 | William Chauvenet - 1893 - 340 σελίδες
...Theorem.—In an isosceles spherical triangle the angles opposite the equal sides are equal. 2. Theorem.—The arc drawn from the vertex of an isosceles spherical triangle to the middle point of the base is perpendicular to the base, and bisects the vertical angle. 3. Theorem.—If two... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 416 σελίδες
...triangle is less than the sum of the other two. SUG. See Art. 388. Ex. 345. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle point of the base is perpendicular to the base and bisects the vertical angle. Ex. 346. The angles... | |
 | George Albert Wentworth - 1896 - 68 σελίδες
...spherical triangle, the angles opposite the equal sides are equal. 754. Cor. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the base bisects the vertical angle, is perpendicular to the base, and divides the triangle into two symmetrical... | |
 | James Howard Gore - 1898 - 232 σελίδες
...spherical triangle, the angles opposite the equal sides are equal. 509. Tlie arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the base is perpendicular to the base, and bisects the vertical angle. 510. If with the vertices of a spherical triangle as poles... | |
 | George Albert Wentworth - 1899 - 246 σελίδες
...ABD and ACD are mutually equiangular. § 810 . ' . Z. B = ZCQED 813. COR. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the base bisects the vertical angle, is perpendicular to the base, and divides the triangle into two symmetrical... | |
 | George Albert Wentworth - 1899 - 500 σελίδες
...ABD and ACD are mutually equiangular. § 810 '' ' Z B = Z- C. QED 813. COR. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the base bisects the vertical angle, is perpendicular to the base, and divides the triangle into two symmetrical... | |
 | William James Milne - 1899 - 396 σελίδες
...are mutually equiangular. Hence, Z. B = Z C. Therefore, etc. QED 714. Cor. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the base bisects the vertical angle, is perpendicular to the base, and divides the triangle into two symmetrical... | |
 | Webster Wells - 1899 - 180 σελίδες
...of n sides is greater than 2 n — 4, and less than 2 n, right angles. 6. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle point of the base, is perpendicular to the base, and bisects the vertical angle. PROP. XXXI. THEOEEM.... | |
 | George Albert Wentworth - 1902 - 248 σελίδες
...ABD and ACD are mutually equiangular. § 810 .'. Z .B = Z C'. QED 813. COR. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the base bisects the vertical angle, is perpendicular to the base, and divides the triangle into two symmetrical... | |
 | George Albert Wentworth - 1904 - 496 σελίδες
...ACD are mutually equiangular. § 810 • ' • £- B = £- CQED 813. COR. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the base bisects the vertical angle, is perpendicular to the base, and divides the triangle into two symmetrical... | |
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In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side. 
