| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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