 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.  Secondary-school Mathematics - Page 177by Robert Louis Short, William Harris Elson - 1910Full view - About this book
 | Webster Wells - Geometry - 1908 - 336 pages
...equally distant from sides AB and BC, and line BP. To Prove Z PBM = Z PBN. PROP. XXIX. THEOREM 100. 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, the third side of... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...the homologous parts are equal.] (§ 48) 4. Again, if we suppose ZQ < ZF, c would be < / [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, the third side of the first is > the... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...EG + GF. Ax. 2 But EG + GC' > EC'. § 10 (a) Hence EG + GF, or EF > EC". PROPOSITION XXV. THEOREM. 132. 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, then the angle opposite... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...131. 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. D G Given As... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 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... | |
 | Geometry, Plane - 1911 - 192 pages
...are cut by a third so as to make the alternate interior angles equal, the two lines are parallel. 2. 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, the third side of... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...than angle DAB, prove AC greater than BD. A PROPOSITION XX. THEOREM (Converse of Prop. XIX) 173. // 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, then tlIe angle opposite... | |
 | 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... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 220 pages
...Any side of a triangle is less than the sum and greater than the difference of the other two. 173. 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, then the angle opposite... | |
 | 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... | |
| |
