If two triangles have two sides of one equal, respectively, to two sides of the other... Plane Geometry - Page 86by Webster Wells, Walter Wilson Hart - 1915 - 309 pagesFull view - About this book
| Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...and the greater angle lies opposite the greater side . 105 THEOREM XXII 132. If two triangles hare two sides of one equal respectively to two sides of the other, and the included angle of the first greater than the included angle of the other, the third side of... | |
| Geometry, Plane - 1911 - 192 pages
...2\/3 inches made by a chord which is 3 inches from the centre of the circle. SEPTEMBER, 1904 1. (a) If two triangles have two sides of one equal, respectively, to two sides of the other and the included angles unequal, the triangle with the greater included angle has the greater third... | |
| William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...one equal, respectively, to the three sides of the other. 132. If two triangles have two sides of the 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... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...perimeter of the octagon is greater than the perimeter of the square. PROPOSITION XXXI. THEOREM 231. 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... | |
| William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...perimeter of the octagon is greater than the perimeter of the square. PROPOSITION XXXI. THEOREM 231. 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... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...paragraph, as in Prop. XLIV. This form will be called outline of proof. PROPOSITION XIX. THEOREM 172. 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... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...ZACD>DCB, then AOD-R. PROPOSITION XXXII. THEOREM be taken 133. If two triangles have two sides of the one equal respectively to two sides of the other,...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXXI.]... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...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,...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXXI.]... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...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,...the first greater than the third side of the second, PLANE GEOMETRY then the included angle of the first is greater than the included angle of the second.... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...angle is opposite the greater side. 79. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. 80. Corollary 2. If from... | |
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