| Roger Fenn - Mathematics - 2007 - 330 pages
...calculus to be 1 T ..• -. . It follows that the area of the unit sphere is 47c. We have mentioned that **the sum of the angles of a spherical triangle is greater than** -. It turns out that this "excess" is equal to the area of the triangle. We first find the area of... | |
| Claude Bruter - Mathematics - 2002 - 360 pages
...machines comes out essentially from the inequality 1 1 1 — H --- h .. > 1, pqr implied by the fact that **the sum of the angles of a spherical triangle is greater than** TT. A very natural extension of this would be to have "machines for building symmetry" in hyperbolic... | |
| Charles Coulston Gillispie - Science - 2009 - 615 pages
...trigonometry, in effect treating their data as if the earth were flat and neglecting the inconvenience that **the sum of the angles of a spherical triangle is greater than** 180°. Less easily satisfied was Legendre, the mathematical member of the French team, whose analysis... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1853 - 520 pages
...circumstances? What point in Reaumur's and in Centigrade scale correspond to 44° Fahrenheit. (8.) **The sum of the angles of a spherical triangle is greater than two right angles,** and less than six. Show that the angles at the base of an isosceles triangle are equal. (9.) Express... | |
| 284 pages
...the third side, and the sum of the three sides is less than the circumference of a great circle. 95. **The sum of the angles of a spherical triangle is greater than two right angles,** but less than six right angles. 96. The planes of the small circles of equal radii, on a sphere, envelop... | |
| United States. War Department - 194 pages
...degrees of the central angle subtended at the center of the sphere in the plane of the circle.) (6) **The sum of the angles of a spherical triangle is greater than** ,0 180° and less than 540°. Any angle of a spherical triangle must be less than 180°. (c) The sum... | |
| Education - 1903 - 780 pages
...regular polyhedron? (b) How many regular convex polyhedrons are possible? (c) Name them. 3. Prove: **The sum of the angles of a spherical triangle is greater than** one, and less than three straight angles. 4. The angles of a spherical triangle are 120°, 270°, and... | |
| Education, Elementary - 1900 - 1022 pages
...greater side, and conversely. 5. The sum of the sides of a spherical triangle is less than 360°. 6. **The sum of the angles of a spherical triangle is greater than** 180° and less than 540°. 7. I (the first of two spherical triangles is polar to the second, then... | |
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