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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. "
New Plane and Spherical Trigonometry - Pągina 95
per Webster Wells - 1896 - 126 pągines
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The Essentials of Geometry

Webster Wells - 1899 - 180 pągines
...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. 625. Two lunes on...
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Solid Geometry, Volums 6-9

George Albert Wentworth - 1899 - 246 pągines
...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...
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Plane and Solid Geometry

George Albert Wentworth - 1899 - 500 pągines
...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...
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Plane and Solid Geometry

William James Milne - 1899 - 396 pągines
...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...
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Solid Geometry, Volums 6-9

George Albert Wentworth - 1902 - 248 pągines
...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...
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Plane and Solid Geometry

George Albert Wentworth - 1904 - 496 pągines
...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...
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Treatise on Elementary Geometry

William Chauvenet - 1905 - 336 pągines
...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...
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 466 pągines
...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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Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - 1908 - 358 pągines
...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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Spherical Trigonometry: For Colleges and Secondary Schools

Daniel Alexander Murray - 1908 - 132 pągines
...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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