 | John Harris - Spherical projection - 1706 - 298 pages
...fame with the Inclination of the Plains of thofe Circles which conftitute the Angle. II. A Sfbtriek Triangle is a Portion of the Surface of a Sphere, included between the Arks of three great Circles of the Sphere. HI. The Quantity of a Spherical An: gle is eftimated... | |
 | English language - 1707 - 590 pages
...ofdefcribingon a Plane the Circles of the Sphere, or any parts of them in their juft Pofition and Proportion. Spherical 'Triangle, is a Portion of the Surface of a Sphere , included between theArks of three great Circles of the Sphere. Spherical Angle, is the mutual Aperture or Inclination... | |
 | 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 - 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... | |
 | Robert Woodhouse - Plane trigonometry - 1819 - 300 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. * Each arc... | |
 | 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... | |
 | 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... | |
 | Benjamin Peirce - Spherical trigonometry - 1836 - 92 pages
...Definitions of degree of surface, lunary surface, . . .66 Measure of the lunary surface (870), .... 66 SPHERICAL TRIGONOMETRY. CHAPTER I. Definitions. 1....sphere included between three arcs of great circles. In the present treatise those spherical triangles only are treated of, in which the sides and angles... | |
 | Benjamin Peirce - Spherical trigonometry - 1836 - 84 pages
...triangles (876), . . .67 Surface of the spherical triangle (891), .... 69 polygon (903), . , . ' . 71 SPHERICAL TRIGONOMETRY. •' CHAPTER I. Definitions....sphere included between three arcs of great circles. In the present treatise those spherical triangles only are treated of, in which the sides and angles... | |
 | 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... | |
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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
