| Mathematics - 1801
...calculation of the sides and angles of spherical triangles. • . . ;2. A spherical triangle is a figure on **the surface of a sphere, bounded by three arcs of great circles.** 3. A spherical triangle, like a plane one, is eqttilateral, isoscelnr, or scalenous, according as the... | |
| 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... | |
| Francis Nichols - Plane trigonometry - 1811 - 128 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... | |
| Robert Woodhouse - Plane trigonometry - 1819 - 264 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 - 1822 - 367 pages
...will be shewn (6. VII.) that every circle, great or little, has always two poles. VI. A splterical **triangle is a portion of the surface of a sphere,...arcs, named the sides of the triangle, are always** sup- * posed to be each less than a semicircumference. The angles, which their planes form with each... | |
| 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...triangle, are always supposed to be each less than a** setnicircumference. The angles, which their planes form with each other, are the angles of the triangle.... | |
| Adrien Marie Legendre - Geometry - 1830 - 344 pages
...this circle. It will be shown (464.) that every circle, great or small, has always two poles. 442. **A spherical triangle is a portion of the surface of...named the sides of the triangle, are always supposed** to-be each less than a semicircumference. The angles, which their planes form with each other, are... | |
| Richard Wilson - Logarithms - 1831 - 372 pages
...sphere only in one point ; it is therefore a tangent plane. SECTION II. ON SPHERICAL TRIANGLES. DEF. X. **A spherical triangle is a portion of the surface of a sphere** contained by .three arcs of great circles ; and is formed by taking any three points, (of which two... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 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 supposed to be each less than a semi-circumference.... | |
| 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... | |
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