 | 1801 - 658 σελίδες
...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... | |
 | John Bonnycastle - 1806 - 464 σελίδες
...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 - 1811 - 162 σελίδες
...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 - 1819 - 300 σελίδες
...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. *... | |
 | Adrien Marie Legendre - 1822 - 394 σελίδες
...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.... | |
 | Adrien Marie Legendre - 1828 - 346 σελίδες
...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.... | |
 | Richard Wilson - 1831 - 372 σελίδες
...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... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...other being nothing, its solidity will be i BOOK IX. OF SPHERICAL TRIANGLES AND SPHERICAL POLYGONS. * Definitions. 1. A spherical triangle is a portion...These arcs are named the sides of the triangle, and are always supposed to be each less than a semi-circumference. The angles, which their planes form... | |
 | Benjamin Peirce - 1836 - 84 σελίδες
...•' 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... | |
 | Benjamin Peirce - 1836 - 92 σελίδες
...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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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
