 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...1890. 1. Two angles whose sides are perpendicular each to each are either equal or supplementary. 2. 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... | |
 | 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 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... | |
 | 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... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...triangles are equal if their legs are equal, each to each. 152. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater... | |
 | 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... | |
 | Education - 1898 - 558 pages
...(a) isosceles, (&) equilateral, (c) similar, (d) equivalent. 2. Demonstrate: If two triangles have 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 is greater than the third side of the second. 3. Demonstrate: The line... | |
 | 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... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...3, page 23, using §§ 73 und 77a. 2. Restate 8 76a. PROPOSITION XIII. THEOREM. 78. If two trianyles have two sides of one equal respectively to two sides of the oiJier, but the included angle of the first greater than the included angle of the second, then the... | |
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If two triangles have two sides of one equal respectively to two sides of the other... 
