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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: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...a point in the surface equally distant from all the points in the circumference of this circle. 12. 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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An Elementary Treatise on Plane and Spherical Trigonometry: With Their ...

Benjamin Peirce - Trigonometry - 1852 - 408 pages
...observer being 60 feet above the intervening sea. Ans. 7043 feet. SPHEEICAL TBIGONOMETEY. SPHEEICAL TRIGONOMETRY. CHAPTER I. DEFINITIONS. 1. Spherical...180. 2. The angle, formed by two sides of a spherical triangle, is the same as the angle formed by their planes. 3. Besides the usual method of denoting...
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An Elementary Treatise on Plane and Spherical Trigonometry: With Their ...

Benjamin Peirce - Trigonometry - 1852 - 400 pages
...DEFINITIONS. 1. X/,hericul Trigonometry treats of tlie solution of spherical triangles. Л fyherical Triangle is a portion of the surface of a sphere included...the present treatise those spherical triangles only fire treated of, in which the sides and angles are less than 180'. 2. The angle, formed by two sides...
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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
...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 - 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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