 | George Albert Wentworth - Geometry - 1899 - 500 pages
...= 60°. .'. &ACD is equilateral (why ?), and AD, half of AB = AC. .'.AB-2AC. ' •B Ex. 23. If two triangles have two sides of the one equal, respectively, to two sides of the other, and the angles opposite two equal sides equal, the angles opposite the other two equal sides are equal... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...Zc = 60°. .'. &ACD is equilateral (why ?), and AD, half of AB = AC. .-.AB = 2AC. " K Ex. 23. If two triangles have two sides of the one equal, respectively, to two sides of the other, and the angles opposite two equal sides equal, the angles opposite the other two equal sides are equal... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...angle included by a side and the base produced. PROPOSITION XXVIII. THEOREM. 154. If two triangles hace two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third... | |
 | William James Milne - Geometry - 1899 - 404 pages
...> DB ; that is, AB > DB or DB. Proposition XXXI 130. Construct two triangles that have two sides of one equal respectively to two sides of the other, but the third sides unequal. How do the angles opposite the third sides compare in size? •— Theorem. If two sides... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...DB or DE. Therefore, etc. QED Proposition XXXT 130. Construct two triangles that have two sides of one equal respectively to two sides of the other, but the third sides unequal. How do the angles opposite the third sides compare in size? Theorem. If two sides of... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 120 pages
...first is greater than the third side of the second; and conversely, if two triangles have two sides of one equal, respectively, to two sides of the other,...the first greater than the third side of the second, the angle opposite the third side of the first is. greater than the angle opposite the third side of... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...first is greater than the third side of the second; and conversely, if two triangles have two sides of one equal, respectively, to two sides of the other,...the first greater than the third side of the second, the angle opposite the third side of the first is. greater than the angle opposite the third side of... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...third side of the second; and conversely, if two triangles have two sides of NON-EUCLIDEAN GEOMETRY one equal, respectively, to two sides of the other,...the first greater than the third side of the second, the angle opposite the third side of the first is. greater than the angle opposite the third side of... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 113 pages
...of the second ; and conversely, if two triangles have two sides of one equal, respectively, to tivo sides of the other, but the third. side of the first greater than the third side of the second, the angle opposite the third side of the first is. greater than the angle opposite the third side of... | |
 | Arthur Schultze - 1901 - 260 pages
...impossibility of all except one. (Compare Props. V and VIII.) PROPOSITION XXX. THEOREM 128. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the... | |
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... the third side of the first is greater than the third side of the second. 
