| Edward Riddle - Nautical astronomy - 1824 - 572 pages
...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 - Mathematics - 1825 - 798 pages
...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 Frederick Wright - 1827 - 344 pages
...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),... | |
| John Martin F. Wright - 1827 - 638 pages
...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),... | |
| Thomas Curtis - Aeronautics - 1829
...of D, and В С the supplement of the measure of F. THEOREM XCI. — TKč 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... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...than two right angles, and less than six right angles. For the arcs which measure the three angles **together with the three sides of the polar triangle are equal to three semicircumferences** (Г.), or six quadrants : therefore, the former alone are less than six quadrants, and consequently... | |
| Augustus De Morgan - Spherical trigonometry - 1833 - 40 pages
...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°.... | |
| Mathematics - 1835
...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 - 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; A', B', C' and a', 6', c, the angles and sides... | |
| Benjamin Peirce - Geometry - 1837 - 216 pages
...6, 180° — 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... | |
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