| John Harris - Spherical projection - 1706 - 296 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 - 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. * 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 - 84 pages
...triangles (876), . . .67 Surface of the spherical triangle (891), .... 69 polygon (903), . , . ' . 71 **SPHERICAL TRIGONOMETRY. •' CHAPTER I. Definitions....180°. 2. The angle, formed by two sides of a spherical** > f triangle, is the same as the angle formed by theirf planes. 3. An isosceles spherical triangle... | |
| Adrien Marie Legendre - Geometry - 1836 - 382 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... | |
| 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... | |
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