 | John Charles Snowball - 1837 - 322 pàgines
...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; A', B', C' and a', 6', c,... | |
 | Adrien Marie Legendre - 1841 - 288 pàgines
...will be greater than a semicircumference, which is the measure of two right angles ; therefore the sum of the three angles of a spherical triangle is greater than two right angles. 490. Corollary i. The sum of the angles of a spherical triangle is not constant like... | |
 | Charles William Hackley - 1847 - 248 pàgines
...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 of the three is less than... | |
 | James Hann - 1849 - 84 pàgines
...AB=180°— F; BС=180°— D; AС=180°— E; A=180— FE; B = 180° — FD; С = 180° — DE. The sum of the three angles of a spherical triangle is greater than two right angles, and less than six right angles. For if a' + b' + c' be the sides of the supplemental... | |
 | Adrien Marie Legendre - 1852 - 436 pàgines
...remainder is greater than one semicircumference, which is the measure of two right angles ; hence, the sum of the three angles of a spherical triangle is greater than two right angles. 239 Cor. 1. The sum of the three angles of a spherical triangle is not constant, like... | |
 | Charles Davies - 1854 - 436 pàgines
...remainder is greater than one semicircumference, which is the measure of two right angles ; hence, the sum of the three angles of a spherical triangle is greater than two right angles. BOOK IX. Cor. 1. The sum of the three angles of a spherical triangle is not constant,... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 pàgines
...remainder is greater than one semicircumference, which is the measure of two right angles ; hence, the sum of the three angles of a spherical triangle is greater than two right angles. Cor. 1. The sum of the three angles of a spherical triangle is not constant, like that... | |
 | Elias Loomis - 1858 - 256 pàgines
...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 which measure the angles A,... | |
 | Elias Loomis - 1861 - 244 pàgines
...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 which measure the angles A,... | |
 | Benjamin Greenleaf - 1862 - 532 pàgines
...will be greater than one semi-circumference, which is the measure of two right angles ; hence, the sum of the three angles of a spherical triangle is greater than two right angles. 542. Cor. 1. The sum of the angles of a spherical triangle i» not constant, like that... | |
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... the sum of the three angles of a spherical triangle is greater than two right angles. 
