 | Roswell Park - Best books - 1841 - 624 pages
...intercepted between two parallel planes ; and the intercepted solid is called a spherical segment. A spherical triangle, is a portion of the surface...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
...a point in the surface 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 - 1845 - 894 pages
...a point in the surface 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 - Conic sections - 1845 - 244 pages
...a point in the surface 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.... | |
 | Benjamin Peirce - Plane trigonometry - 1845 - 498 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... | |
 | Benjamin Peirce - Plane trigonometry - 1845 - 498 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... | |
 | Roswell Park - 1847 - 632 pages
...intercepted between two parallel planes ; and the intercepted solid is called a spherical segment. A spherical triangle, is a portion of the surface...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... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...a point in the surface equally distant from all the points in the circumference of this circle. 12. 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 semicircumference... | |
 | Thomas Grainger Hall - Trigonometry - 1848 - 192 pages
...circles, each at right angles to DF, and the point P of their intersection will be the pole of DF. 9. A spherical triangle is a portion of the surface of a sphere contained by three arcs of three great circles, each of which is supposed to be less than a semicircle.... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...other being nothing, its solidity will be i BOOK IX. OF SPHERICAL TRIANGLES AND SPHERICAL POLYGONS. Definitions. 1. A spherical triangle is a portion...a sphere, bounded by three arcs of great circles. 2. A spherical triangle takes the name of right-angled, isosceles, equilateral, in the same cases as... | |
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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
