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" THEOREM. The surface of a spherical triangle is measured by the excess of the sum of its three angles above two right angles, multiplied by the tri-rectangular triangle. "
First Part of an Elementary Treatise on Spherical Trigonometry - Page 69
by Benjamin Peirce - 1836 - 71 pages
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Handbook of Mathematics for Engineers and Engineering Students

Joseph Claudel - Mathematics - 1906 - 758 pages
...928). 882. Taking the tri-rectangular spherical triangle and the right triangle as units (881): 1st. A spherical triangle is measured by the excess of the sum of its angles over two right angles. 2d. Any spherical polygon is measured by the excess of the sum of its...
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The Harvard University Catalogue

Harvard University - 1876
...are equiangular with respect to each other, they are also equilateral with respect to each other. 6. The surface of a spherical triangle is measured by the excess of the sum of its three angles over two right angles. Prove. 7. Given that the area of the surface, generated by a straight...
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The Harvard University Catalogue

Harvard University - 1874
...to the base, what is the ratio of the volume above to that below the cutting plane ? 9. Prove that the surface of a spherical triangle is measured by the excess of the sum of its angles over 180. EXAMINATIONS FOR ADMISSION. 321 TRIGONOMETRY. 1. Find the sine of 1 13' 52". 2....
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Scientific Schools: France. The Polytechnic school at Paris ..., Part 1

Henry Barnard - 1862 - 160 pages
...following enunciations: "A dihedral angle is measured by the plane angle included between its sides;" "The surface of a spherical triangle is measured by the excess of the sum of its three angles above two right angles," etc. ; enunciations which have no meaning in themselves, and from which...
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Calendar

University of Cambridge - 1844 - 550 pages
...examples, 5 + VIO-.V6-V15 and 15-2V-2Vl5 + 3V2"-2 N/6+2 Vs"-2 V30. 2. Prove that the surface of any spherical triangle is measured by the excess of the sum of its angles above two right angles. 3. Spatia quae corpus urgente quacunque vi finita describit, sive vis...
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