| 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... | |
| Charles Hutton - Mathematics - 1811 - 424 pages
...I. General Properties of Spherical Triangles, • ART. 1. Def, I. Any portion of a spherical surface bounded by three arcs of great circles, is called a Spherical Triangle. (' Def. 2. Spherical Trigonometry is the art of computing the measures of the sides and angles of spherical... | |
| Charles Hutton - Mathematics - 1816 - 618 pages
...SECTION I. General Properties ofS/iherical Triangles. ART. 1. Def. \ Any portion of a spherical surface bounded by three arcs of great circles is called a Spherical Triangle. Def 2. Spherical Trigonometry is the art of computing the measures of ihe sides and angles of spherical... | |
| Adrien Marie Legendre - Geometry - 1822 - 394 pages
...(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.... | |
| Charles Hutton - Mathematics - 1822 - 680 pages
...General Properties of Spherical Triangles. ' ' ' ' f ' ART. 1. De/l 1. Any portion of a spherical surface bounded by three arcs of great circles is called a Spherical Triangle. Def. 2. Spherical Trigonometry is the art of computing the measures of the sides and angles of spherical... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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.... | |
| Roswell Park - Best books - 1841 - 624 pages
...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 convex surface of a cylinder, is equal to... | |
| Nathan Scholfield - Conic sections - 1845 - 542 pages
...equally distant from all the points in the circumference of this circle. 6. 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 semi-circamference.... | |
| Nathan Scholfield - Conic sections - 1845 - 244 pages
...equally distant from all the points in the circumference of this circle. 6. 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 semi-circumference.... | |
| Nathan Scholfield - 1845 - 894 pages
...equally distant from all the points in the circumference of this circle. 6. 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 semi-circumference.... | |
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