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" A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. "
First Part of an Elementary Treatise on Spherical Trigonometry - Page 1
by Benjamin Peirce - 1836 - 71 pages
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

Roswell Park - Best books - 1841 - 626 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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