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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
First Part of an Elementary Treatise on Spherical Trigonometry - Page 1
by Benjamin Peirce - 1836 - 71 pages
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## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...segment, H its altitude : the solidity of the segment is BOOK IX. SPHERICAL GEOMETRY. DEFINITIONS. 1. A SPHERICAL TRIANGLE is a portion of the surface of a sphere,. bounded by three arcs of great circles. These arcs are named the sides of the triangle, and each is...
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## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...segment has but one base, its solidity is ±PxH+\«xH\ BOOK IX. SPHERICAL GEOMETRY. DEFINITIONS. 1. A SPHERICAL TRIANGLE is a portion of the surface of a sphere, bounded by three arcs of great circles. These arcs are named the sides of the triangle, and each is...
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## Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1855 - 192 pages
...teaches how to determine the several parts of a spherical triangle from having certain parts given. A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles, each of which is less than a semicircumference. RIGHT-ANGLED...
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## The Popular Educator, Volume 6

1855 - 424 pages
...teaches how to determine the several parts of a spherical triangle from having certain parts given. A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles, each of which is less than a semicircle. EIGHT-ANGLED SPHERICAL...
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## A Treatise on Trigonometry

George Biddell Airy - Trigonometry - 1855 - 121 pages
...D : 0 G : : sin ED : radius. If the radius of the sphere = 1, this ratio becomes sin ED : 1. (91.) A spherical triangle is a portion of the surface of a sphere contained by three arcs of great circles. (92.) Any two sides of a spherical triangle taken together...
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## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...volumes of these two bodies are as their surfaces. EIGHTH BOOK, SPHERICAL GEOMETRY. DEFINITIONS. I. A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. Those arcs, named the sides of the triangle, are always supposed...
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## Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...and that of the latter, by subtracting the logarithm of the sine from 20 SPHERICAL TRIGONOMETRY. 1. A SPHERICAL TRIANGLE is a portion of the surface of a sphere included by the arcs of three great circles (B. 1x., D. 1). Hence, every spherical triangle has six parts ;...
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## Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...formulas for rinding the area : = i£fti = £ he sin A ; and by making a + b + e = *, S = V 3. - a) ( «). A SPHERICAL TRIANGLE is a portion of the surface of a sphere, bounded by the arcs of three great circles. The arcs are sides, their points of intersection vertices,...
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## Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - Logarithms - 1859 - 372 pages
...teaches how to determine the several parts of a spherical triangle from having certain parts given. A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles, each of which is less than a semicircumference. RIGHT-ANGLED...
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## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 474 pages
...volumes of these two bodies are as their surfaces. EIGHTH BOOK, SPHERICAL GEOMETRY. DEFINITIONS. I. A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. Those arcs, named the sides of the triangle, are always supposed...
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