...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...

...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),...

...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),...

...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),...

...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...

...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°....

...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...

...— 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...

...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...

...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 triangle...