| 单词 | equilateral |
| 例句 | 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 There was an ancient school-bus-yellow sign with a black circle holding three equilateral yellow triangles. The Smartest Kid in the Universe 2020-12-01T00:00:00Z 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 “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 There are love triangles here but, as in life, none are equilateral. Tove Ditlevsen’s Fiction Is Bleak and Claustrophobic — Mostly in a Good Way 2022-04-11T04:00:00Z 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 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 She added an equilateral oval line, slightly off-center within the disk’s perfect circle. Review: Transcendental Painting Group is one of Modern art’s best kept secrets. This LACMA show proves it 2023-01-06T05:00:00Z The equilateral cross with its legs bent at right angles is a millennia-old sacred symbol in Hinduism, Buddhism and Jainism that represents peace and good fortune. Asian faiths try to save sacred swastika corrupted by Hitler 2022-12-02T05:00:00Z 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 The Bucks also unveiled plans for the arena’s new scoreboard, which the team says will be the largest equilateral center-hung display in the NBA. Daktronics to outfit digital displays at new Bucks arena 2017-02-21T05:00:00Z 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 solid triangles tend to vary somewhat in shape, from equilateral to narrow isosceles, even in well painted bowls: cf. b, c; this variation is perhaps unavoidable. Mohave Pottery 2012-04-26T02:00:09.420Z This is the triangle—generally the equilateral—which of course symbolised both the trinity in unity and the equality of the three. The Masculine Cross A History of Ancient and Modern Crosses and Their Connection with the Mysteries of Sex Worship; Also an Account of the Kindred Phases of Phallic Faiths and Practices 2012-04-11T02:00:31.327Z 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 Each of these consists of a solid red triangle, isosceles or equilateral, with sides of 15-20 mm. Mohave Pottery 2012-04-26T02:00:09.420Z 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 The arches are generally equilateral, and the mouldings bolder than in the Early English, with less depth in the hollows and with the fillet largely used. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 10 "David, St" to "Demidov" 2012-02-17T03:00:33.923Z Bounded by eight equilateral triangular faces perpendicular to the triad axes of symmetry. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7 "Crocoite" to "Cuba" 2012-01-22T03:00:24.397Z Or it may be made of one pole supported at each end by two legs spread out widely apart, like two sides of an equilateral or equal-sided triangle. Poultry A Practical Guide to the Choice, Breeding, Rearing, and Management of all Descriptions of Fowls, Turkeys, Guinea-fowls, Ducks, and Geese, for Profit and Exhibition. 2012-01-19T03:00:19.390Z Three-square files are made with equilateral triangular sections, as in Fig. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z 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 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 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 Euclid does not use the word regular, but he describes the polygons in question as equiangular and equilateral. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z But Doctor Balthazard himself described the piece of cottonwool he examined as follows: 'This gag is made of two pieces, one rectangular, the other triangular and almost equilateral.' My Memoirs 2011-09-13T02:00:28.713Z 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 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 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 regular triangle is equilateral, the regular quadrilateral is the square. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z 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 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 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 It opens with a definition of a regular polygon as one that is both equilateral and equiangular. 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 All three sides are equal, and so they have a different name,—they are called equilateral. Guide to the Kindergarten and Intermediate Class and Moral Culture of Infancy. 2011-06-30T02:00:25.950Z 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 In fact, I am not sure of having ever seen an equilateral or rectilineal triangle. Lectures on the true, the beautiful and the good 2011-05-25T02:00:17.943Z 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 It consists of an equilateral hollow prism, two of whose sides are silvered on the inside so as to be mirrors, while the third is formed of glass. The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde 2011-04-14T02:00:57.977Z 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 Why, then, ultimately will the notions “square” and “circle” not coalesce so as to form one object of thought for the human mind, while the notions “equilateral” and “triangle” will so coalesce? Ontology or the Theory of Being 2011-04-01T02:00:38.727Z 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 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 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 Preliminary experiments with rubber compounded with large proportions of finely divided mineral matter, such as carbon black, show that the load-stretch curves obtained autographically are likewise reducible to equilateral hyperbolæ. The Preparation of Plantation Rubber 2011-03-09T03:00:40.870Z 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 We have never seen, then, any but imperfect images of equilateral, rectilineal, or isosceles triangles, since they neither exist in nature, nor can be constructed by art. Lectures on the true, the beautiful and the good 2011-05-25T02:00:17.943Z 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 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 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" Arches mostly inclosing an equilateral angle, the mouldings often continued down the pier. 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" 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 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" Arches at first inclosing an equilateral triangle, afterwards obtusely pointed and struck from four centres. Architecture Gothic and Renaissance Time and Tune join each other, while Time, Tune, and Mirthfulness occupy the three angles of a triangle, nearly equilateral, the shortest side being between Time and Tune. The Illustrated Self-Instructor in Phrenology and Physiology "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 Half of the dome of the Temple of Mercury had fallen down, showing the section to have been nearly that of an equilateral arch. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 6 "Dodwell" to "Drama" On the other hand, triangles can be divided into equilateral, isosceles and scalene, since no other kind of triangle can exist. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 5 "Dinard" to "Dodsworth" Divide them into equilateral, isosceles, and scalene according as the three sides are all of equal length, or two of equal length, or each of different length, and you have a perfect division. Logic, Inductive and Deductive In the meantime Gascoigne had been measuring an equilateral triangle of twelve paces, and marked it out. International Short Stories English 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. 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 But if you do not keep to a single basis, as in dividing them into equilateral, isosceles, scalene, and right-angled, you have a cross-division. Logic, Inductive and Deductive The typical and simplest triangle, the equilateral, is next presented, and if this be divided by a line bisecting one angle, the result will be two triangles of still different shape, the right-angled scalene. Froebel's Gifts If the radius with which these intermediate curves are drawn be the base of f, the last is the equilateral pointed 129 arch, one of great importance in Gothic work. The Stones of Venice, Volume I (of 3) 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 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 The various triangles differ greatly in their capabilities of producing Life forms, the equilateral and the obtuse isosceles being especially deficient in this regard and requiring to be combined with the other tablets. Froebel's Gifts I mean of course by the relative pointed, the entire group of which the equilateral arch is the representative. The Stones of Venice, Volume I (of 3) 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 Here we note that the equilateral and obtuse isosceles triangles, so ill fitted to produce Life forms, lend themselves to forms of symmetry in great variety. Froebel's Gifts 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 Ivan he had already placed on the nearer side, and Alexis at the bottom—so that they were thus set at the three angles of a triangle, nearly equilateral. Bruin The Grand Bear Hunt Amsterdam is a semicircle, the Hague is a square, Rotterdam an equilateral triangle. Holland, v. 1 (of 2) By combining rules of the same and different lengths, they become familiar with equilateral, isosceles, scalene, right, and obtuse angled triangles. Popular Education For the use of Parents and Teachers, and for Young Persons of Both Sexes 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 The entire edifice rests upon an equilateral base of six hundred and twenty feet, situated due N.S.E. and W., and rises gradually in terraces adapted in design to the form of the hill. A Visit to Java With an Account of the Founding of Singapore 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 Symbols of the Holy Trinity.—The equilateral Triangle is perhaps the most familiar emblem of the Holy Trinity. The Worship of the Church and The Beauty of Holiness Friction-rollers are a late improvement in the sheaves of blocks, &c., by which the pin is relieved of friction by three rollers in the coak, placed equilaterally. 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. 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 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 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 The shape of the triangular extremity of the lateral processes differs considerably, being either almost equilateral or much elongated. The Variation of Animals and Plants Under Domestication, Vol. I. These are the equilateral triangle, the square and the regular hexagon. Langstroth on the Hive and the Honey-Bee A Bee Keeper's Manual 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 Many miners on Mars could remember when Jupiter Equilateral had been nothing more than a tiny mining company working claims in the remote "equilateral" cluster of asteroids far out in Jupiter's orbit. Gold in the Sky 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 My legs and thighs first formed an obtuse angle, afterwards an equilateral angle, and at length, an acute one. Curiosities of Literature, Vol. 1 “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 It is not equilateral; there are four longer and four shorter sides, alternate and respectively equal. Ely Cathedral 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 Who gave you leave to talk of a scientific religion as an equilateral triangle? 'That Very Mab' 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 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 Rhomb.—An equilateral parallelogram or a quadrilateral figure whose sides are equal and the opposite sides, B, B, parallel. Carpentry for Boys In a Simple Language, Including Chapters on Drawing, Laying Out Work, Designing and Architecture With 250 Original Illustrations 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 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 Its original height was 480 feet, each side being an equilateral triangle. The Theory and Practice of Perspective 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 The six bright stars in Lyra form an equilateral triangle on one corner of a rhomboid. A Field Book of the Stars Q. How is the equilateral arch formed and described? The Principles of Gothic Ecclesiastical Architecture, Elucidated by Question and Answer, 4th ed. 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 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 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 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 A. The lancet arch is seldom seen; the equilateral arch is generally, though not always, used. The Principles of Gothic Ecclesiastical Architecture, Elucidated by Question and Answer, 4th ed. Of this union the equilateral Triangle inscribed within the Square is a Symbol. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry Fires from burning leaves sent up sluggish pillars of smoke, that spread out equilaterally above the trees in the windless air. The Mayor of Warwick 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 It makes with Sirius, in Canis Major, and Naos, in the Ship, 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 Three, or the Triad, is most significantly expressed by the equilateral and the right-angled triangles. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry 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 Betelgeuze, in Orion, Procyon, in Canis Minor, and Sirius form a nearly 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 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 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 It is fully 56 miles in diameter, and, though generally described as nearly circular, exhibits very distinctly under high powers a polygonal outline, approximating very closely to an equilateral hexagon. The Moon A Full Description and Map of its Principal Physical Features 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 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 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 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 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 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 The Trick—Three matches are laid upon the table, forming an equilateral triangle. School, Church, and Home Games Owhyhee, the easternmost, and by much the largest of these islands, is of a triangular shape, and nearly equilateral. A General History and Collection of Voyages and Travels, Volume 17 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 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 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 Of three-sided members an equilateral or independent member is that to which all sides are the same. Punch, or the London Charivari, Volume 1, October 9, 1841 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 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 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 It is bounded by twenty similar equilateral triangles. Amusements in Mathematics 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 Associated words: lateral, laterality, laterally, collateral, bilateral, equilateral, quadrilateral, longilateral, lopsided, multilateral, perimeter, ambidexter, ambidextrous, ambidexterity. side, a. lateral, collateral, incidental. side by side. in apposition. Putnam's Word Book 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 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 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 Triangles are of three kinds, the equilateral or three-sided, the quadrilateral or four-sided, and the multilateral or polyglot. Toaster's Handbook Jokes, Stories, and Quotations 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 The question naturally arises, why the circle, the equilateral triangle and the square? The Beautiful Necessity Seven Essays on Theosophy and Architecture I have shown elsewhere, as stated, how to make a square and equilateral triangle of equal area. Amusements in Mathematics 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 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. By division we may separate them into scalene, isosceles, and equilateral, or if we divide them according to a different principle into right and oblique triangles. Composition-Rhetoric 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 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 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 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 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 These fit together and form a perfect equilateral triangle, as shown in the second diagram. Amusements in Mathematics 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 The form of this melted part could be made to differ considerably, but approximated to that of an equilateral hyperbola. Scientific American Supplement, No. 415, December 15, 1883 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 Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC. Amusements in Mathematics 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 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 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 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. The fountain had three tubes or channels of right pearl, seated in three equilateral angles already mentioned, extended on the margin, and those channels proceeded in a snail-like line, winding equally on both sides. Gargantua and Pantagruel, Illustrated, Book 5 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 "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 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 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 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 "That is, two pyramids, set base to base? making eight plane surfaces, each a perfect equilateral triangle?" Mont-Saint-Michel and Chartres A is not B. If this triangle is equilateral, its sides and its angles will be equal. Deductive Logic 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 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 They are of course mutually exclusive whenever they embody the result of a correct logical division, as 'Triangles are either equilateral, isosceles or scalene.' Deductive Logic The form of the triangular extremity of the lateral processes differs considerably, being either almost equilateral or much elongated. The Variation of Animals and Plants under Domestication — Volume 1 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 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 In the first instance the definition is less extensive than the term defined, since it applies only to equilateral triangles. Deductive Logic 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 These are as follows:— The Tetrahedron, having four equilateral triangles as faces. Bygone Beliefs: being a series of excursions in the byways of thought "An equilateral triangle, the sides of which measure one metre each." Mont-Saint-Michel and Chartres 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 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 In the National Herbarium specimen of furfuraceum, however, of the same distribution, the surface is almost equilateral, measuring 15 mm. long by 18 mm. wide at base. North American Species of Cactus The Octahedron, having eight 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 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 The third solid is a regular icosahedron, having twenty triangular equilateral bases, and therefore 120 rectangular scalene triangles. Timaeus In that description the triangular terminal surface is said to be "about an inch broad by one-half inch," which is decidedly different from the equilateral surface of the tubercle of prismaticum. North American Species of Cactus The first solid is a regular pyramid, of which the base and sides are formed by four equilateral or twenty-four scalene triangles. 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 |
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