| Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...height, the observer being 60 feet above the intervening sea. Ans. 7043 feet. SPHERICAL TRIGONOMETRY. **SPHERICAL TRIGONOMETRY. CHAPTER I. DEFINITIONS. 1....180°. 2. The angle, formed by two sides of a spherical** triangle, is the same as the angle formed by their planes. 3. Besides the usual method of denoting... | |
| Benjamin Peirce - Plane trigonometry - 1845 - 449 pages
...height, the observer being 60 feet above the intervening sea. Ans. 7043 feet. SPHEEICAL TRIGONOMETRY. **SPHERICAL TRIGONOMETRY. CHAPTER I. DEFINITIONS. 1....180°. 2. The angle, formed by two sides of a spherical** triangle, is the same as the angle formed by their planes. 3. Besides the usual method of denoting... | |
| Nathan Scholfield - Conic sections - 1845
...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 - 896 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 - 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... | |
| George Roberts Perkins - Geometry - 1847 - 308 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... | |
| Roswell Park - 1847 - 622 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... | |
| Thomas Grainger Hall - Trigonometry - 1848 - 194 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 - 384 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 - 276 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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