# Equilateral Sentence Examples

In a similar manner, four covertical

**equilateral**triangles stand on a square base.If the faces be all equal

**equilateral**triangles the solid is termed the "regular" tetrahedron.Five

**equilateral**triangles covertically placed would stand on a pentagonal base, and it was found that, by forming several sets of such pyramids, a solid could be obtained which had zo triangular faces, which met in pairs to form 30 edges, and in fives to form 12 vertices.The base of the

**equilateral**triangle is the top of the wedge.The regular octahedron has for its faces

**equilateral**triangles; it is the reciprocal of the cube.AdvertisementOmega Centauri makes an almost

**equilateral**triangle with these two stars on their western side.While this design may have been traditional, the shape of the new 50p coin, an

**equilateral**curve heptagon, was revolutionary.In crystallography the icosahedron is a possible form, but it has not been observed; it is closely simulated by a combination of the octahedron and pentagonal dodecahedron, which has twenty triangular faces, but only eight are

**equilateral**, the remaining twelve being isosceles (see Crystallography).Nicaragua forms an irregular

**equilateral**triangle with its base stretching for 280 m.The

**equilateral**triangle is the basis of the tetrahedron, octahedron and icosahedron.'AdvertisementLadenburg (Ber., 2, p. 140) devised his prism formula (IV), the six carbon atoms being placed at the six corners of a right

**equilateral**triangular prism, with its plane projections (V, VI).In shape roughly resembling an

**equilateral**triangle, with base uppermost, Bosnia and Herzegovina cover an area of 19,696 sq.Incidentally Pappus describes the thirteen other polyhedra bounded by

**equilateral**and equiangular but not similar polygons, discovered by Archimedes, and finds, by a method recalling that of Archimedes, the surface and volume of a sphere.Inside an

**equilateral**triangle, for instance, of height h, - 2Ra/3y/h, (8) where a, 13, y are the perpendiculars on the sides of the triangle.The isothermals are approximately

**equilateral**hyperbolas (pv= constant), with the axes of p and v for asymptotes, for a gas or unsaturated vapour, but coincide with the isopiestics for a saturated vapour in presence of its liquid.AdvertisementThese problems were also attacked by the Arabian mathematicians; Tobit ben Korra (836-901) is credited with a solution, while Abul Gud solved it by means of a parabola and an

**equilateral**hyperbola.The theorem, then, seems to have been arrived at by induction, and may have been suggested by the contemplation of floors or walls covered with tiles of the form of

**equilateral**triangles, or squares, or hexagons.If three

**equilateral**triangles be placed at a common vertex with their covertical sides coincident in pairs, it is seen that the base is an equal**equilateral**triangle; hence four equal**equilateral**triangles enclose a space.A third reflecting plate is sometimes employed, the cross-section of the three forming an

**equilateral**triangle.The French army was thus disposed almost in an

**equilateral**triangle with sides of about 570 m., with 95,000 men at the apex at Moscow opposed to 120,000, 30,000 about Brest opposite ioo,000, and 17,000 about Drissa confronted by 40,000, whilst in the centre of the base at Smolensk lay Victor's corps, about 30,000.AdvertisementOctahedra having triangular faces other than

**equilateral**occur as crystal forms. See Polyhedron and Crystallography.In the case of a biaxal plate perpendicular to the bisector of the acute angle between the optic axes, the curves of constant retardation are approximately Cassini's ovals, and the lines of like polarization are

**equilateral**hyperbolae passing through the points corresponding to the optic axes.