Rotterdam an equilateral triangle. Seeing Europe with Famous Authors, Volume 4 France and the Netherlands, Part 2 I have shown elsewhere, as stated, how to make a square and equilateral triangle of equal area. Amusements in Mathematics An ancient and notable example occurs in the pyramids of Egypt, the sides of which, in their original condition, are believed to have been equilateral triangles. The Beautiful Necessity Seven Essays on Theosophy and Architecture These vessels are quite simple in construction, the base consisting of an equilateral triangle made of beams and provided at the corners with runners. Scientific American Supplement, No. 481, March 21, 1885 The equilateral triangle appears to have been adopted by nearly all the nations of antiquity as a symbol of the Deity. The Symbolism of Freemasonry Three small moons were arranged at the upper left, set at the points of an equilateral triangle. The Runaway Asteroid Then it will be seen that as 3 contains five equal equilateral triangles and 4 contains fifteen similar triangles, one figure is three times as large as the other, and exactly eighteen matches are used. Amusements in Mathematics By far the most important figure in architectural proportion, considered from the standpoint of geometry, is the equilateral triangle. The Beautiful Necessity Seven Essays on Theosophy and Architecture The three principal points, to which the supporting threads were attached, formed here as they usually do, an equilateral triangle. The Mirror of Literature, Amusement, and Instruction Volume 14, No. 384, August 8, 1829 It happened that the Lancashire Queen, the shore at Turner’s Shipyard, and the Solano Wharf were the corners of a big equilateral triangle. Tales of the Fish Patrol In the first course, there was a shoulder of mutton cut into an equilateral triangle, a piece of beef into a rhomboides, and a pudding into a cycloid. Gulliver's Travels These fit together and form a perfect equilateral triangle, as shown in the second diagram. Amusements in Mathematics These wires are led to bollards which form in plan an equilateral triangle. British Airships, Past, Present, and Future For example, the "fashionable world" is far from being an integral quantity, or capable of being reasoned upon as if it were as definite in its relations and proportions as an equilateral triangle. Blackwood's Edinburgh Magazine — Volume 53, No. 327, January, 1843 The side of a regular heptagon is equal to half the side of an equilateral triangle inscribed in the same circle. Scientific American, Volume 17, No. 26 December 28, 1867 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures. "Even the cross of the church is deduced from the figure by which Euclid constructed the equilateral triangle," The columns present the proportions of the Doric, as to diameter and height. Beacon Lights of History, Volume 05 The Middle Ages Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC. Amusements in Mathematics The railways made a nearly equilateral triangle of the country between Cleveland, Chattanooga, and Dalton. Military Reminiscences of the Civil War, Volume 2 November 1863-June 1865 The island, which is an equilateral triangle, about 300 miles in “circuit,” can only be crossed here. The Hawaiian Archipelago "Are you aware, Mr Gascoigne, of the properties of an equilateral triangle?" Mr. Midshipman Easy For instance, in the particular case of equilateral triangles it is true to say, not only that 'all equilateral triangles are equiangular,' but also that 'all equiangular triangles are equilateral.' Deductive Logic He has simply cut out of paper an equilateral triangle—that is, a triangle with all its three sides of the same length. Amusements in Mathematics This Mercurian city contained none but perfect equilateral triangles, and the streets themselves were of absolutely uniform width. The Lord of Death and the Queen of Life Thus the idea of an equilateral triangle of an inch perpendicular may serve us in talking of a figure, of a rectilinear figure, of a regular figure, of a triangle, and of an equilateral triangle. A Treatise of Human Nature The Hindus I believe to have been the first who symbolised by an equilateral triangle their peculiar cult, the Yoni-Linga: in their temple architecture, it became either a conoid or a perfect pyramid. Personal Narrative of a Pilgrimage to Al-Madinah & Meccah — Volume 1 In the first instance the definition is less extensive than the term defined, since it applies only to equilateral triangles. Deductive Logic He proposes that it shall be cut into five pieces in such a way that they will fit together and form either two or three smaller equilateral triangles, using all the material in each case. Amusements in Mathematics "That is, two pyramids, set base to base? making eight plane surfaces, each a perfect equilateral triangle?" Mont-Saint-Michel and Chartres These are the equilateral triangle, the square, and the regular hexagon. The Life of the Bee On drawing near the battling line of breakers which marked the meeting of sea and land they could perceive within the nearly invisible horizon an equilateral triangle of lights. The Hand of Ethelberta For example, if all the equilateral triangles are all the equiangular, we know at once that all non-equilateral triangles are also non-equiangular. Deductive Logic The old man's route being along one side of an equilateral triangle, while Jim's was along two sides of the same, the former was at the point of intersection long before Hayward. The Romantic Adventures of a Milkmaid "They are most certainly one—a single concept of the only possible equilateral triangle measuring one metre on each face." Mont-Saint-Michel and Chartres Three place themselves at the corner of an equilateral triangle, four at those of a square, and five form a pentagon. Darwin and Modern Science If the courts is to be chalked out in white, I can draw a line so straight that you could hardly keep yourself from erecting an equilateral triangle on it. An Unsocial Socialist The real elements are two triangles, the rectangular isosceles which has but one form, and the most beautiful of the many forms of scalene, which is half of an equilateral triangle. Timaeus "Even the cross of the church is deduced from the figure by which Euclid constructed the equilateral triangle." Beacon Lights of History 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 These are as follows:— The Tetrahedron, having four equilateral triangles as faces. Bygone Beliefs: being a series of excursions in the byways of thought The equilateral triangle we call humanity exists, therefore, entire, identical, in you and me, as a subdivision of the infinite line, space, energy, or substance, which is God. Mont-Saint-Michel and Chartres The second solid is composed of the same triangles, which unite as eight equilateral triangles, and make one solid angle out of four plane angles—six of these angles form a regular octahedron. Timaeus Philosophy required three units to start from; it posed the equilateral triangle, not the straight line, as the foundation of its deometry. Mont-Saint-Michel and Chartres "An equilateral triangle, the sides of which measure one metre each." Mont-Saint-Michel and Chartres The Octahedron, having eight equilateral triangles as faces. Bygone Beliefs: being a series of excursions in the byways of thought And the third body is made up of 120 triangular elements, forming twelve solid angles, each of them included in five plane equilateral triangles, having altogether twenty bases, each of which is an equilateral triangle. Timaeus
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