 | John Macnie - Geometry - 1895 - 386 pages
...BC to be the greatest side, and drawing AD perpendicular to BC. PROPOSITION XX. THEOREM. 90.. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, the greater angle is subtended by a greater base. Given : Two triangles... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...III on I, Reflex ZAB3C>ZCB3A>ZCB1A. 7. But ZB1B3C =ZCB1B3. 8. .'.ZABuB1 >ZB3BlA. Theorem 11. If two triangles have two sides of the one respectively equal to two sides of the other, bat the third sides unequal, then the included angles are unequal, the greater angle being opposite... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...placed among the axioms to be memorized, but it is equally an axiom nevertheless. ] Theorem 10. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then the third sides are unequal, the greater side being opposite... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...PROPOSITION XXVI. THEOREM 93. If two triangles have two sides of one equal 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 side of the first is greater than the angle opposite the third side... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...PROPOSITION XXVI. THEOREM 93. If two triangles have two sides of one equal 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 side of the first is greater than the angle opposite the third side... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...THEOREM. 79. 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 included angle of the first is greater than the included angle of the second. Let ABQ, XYZ^... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...Prop. XXVIII.) 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 is greater than the included angle of the second. Given, in A ABC and DEF, AB = DE, AC = DF, and BC... | |
 | 1898 - 830 pages
...triangle and the external bisector of the other base angle is equal to half the vertical angle. 6. If two triangles have two sides of the one respectively equal to two sides of the other, but their bases unequal, their vertical angles are unequal. Give a direct proof of this. 7. Prove geometrically... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...Prop. XXVIII.) 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 is greater than the included angle of the second. Given, in A ABC and DEF, AB = DE, AC = DF, and BC... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...Prop. XXVIII.) 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 is greater than the included angle of the second. B *F Given, in A ABC and DEF, AB = DE, AC = DF, and... | |
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... 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 of the first is. 
