| D. M. Knapen - Measurement - 1849 - 300 pages
...and the equatorial distance between two meridians 5 feet ; required tin- lunar area. Ans. 120 feet. A spherical triangle is a portion of the surface of a sphere bounded by the arcs of three great circles. The spherical excess is the excess of the three angles above two right... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...sphere,when it meets the sphere, but, being produced, does not cut it. 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... | |
| 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 to be each less than a semicircumference;... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 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. ix., D, 1). Hence, every spherical triangle has six... | |
| 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 SPHERICAL TRIANGLES. THEOREM I. (206.)... | |
| 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 TRIANGLES. ТНЕППЬМ I. In any... | |
| Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...finding the area : 1. S = lph; 2. S = £ be sin A ; and by making a + 4 + с = * , 3. 5 = - a) * e). Л SPHERICAL TRIANGLE is a portion of the surface of a sphere, bounded by the arcs of three great circles. The arce are sides, their points of intersection rcrticcs, and the... | |
| 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 to be each less than a semi-circumference... | |
| 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, and the... | |
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