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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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Pamphlets in Philology and the Humanities, Volume 2

English language - 1897 - 726 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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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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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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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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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 - 472 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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