 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...20, 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... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...(Prop. V.), that every circle, whether great or small, has two poles. 6. A spherical triangle is a part of the surface of a sphere, bounded by three arcs of great circles, each of which is less than a semicircumference. These arcs are called the sides of the triangle ; and... | |
 | 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 SPHERICAL TRIANGLES. THEOREM I. (206.)... | |
 | George Roberts Perkins - Geometry - 1860 - 472 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 to be each less than a semi-circumference;... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...the surface of a sphere which are bounded by the arcs of its great circles. 2. A Spherical Polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, called the sides of the polygon. 3. The Angles of a spherical polygon... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...passing two planes through those arcs ; as the angle formed on the edge EF, by the planes EAT, EDP. 505. A SPHERICAL TRIANGLE is a portion of the surface of a Sphere bounded by three arcs of great circles, each arc being less than a semi-circumference ; as AE D. These arcs are named the sides of the triangle... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...TRIGONOMETRY. 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 planes in which the arcs... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...passing two planes through those arcs ; as the angle formed on the edge EF, by the planes EAF, EDF. 505. A SPHERICAL TRIANGLE is a portion of the surface of a sphere boimded by three arcs of great circles, each arc being less than a semi-circumference ; as A ED. These... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...TRIGON0METRY. 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 planes in which the arcs... | |
 | Benjamin Greenleaf - Geometry - 1866 - 328 pages
...passing two planes through those arcs ; as the angle formed on the edge EF, by the planes EAP, EDP. 505. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of great circles, each arc being less than a semi-circumference ; as AE D. These arcs are named the sides of the triangle... | |
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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
