 | 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... | |
 | 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
...through the centre. 4. A plane is tangent to a sphere, when their surfaces have but one point in common. 5. The pole of a circle of a sphere is a point in...triangle, are always supposed to be each less than a semi-circamference. The angles which their planes form with each other, are the angles of the triangle.... | |
 | 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... | |
 | 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
...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. 2. A spherical triangle takes the name of right-angled, isosceles, equilateral, in the same cases as... | |
 | D. M. Knapen - Measurement - 1849 - 300 pages
...and the equatorial distance between two meridians 5 feet ; required tin- lunar area. Ans. 120 feet. A spherical triangle is a portion of the surface of a sphere bounded by the arcs of three great circles. The spherical excess is the excess of the three angles above two right... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...sphere,when it meets the sphere, but, being produced, does not cut it. 6. A spherical triangle is a part of the surface of a sphere, bounded by three arcs of great circles, each of which is less than a semicircumference. These arcs are called the sides of the triangle; and... | |
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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
