| Mathematics - 1835 - 684 pages
...proposition asserted. (B.) The greater angle of a spherical triangle is opposite, to the greater side, and **the sum of the angles of a spherical triangle is greater than** two and less than six right angles. Also the sum of any two angles is less than the, third increased... | |
| Benjamin Peirce - Geometry - 1837 - 216 pages
...— c; and the sides of the polar triangle ISO° — ,4, 180° — B, 180° — C. \ 447. Theorem. **The sum of the angles of a spherical triangle is greater than** two right angles. Demonstration. Let A, B, C be the angles of the spherical triangle. The sides of... | |
| John Charles Snowball - 1837 - 322 pages
...triangle, V+6'>c'; .-. (тг- А) + (тг-B)>(ж-С); .: тг>A + B-С. Or, A + B - С < тг. 21. **The sum of the angles of a spherical triangle is greater than** two, and less than six, right angles. Let A, B, С be the angles, and a, b, с the sides of a triangle;... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...Astronomy, which, as a science of observation, depends entirely on angular measurements. PROP. XIV. **The sum of the angles of a spherical triangle is greater than** two and less than six right angles, For each angle is less than two (note to Prop. 8), hence the sum... | |
| Benjamin Peirce - Geometry - 1847 - 204 pages
...180° — c; and the sides of the polar triangle 180° — .#, 180° — B, 180° — C. 447. Theorem. **The sum of the angles of a spherical triangle is greater than** two right angles. Proof. Let A, B, C be the angles of the spherical triangle. The sides of its polar... | |
| Thomas Grainger Hall - Trigonometry - 1848 - 192 pages
...the sign of the square root appears to be a negative quantity ; but it is really positive. For since **the sum of the angles of a spherical triangle is greater than** two right angles, but less than six, S is always greater than 90°, and less than 270° ; and therefore... | |
| Bengal council of educ - 1852 - 348 pages
...common surface of the two fluids. (6.) Describe Nicholson's Hydrometer and the mode in which it is **used in practice. (7.) Describe the process of filling...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... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...the angle E ; and AB is the supplement of the arc which measures the nnjrle F. PROPOSITION X. THEOREM **The sum of the angles of a spherical triangle, is greater than** two, and less than six right angles. Let A, B, and C be the angles of a spherical triangre. The arcs... | |
| Elias Loomis - Conic sections - 1861 - 244 pages
...the anglexE ; and AB is the supplement of the arc which measures the angle F. PROPOSITION X. THEOREM **The sum of the angles of a spherical triangle, is greater than** two, and less than six right angles. Let A, B, and C be the angles of a spherical triangle. The arcs... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...equilateral, rectangular, bir ectangular, and trirectangular, according to their triedrals. 771. Corollary — **The sum of the angles of a spherical triangle is greater than** two, and less than six right angles (591). equal to its symmetrical, and has equal angles opposite... | |
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