 | Edward Riddle - 1824 - Liczba stron: 572
...measure of D, and В С the supplement of the measure of F. PROPOSITION VIII. The sum of the interior angles of a spherical triangle is greater than two, and less than six right angles. For (see last figure) the measures of the angles А, В, С, in the triangle ABC, together with the... | |
 | John Martin Frederick Wright - 1825 - Liczba stron: 798
...1816. SPHERICAL TRIGONOMETRY. 1. EVERY plane section of a sphere is a circle. 2. The sum of the three angles of a spherical triangle is greater than two, and less than six, right angles. 3. The angles of a spherical triangle are А, В, С ; the sides respectively opposite to them, (а),... | |
 | John Martin F. Wright - 1827 - Liczba stron: 632
...COLLEGE. SPHERICAL TRIGONOMETRY. 1. EVERY plane section of a sphere is a circle. 2. The sum of the three angles of a spherical triangle is greater than two, and less than six, right angles. 3. The angles of a spherical triangle are A, B, C ; the sides respectively opposite to them, io), i/l),... | |
 | John Martin Frederick Wright - 1827 - Liczba stron: 344
...COLLEGE. SPHERICAL TRIGONOMETRY. 1. EVERY plane section of a sphere is a circle. 2. The sum of the three angles of a spherical triangle is greater than two, and less than six, right angles. 3. The angles of a spherical triangle are A, B, C; the sides respectively opposite to them, (a), (b),... | |
 | Thomas Curtis - 1829 - Liczba stron: 814
...of D, and В С the supplement of the measure of F. THEOREM XCI. — TKè sum of the interior augles of a spherical triangle is greater than two, and less than six right angles. For (fig. 106, p. III.) the measures of the angles А, В, С, together with the sides of the supplemental... | |
 | Augustus De Morgan - 1833 - Liczba stron: 40
...asserted. (B.) The greater angle of a spherical triangle is opposite, to the. greater side, and the mm of the angles of a spherical triangle is greater than two and Ins than six right angles. Also lhe sum of any two angles is less than the. third increased by 180°.... | |
 | 1835 - Liczba stron: 684
...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 by 180°. The first part appears from... | |
 | John Charles Snowball - 1837 - Liczba stron: 322
...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; A', B', C' and a', 6', c, the angles... | |
 | Benjamin Peirce - 1837 - Liczba stron: 216
...— 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 its... | |
 | Charles William Hackley - 1847 - Liczba stron: 248
...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 of the three is less than six right... | |
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The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC... 
