| John Bonnycastle - Trigonometry - 1806 - 464 pages
...drawn at the distance of 90° from its angular point ; thus A c is the measure of the angle ABC. 9. **A spherical triangle, is a portion of the surface of a sphere, contained by** the arcs of three great circles; as ABC. 73 10. A right-angled spherical triangle, is that which has... | |
| Francis Nichols - Plane trigonometry - 1811 - 162 pages
...between the two arcs which form the angle, and drawn at the distance of 90° from the angular point. 9. **A spherical triangle is a portion of the surface of a sphere contained by** the arcs of three great circles which intersect one another. Note. The three arcs are called the sides... | |
| Robert Woodhouse - Plane trigonometry - 1819 - 290 pages
...A plane is said to be a tangent of a sphere, when it has one point only common with the sphere. 5. **A spherical triangle is a portion of the surface of a sphere** included within three arcs * of three great circles, which arcs are called sides of the triangle. *... | |
| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...this circle. It will be shown (404.) that every circle, great or small, has always two poles. 442. **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 - Spherical trigonometry - 1836 - 84 pages
...•' CHAPTER I. Definitions. 1. Spherical Trigonometry treats of the solution] of spherical triangles. **A Spherical Triangle is a portion of the surface of a sphere** included between three arcs of great circles. In the present treatise those spherical triangles only... | |
| Benjamin Peirce - Spherical trigonometry - 1836 - 92 pages
...TRIGONOMETRY. CHAPTER I. Definitions. 1. Spherical Trigonometry treats of the solution of spherical triangles. **A Spherical Triangle is a portion of the surface of a sphere** included between three arcs of great circles. In the present treatise those spherical triangles only... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...nothing, its solidity will be i BOOK IX. OF SPHERICAL TRIANGLES AND SPHERICAL POLYGONS. * 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 are always... | |
| John Hymers - Logarithms - 1841 - 244 pages
...and Q; and since each of the angles РОЛ, QOB, is a right angle, L POQ = ¿ ЛОВ = ¿ ACB. 7- The **portion of the surface of a sphere contained by three arcs of great circles** which cut one another two and two, is called a spherical triangle; the planes in which the arcs lie... | |
| Roswell Park - Best books - 1841 - 624 pages
...intercepted between two parallel planes ; and the intercepted solid is called a spherical segment. **A spherical triangle, is a portion of the surface of a sphere,** bounded by three arcs of great circles, that is, circles whose planes pass through the centre. The... | |
| Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...TRIGONOMETRY. CHAPTER I. DEFINITIONS. 1. Spherical Trigonometry treats of the solution of spherical triangles. **A Spherical Triangle is a portion of the surface of a sphere** included between three arcs of great circles. In the present treatise those spherical triangles only... | |
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