 | James Howard Gore - Geometry - 1899 - 266 pages
...isosceles spherical triangle, the angles opposite the equal sides are equal. lj f (f -' I ' I ' 509. The 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... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...ABD and A CD are mutually equilateral. .'.A ABD and A CD are mutually equiangular. § 810 813. 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... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...mutually equilateral. .'. A ABD and ACD are mutually equiangular. § 810 .'.ZB = ZC. 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... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...equilateral. .-.A ABD and 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... | |
 | William Chauvenet - 1905 - 336 pages
...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.—Tf two angles of a spherical... | |
 | Daniel Alexander Murray - 1906 - 466 pages
...and 4. 6. (3) In an isosceles spherical triangle the angles opposite the equal sides are equal. (4) The 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. (5) If two angles of a spherical... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...homologous A of equal A." QED 174 COROLLARY 1. The straight line drawn from the vertex of an isosceles triangle to the middle point of the base bisects the vertical angle and is perpendicular to the base. 175 COROLLARY 2. An equilateral triangle is equiangular. EXERCISES... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...homologous A of equal A." QED 174 COROLLARY 1. The straight line drawn from the vertex of an isosceles triangle to the middle point of the base bisects the vertical angle and is perpendicular to the base. 175 COROLLARY 2. An equilateral triangle is equiangular. EXERCISES... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...(Explain.) .-. they are mutually equiangular and symmetrical (?) (766). ... ZB = ZC(?) (749). 769. COR. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the midpoint of the base bisects the vertex. angle and is perpendicular to the base. (See 749.) 770. THEOREM.... | |
 | Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...and 4. 6. (3) In an isosceles spherical triangle the angles opposite the equal sides are equal. (4) The 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. (5) If two angles of a spherical... | |
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Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle. 
