 | 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 of a sphere, bounded by three arcs of great circles, that is, circles whose planes pass through the centre. The... | |
 | Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...of its top is 3° ; find its height, the observer being 60 feet above the intervening sea. Ans. 7043 feet. SPHERICAL TRIGONOMETRY. SPHERICAL TRIGONOMETRY....sphere included between three arcs of great circles. In the present treatise those spherical triangles only are treated of, in which the sides and angles... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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 of a sphere, bounded by three arcs of great circles, that is, circles whose planes pass through the centre. The... | |
 | 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... | |
 | 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,... | |
 | 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... | |
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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
