 | 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 third... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...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,...the first greater than the third side of the second, then the angle opposite the third side of the first is greater than the angle opposite the third side... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...AP+PB>AY. Ax. 9 .'. AB>AY. , Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle greater than the third side of the second, then the angle opposite the third side of the first... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...Ill, § 61) AOAC'. (Ax. VII, § 82) 118. THEOREM. // in two triangles two sides of the one are equal to two sides of the other but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...Ill, § 61) AOAC1. (Ax. VII, §82) 118. THEOREM. // in two triangles two sides of the one are equal to two sides of the other but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than... | |
 | 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... | |
 | 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 of the... | |
 | 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... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...impossible. 7. .-. 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... | |
 | 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...the first greater than the third side of the second, then the angle opposite the third side of the first is greater than the angle epposite the third side... | |
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If two triangles have two sides of one equal, respectively, to two sides of the other... 
