 If two triangles have two sides of 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 first is greater than the third side of the second.  The Essentials of Geometry (plane) - Page 39by Webster Wells - 1898 - 242 pagesFull view - About this book
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 120 pages
...third side of the 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, but the third side of the first greater than the third side of the second, the angle opposite the third side... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...third side of the 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, but the third side of the first greater than the third side of the second, the angle opposite the third side... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...(Compare Props. V and VIII.) 44 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 first... | |
 | Arthur Schultze - 1901 - 260 pages
...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 first... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...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 first... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...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 first... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...sides of the other. § 53. (4) Each a right angle, and the hypotenuse and a side of one equal, (5) Two sides of one equal, respectively, to two sides of the other and the angles opposite a pair of equal sides also equal §§81,82. (6) Two angles of one equal, respectively,... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...is greater than BF That is, BC is greater than E F. THEOREM XXVIII. 93. Conversely, if two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the first... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...hypothesis. Also if ZB were less than /.E, side AC would be less than side DF, Art. 107. (if two A have two sides of one equal, respectively, to two...sides of the other, but the included Z of the first greater than the included /. of the second, then the third side of the first is greater than the third... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...with one side. What kind of a triangle is this ? v „ PROPOSITION XVI. THEOREM 107. If two triangles have two sides of 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 first... | |
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