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" A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. "
An Elementary Treatise on Plane & Spherical Trigonometry: With Their ... - Page 135
by Benjamin Peirce - 1845 - 449 pages
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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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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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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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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 - Geometry - 1857 - 444 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 : = ifti = 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 - 470 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: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 520 pages
...TRIG0N0METRY. DEFINITIONS. 145. SPHERICAL TRIGONOMETRY treats of methods of computing spherical triangles. 146. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of a great circle, each of which is less than a semi-circumference. The three...
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