 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 is greater than the third side of the second.  A Geometry Reader - Page 234by Julius J. H. Hayn - 1925 - 316 pagesFull view - About this book
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
.... QED REASONS 1. In this case only three suppositions are admissible. 2. If two A have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included Z. of the second, then the third side of the first > the third side of... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...of a triangle to the mid-point of the opposite side is called a median of the triangle. EXERCISE 16 1. 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, David Eugene Smith - Geometry - 1913 - 496 pages
...of a triangle to the mid-point of the opposite side is called a median of the triangle. EXERCISE 16 1. 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...ZB, and a point D in AB be taken so that ZACD>DCB, then AD>DB. PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the included angle of the first... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...and a point D in ^1.8 be taken so that ZACD>DCB, then AD>DB. PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, PLANE GEOMETRY then the included... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...the A KP8 and A'Pi, /iP is common, PS = PL, (3) but KL < KS, (ยง 96) and .-. Z. KPL < Z. KPS. (If two triangles have two sides of the one equal respectively to two sides of the other but the third side of the first less than the third side of the second, then the angle opposite the third side... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...equal. Prove by the indirect method. 258. Theorem. // two triangles have two sides of one equal :r 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 side of the first... | |
 | William Betz - Geometry - 1916 - 536 pages
...self-evident. If F falls within the triangle DEC, the proof is similar to the one given above. 232. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the angle opposite the third... | |
 | Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...twice tl.e first side and that the third side shall be equal to the sum of the other two sides. 11. Two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle is 8 units less than twice third side of the second. If the two triangles... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...twice tl.e first side and that the third side shall be equal to the sum of the other two sides. 11. Two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle is 8 units less than twice third side of the second. If the two triangles... | |
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