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" Any angle is greater than the difference between 180° and the sum of the other two angles. "
First Part of an Elementary Treatise on Spherical Trigonometry - Page 30
by Benjamin Peirce - 1836 - 71 pages
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Elements of Geometry

George Washington Hull - Geometry - 1897 - 408 pages
...circle may be inscribed in a spherical triangle. 506. Either angle of a spherical triangle is greater than the difference between 180° and the sum of the other two angles. 507. The intersection of two spheres is a circle whose plane is perpendicular to the straight line...
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Documents of the Senate of the State of New York, Volume 11

New York (State). Legislature. Senate - Government publications - 1897 - 1306 pages
...quadrantal triangle, Napier's circular parts. 2 Prove that each angle of a spheric triangle is greater than the difference between 180° and the sum of the other two angles. 3 Prove that the hypotenuse of a right spheric triangle is less than 90° only when both the other...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...of each polyedron by dividing it into pyramids.) 46. Either angle of a spherical triangle is greater than the difference between 180° and the sum of the other two angles. BOOK IX. MEASUREMENT OP THE CYLINDER, CONE, AND SPHERE. THE CYLINDER. DEFINITIONS. 638. The lateral...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 450 pages
...of each polyedron by dividing it into pyramids.) 46. Either angle of a spherical triangle is greater than the difference between 180° and the sum of the other two angles. BOOK IX. MEASUREMENT OF THE CYLINDER, CONE, AND SPHERE. THE CYLINDER. DEFINITIONS. 638. The lateral...
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Bulletin

Education - 1900 - 804 pages
...more of the following principles to determine the true value of a required part : Each angle greater than the difference between 180° and the sum of the other two angles. At least two sides in the same quadrants as their opposite angles respectively. Half the sum of two...
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Original Exercises in Plane and Solid Geometry

Levi Leonard Conant - Geometry - 1905 - 134 pages
...prove that OA is perpendicular to the plane of OBO. 883. Any angle of a spherical triangle is greater than the difference between 180° and the sum of the other two angles. 884. The distance between the centers of two spheres whose radii are 25 in. and 17 in. respectively,...
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 466 pages
...difference between the other two sides. 7. Prove that each angle of a spherical triangle is greater than the difference between 180° and the sum of the other two angles. 8. Show that the surface of a sphere is eight times the surface of a trirectangular triangle. 9. (a)...
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Spherical Trigonometry: For Colleges and Secondary Schools

Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...difference between the other two sides. 7. Prove that each angle of a spherical triangle is greater than the difference between 180° and the sum of the other two angles. 8. Show that the surface of a sphere is eight times the surface of a trirectangular triangle. 0. (a)...
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Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...difference between the other two sides. 7. Prove that each angle of a spherical triangle is greater than the difference between 180° and the sum of the other two angles. 8. Show that the surface of a sphere is eight times the surface of a trirectangular triangle. 9. (a)...
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