 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
 | Webster Wells - Geometry - 1894 - 400 pages
...for GH its equal CH, we have EF. PROPOSITION XXIX. THEOREM. 90. (Converse of Prop. XXVIII.) If tivo triangles have two sides of one equal respectively...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. In the triangles... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...until they meet, and find the areas of the two triangles of which the trapezoid is the difference. 171. If two triangles have two sides of one equal respectively to two sides of another and the included angles supplementary, the triangles are equal in area. PROPOSITION XI. THEOREM.... | |
 | Webster Wells - Geometry - 1894 - 256 pages
...ft. 3 in., what is the homologous altitude of the second ? 21. Two triangles are equivalent when they have two sides of one equal respectively to two sides of the other, and the included angles supplementary. 22. One diagonal of a rhomhus is five-thirds of the other, and... | |
 | Webster Wells - Geometry - 1894 - 398 pages
...are equal.] (§66.) But, BH + Gif > BG. PROPOSITION XXIX. THEOREM. 90. (Converse of Prop. XXVIII.) If two triangles have two sides of one equal respectively to two shies of the other, but the third side of the first greater than thk third side of the second, the... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...50.) Whence, the point A falls at D. PROPOSITION XXVIII. THEOREM. 89. If two triangles have two aides 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 the first... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...two sides and the included angle respectively equal are equal.] UA<A' then would .#£.<£' <7. §92 [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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...Proposition XXIV. does it matter in what order the sides are arranged ? PROPOSITION XXV. THEOREM 92, 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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...A. To PROVE angle SAC<_ angle SAB. Take AB = AC and draw SC and SB. Then the triangles SAC and SAB have two sides of one equal respectively to two sides of the other. But the third side SC of one is less than the third side SB of the other. § 5 36 Therefore angle SA C< angle SAB. §... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...BC'<BX+XC. Or BC'<BC. QED 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 thc third side of the second, then the angle opposite the third side of the first is greater than the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...through A, To PROVE angle SAC<^ angle SAB. Take AB^ACznd draw SC and SB. Then the triangles SAC and SAB have two sides of one equal respectively to two sides of the other. But the third side SC of one is less than the third side 5.5 of the other. § 536 Therefore angle S^C<angle SAB. §93... | |
| |
