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" A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. "
First Part of an Elementary Treatise on Spherical Trigonometry - Page 1
by Benjamin Peirce - 1836 - 71 pages
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

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...
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

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...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

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...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

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...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

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...
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Elements of Geometry: With Practical Applications ...

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...
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Pantology; or, A systematic survey of human knowledge

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...
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A treatise on plane and spherical trigonometry

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....
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

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,...
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The Mechanic's Assistant: A Thorough Practical Treatise on Mensuration and ...

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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