 | Edward Riddle - 1824 - 572 sider
...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 - 798 sider
...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 - 632 sider
...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 - 344 sider
...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 - 814 sider
...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... | |
 | Pierce Morton - 1830 - 584 sider
...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 - 1833 - 40 sider
...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 - 684 sider
...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 sider
...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 - 1837 - 216 sider
...— 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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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... 
