 | Eli Todd Tappan - 1864 - 288 pàgines
...equilateral, rectangular, bir ectangular, and trirectangular, according to their triedrals. 771. Corollary — The sum of the angles of a spherical triangle is greater than two, and less than six right angles (591). equal to its symmetrical, and has equal angles opposite... | |
 | Eli Todd Tappan - 1868 - 444 pàgines
...equilateral, rectangular, birectangular, and trircctangular, according to their triedrals. 771. Corollary — The sum of the angles of a spherical triangle is greater than two, and less than six right angles (591). equal to its symmetrical, and has equal angles opposite... | |
 | William Chauvenet - 1871 - 380 pàgines
...the centre of the sphere is less than four right angles (VI. 70). PROPOSITION XXIX.— THEOREM. 87. The sum of the angles of a spherical triangle is greater than two, and less than six, right angles. For, denoting the angles of a spherical triangle by A, B, C,... | |
 | William Chauvenet - 1872 - 382 pàgines
...the centre of the sphere is less than four right angles (VI. 70). PROPOSITION XXIX.—THEOREM. 87. The sum of the angles of a spherical triangle is greater than two, and less than six, right angles. For, denoting the angles of a spherical triangle by A, B, C,... | |
 | Eli Todd Tappan - 1873 - 288 pàgines
...equilateral, rectangular, birectangular, and trirectangular, according to their triedrals. 771. Corollary. — The sum of the angles of a spherical triangle is greater than two, and less than six right angles (591). 772. Corollary An isosceles spherical triangle is 1 equal... | |
 | 1873 - 192 pàgines
...triangular pyramid is a third part of a triangular prism of the same base and altitude. 5. Prove that the sum of the angles of a spherical triangle is greater than two right angles. 6. Given the radius of a sphere = 2 inches. Compute the volume and convex surface.... | |
 | Harvard University - 1876 - 554 pàgines
...opposite to it in the other. 8. Any side of a spherical triangle is less than the sum of the other two. 9. The sum of the angles of a spherical triangle is greater than two and less than six right angles. 10. The volume of a spherical pyramid is equal to the area of its... | |
 | George Albert Wentworth - 1877 - 436 pàgines
...relations polar triangles are often called supplemental triangles. PROPOSITION XVIII. ТНЕOДЕМ. 732. The sum of the angles of a spherical triangle is greater than two, and less than six, right angles. Let ABC be a spherical triangle. We are to prove ZA + ZB + ZC... | |
 | William Frothingham Bradbury - 1877 - 262 pàgines
...theorem AC <^ AB, which is also contrary to the hypothesis. Hence the angle ABC>C. THEOREM XV. 37 1 The sum of the angles of a spherical triangle is greater than two, and less than six, right angles. The sum of the arcs which measure the angles of a spherical triangle... | |
 | Elias Loomis - 1877 - 458 pàgines
...is greater than the angle ABC. Therefore, in a spherical triangle, etc. PROPOSITION XVII. THEOREM. The sum of the angles of a spherical triangle is greater than two, and less than six right angles. Let A, B, and C be the angles of a spherical triangle. The arcs... | |
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The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC... 
