How To Use Equilateral triangle In A Sentence
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This is constructed by dividing a line into three equal parts and replacing the middle segment by the other two sides of an equilateral triangle constructed on the middle segment.
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An equilateral triangle produces one of the observed crop-circle patterns; three isosceles triangles generate the other crop-circle geometries.
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The faces of the polyhedron appear to consist of two equilateral triangles and six somewhat irregular pentagons.
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Because the next most important angle to the right angle is the two-thirds of a right angle; that is, the angle of an equilateral triangle.
The British and the Metric Systems
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An equilateral triangle would be formed with its associated 60 degree angle.
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For example, we know that a circle is somehow more symmetrical than a equilateral triangle.
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Euclid was able to draw an equilateral triangle, square, pentagon and hexagon, but recall that the heptagon (which has seven sides) and the nonagon (nine) eluded him.
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Richardson, Taylor and Tomlinson are scattered, forming a sort of equilateral triangle.
Veterans Keep Jets Grounded
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The form of that portion of the base of the bladder which is named "trigone vesical" constitutes an equilateral triangle, and may be described by two lines drawn from the vesical orifice to both openings of the ureters, and another line reaching transversely between the latter.
Surgical Anatomy
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Figure 6 shows an equilateral triangle and a rhombus that circumscribe the same unit circle.
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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 into Several Remote Nations of the World
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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
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From the moment that grand trine appeared in the sky—an equilateral triangle like the great pyramids—it was our turn to clean house.
Surrender the Dark
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Euclid was able to draw an equilateral triangle, square, pentagon and hexagon, but recall that the heptagon (which has seven sides) and the nonagon (nine) eluded him.
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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
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For example, is the attribute of being an equilateral triangle the same as the attribute of being an equiangular triangle?
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construct an equilateral triangle
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Using these simple tools they could construct equilateral triangles and hexagons and they could bisect any angle.
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As an equilateral triangle rolls over one catenary, it ends up bumping into the next catenary
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The design radiates symmetrically from a central point and is constructed from a pattern of circles, equilateral triangles, squares, hexagons and/or six-pointed stars.
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It happened that the Lancashire Queen, the shore at Turner's Shipyard, and the Solano Wharf were the corners of a big equilateral triangle.
THE SIEGE OF THE 'LANCASHIRE QUEEN'
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The most interesting results show, with a very ingenious proof, that an equilateral triangle has a greater area than any isosceles or scalene triangle with the same perimeter.
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Cross-sections are in the shape of circles, ovals, squares, rectangles, equilateral triangles or regular polygons.
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A regular octahedron has faces that are all equilateral triangles.
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The hieroglyphical senary (the double equilateral triangle) is the symbol of Deity.
Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry
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The design radiates symmetrically from a central point and is constructed from a pattern of circles, equilateral triangles, squares, hexagons and/or six-pointed stars.
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Thus it is as true to say that 'All equiangular triangles are equilateral' as that 'All equilateral triangles are equiangular.'
Deductive Logic
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Cross-sections are in the shape of circles, ovals, squares, rectangles, equilateral triangles or regular polygons.
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For a given individual, the values of the three coefficients in the ancestry vector q are given by the distances to each of the three sides of the equilateral triangle.
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The sides of this equilateral triangle will be five million kilometres long.
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Obtained by the rotation of 60 ° of two equilateral triangles superimposed and spaced in height, the form appears simple but at the same time full of spatial complexity.
Swing-Up by AquiliAlberg for Serralunga
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Naturally, the axes form equilateral triangles - 27 of them.
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Bridge of the nose high and straight, from Biduan to Erjian and for the equilateral triangle.
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The faces of the first three of these are composed of equilateral triangles, and each face is itself composed of six elemental (scalene) half equilateral right-angled triangles, whose sides are in a proportion of
Plato's Timaeus
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Its outline roughly forms an equilateral triangle.
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He also found another solution where the three bodies were at the vertices of an equilateral triangle.
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The earliest symbols for the Trinity were abstract: the equilateral triangle, sometimes embellished with rays; an eye enclosed within a triangle, referring to the all-seeing eye of God watching from the Trinity; the triangle enclosing a circle, suggesting the eternity of the Trinity; three interlocking circles to imply equality, unity, and eternity in the persons of the Trinity; or three equal intertwining arches, the triquetra, an early Christian emblem for the Trinity.
A Handbook of Symbols in Christian Art
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An equilateral triangle of side length one is called a unit triangle.
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But the image of the centroid of the equilateral triangle (which is, of course, the point of intersection of its medians) will be different, as indicated in Figure 6.
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The simplest way to see why this assertion is true is to observe that any triangle in the plane can be mapped by an invertible affine transformation to an equilateral triangle.
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For example, three Woolworths sites around Birmingham form an exact equilateral triangle (Wolverhampton, Lichfield and Birmingham stores) and if the base of the triangle is extended, it forms a 173.8 mile line linking the Conway and Luton stores.
Boing Boing
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Use your protractor to construct an equilateral triangle.
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The theorem thus implies existence of the total of 18 equilateral triangles.
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For example, a level 1 question asked why a certain figure was an equilateral triangle.
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In 1772, J.L. Lagrange identified a periodic orbit in which three masses are at the corners of an equilateral triangle.
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One way to draw a Reuleaux triangle is to start with an equilateral triangle, which has three sides of equal length.
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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
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Three - sided equilateral triangle that can be customized by dragging any selection handle.
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The vibration exciter and geophone were placed near the burrow with burrow opening, exciter and geophone occupying the three corners of an equilateral triangle having sides one meter in length.
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Figure 6 shows an equilateral triangle and a rhombus that circumscribe the same unit circle.
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Its outline roughly forms an equilateral triangle.
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Join five equilateral triangles together and you have the first part of an icosahedron C.
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Judging the paintings, he said that straight lines, curves and equilateral triangles, involved in the drawing, could shape the children's handwriting.
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From the moment that grand trine appeared in the sky—an equilateral triangle like the great pyramids—it was our turn to clean house.
Surrender the Dark
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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
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The Von Koch snowflake is a fractal which is constructed from an equilateral triangle as follows.
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Then divide it into three equal pieces, and replace the middle piece with the other two sides of the equilateral triangle that has this middle piece as its base.
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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
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equilateral triangles are triangles of equal edge lengths
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This is constructed by dividing a line into three equal parts and replacing the middle segment by the other two sides of an equilateral triangle constructed on the middle segment.
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If each edge has the same length and each face is an equilateral triangle, the result is a regular tetrahedron - one of the Platonic solids.
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The materials of first experiment contain easily named shapes and the shapes not easy to name, with respectively five-pointed star shape, round, arrows, equilateral triangle, square.
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For example, if you enter 1, 3, 6, 10, 15, the server will tell you that is sequence A000217, the triangular numbers (these are the number of objects that can form an equilateral triangle like the standard arrangement of bowling pins.)
An Important AT&T Legacy Finds a New Home « Steve Wildstrom on Tech
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One way to draw this is to start with an equilateral triangle, which has three sides of equal length.
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Now, both the original Asymmetric Propeller and Napoleon's theorem start with three equilateral triangles and discover the fourth one by construction.
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Its outline roughly forms an equilateral triangle.
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The third regular polygon is the equilateral triangle, and two of them joined make a diamond.
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Using these simple tools they could construct equilateral triangles and hexagons and they could bisect any angle.
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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 and Meccah
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The most interesting results show, with a very ingenious proof, that an equilateral triangle has a greater area than any isosceles or scalene triangle with the same perimeter.
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For example, it's possible to slice a square into four angular pieces that can be rearranged into an equilateral triangle.
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The back of a second, kneeling Magus and of the seated Virgin supporting the Child form two sides of an equilateral triangle located plumb in the centre of the design.