 | William Chauvenet - 1905 - 336 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.—Tf two... | |
 | Daniel Alexander Murray - 1906 - 466 σελίδες
...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 triangle are unequal,... | |
 | Daniel Alexander Murray - 1908 - 132 σελίδες
...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 triangle are unequal,... | |
 | Daniel Alexander Murray - 1908 - 358 σελίδες
...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 triangle are unequal,... | |
 | Elmer Adelbert Lyman - 1908 - 364 σελίδες
...means of Theorem XIV, Book VI. 4. The base angles of an isosceles spherical triangle are equal. 298 5. The arc drawn from the vertex of an isosceles spherical triangle to the midpoint of the base bisects the vertical angle and is perpendicular to the base. 6. If two angles... | |
 | Clara Avis Hart, Daniel D. Feldman - 1912 - 220 σελίδες
...the vertex of an isosceles spherical triangle is perpendicular to the base and bisects it. Ex. 1527. The arc drawn from the vertex of an isosceles spherical triangle to the mid_point of the base bisects the vertex angle and is perpendicular to the base. Ex. 1528. State and... | |
 | Webster Wells, Walter Wilson Hart - 1916 - 490 σελίδες
...symmetrical if the equal 1x1rts occur in opposite orders. Ex. 98. Prove that 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. PROPOSITION XXV. THEOREM... | |
 | Charles Austin Hobbs - 1921 - 216 σελίδες
...from the vertex of the A to the mid-point of the base, and consult Prop. 334. COR. The great circle arc drawn from the vertex of an isosceles spherical triangle to the mid-point of base bisects the vertical angle and is perpendicular to the base. * Proposition 337 Theorem... | |
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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. 
