Books Books A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. An Elementary Treatise on Plane & Spherical Trigonometry: With Their ... - Page 135
by Benjamin Peirce - 1845 - 449 pages ## Elements of Plain and Spherical Trigonometry: Together with the Principles ...

John Harris - Geometry - 1706 - 253 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... ## Glossographia Anglicana Nova: Or, a Dictionary, Interpreting Such Hard Words ...

Electronic books - 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... ## A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

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... ## A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

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... ## A Treatise on Plane and Spherical Trigonometry

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. * Each arc... ## Elements of Geometry and Trigonometry: With Notes

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... ## A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

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... ## First Part of an Elementary Treatise on Spherical Trigonometry

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... ## Elements of Geometry and Trigonometry

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... 