 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.  Plane Geometry - Page 132by John Charles Stone, James Franklin Millis - 1916 - 278 pagesFull view - About this book
 | 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... | |
 | 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...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.] But both these conclusions... | |
 | 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...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. GIVEN— two triangles... | |
 | Joe Garner Estill - 1896 - 214 pages
...in a circle whose radius is 11.53!) inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively, to two sides of the other,...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. Prove this ; and state... | |
 | Joe Garner Estill - 1896 - 186 pages
...in a circle whose radius is 11.529 inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively, to two sides of the other,...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. Prove this ; and state... | |
 | 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... | |
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