Use ‘spherical triangle’ in a sentence | ‘spherical triangle’ example sentences
1- His name was given to a theorem of spherical triangles .
2- The work is basically about flat triangles as distinguishable from spherical triangles .
3- This involves resolving a spherical triangle .
4- Clarke, Legendre’s theorem on spherical triangles ).
5- Three planes define a spherical triangle , the principal subject of this article.
6- Consider an “n”-sided spherical polygons as well as spherical triangles .
7- There is also a black silhouette of a mural crown above the black spherical triangle‘s base.
8- He exhaustively cataloged the central and surface angles of these spherical triangles and their related chord factors.
9- From this point the article will be restricted to spherical triangles , denoted simply as “triangles”.
10- Coxeter groups with less than 3 generators have degenerate spherical triangle domains, as lunes or a hemisphere.
11- In Book I, he established a basis for spherical triangles analogous to the Euclidean basis for plane triangles.
12- Some examples of non-planar triangles in non-Euclidean geometries are spherical triangles in spherical geometry and hyperbolic triangles in hyperbolic geometry.
13- Another theorem that he establishes is that the sum of the angles of a spherical triangle is greater than 180°.
14- The relative azimuth between the observed pointing and the sun, ψ, is the scattering angle and can be found by applying the law of cosines to the spherical triangle .
15- Thus, the spherical triangle is defined not only by the three points located at the sun, zenith, and observed point but by both the three interior angles as well as the three angular distances.
16- He listed the six distinct cases of a right-angled triangle in spherical trigonometry, and in his “On the Sector Figure”, he stated the law of sines for plane and spherical triangles , discovered the law of tangents for spherical triangles, and provided proofs for both these laws.
17- He listed the six distinct cases of a right-angled triangle in spherical trigonometry, and in his “On the Sector Figure”, he stated the law of sines for plane and spherical triangles, discovered the law of tangents for spherical triangles , and provided proofs for both these laws.
18- In addition to Indian works, Hellenistic methods dealing with spherical triangles were also known, particularly the method of Menelaus of Alexandria, who developed “Menelaus’ theorem” to deal with spherical problems.
19- He establishes a theorem that is without Euclidean analogue, that two spherical triangles are congruent if corresponding angles are equal, but he did not distinguish between congruent and symmetric spherical triangles.
20- He establishes a theorem that is without Euclidean analogue, that two spherical triangles are congruent if corresponding angles are equal, but he did not distinguish between congruent and symmetric spherical triangles .
21- The reflective point groups in three dimensions are also called Coxeter groups and can be given by a Coxeter-Dynkin diagram and represent a set of mirrors that intersect at one central point, and bound a spherical triangle domain on the surface of a sphere.
22- Four planes define a spherical quadrilateral: such a figure, and higher sided polygons, can always be treated as a number of spherical triangles .
23- Spherical trigonometry is that branch of spherical geometry which deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles ) defined by a number of intersecting great circles on the sphere.
24- The angles of the two graticules are related by using spherical trigonometry on the spherical triangle NM’P defined by the true meridian through the origin, OM’N, the true meridian through an arbitrary point, MPN, and the great circle WM’PE.
25- The internal division into upper and lower chapels is clearly marked on the outside by a string-course, the lower walls pierced by smaller windows with a distinctive spherical triangle shape.
26- A hyperbolic triangle can be obtained by drawing on a negatively curved surface, such as a saddle surface, and a spherical triangle can be obtained by drawing on a positively curved surface such as a sphere.
27- While the measures of the internal angles in planar triangles always sum to 180°, a hyperbolic triangle has measures of angles that sum to less than 180°, and a spherical triangle has measures of angles that sum to more than 180°.
28- “elementary” spherical triangle for “NEP” in Fig.
29- Napier’s rules for right spherical triangles
30- Wolfram’s mathworld: spherical triangle nice applet
31- spherical triangle Calculator A practical javascript program
32- The full set of rules for the right spherical triangle is (Todhunter, Art.62)
33- [[File: spherical triangle .svg|thumb|right|150px|A geodesic triangle on the sphere.
34- This equation can be derived as a special case of the spherical law of cosines that applies to all spherical triangles :
35- an octant of a sphere is a spherical triangle with three right angles, so that the excess is π/2.
36- When one of the sides, say “c”, of a spherical triangle is equal to Ï€/2 the corresponding equations are obtained by applying the above rules to the polar triangle “A’B’C’ ” with sides “a’,b’,c’ ” such that “A’ “= π–”a”, “a’ ” = π–”A” etc. This gives the following equations:
37- When one of the angles, say “C”, of a spherical triangle is equal to Ï€/2 the various identities given above are considerably simplified. This involves resolving a spherical triangle.
More Sentences:
Related Words:
obtuse triangle – geodesic triangle – polar triangle – scalene triangle – obtuse angled triangle – right angled triangle – circular triangle – spherical triangle – isosceles triangle – bermuda triangle – southern triangle – triangle spider – semantic triangle – semiotic triangle – devil’s triangle –
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