| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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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