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" A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. "
A Treatise on Special Or Elementary Geometry - Page 219
by Edward Olney - 1872 - 1 pages
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 2

Mathematics - 1801 - 658 pages
...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...
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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 - 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...
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A Treatise on Plane and Spherical Trigonometry

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. *...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 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, bounded by three arcs of great circles. Those arcs, named the sides of the triangle, are always sup- * posed to be each less than a semicircumference....
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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 to be each less than a setnicircumference....
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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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Elements of Geometry and Trigonometry

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 supposed to be each less than a semi-circumference....
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First Part of an Elementary Treatise on Spherical Trigonometry

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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First Part of an Elementary Treatise on Spherical Trigonometry

Benjamin Peirce - Spherical trigonometry - 1836 - 84 pages
...•' 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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