 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, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...given condition, .'. BOCA. QED PROPOSITION XXIII. THEOREM 115. 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... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...impossible : C B' B RECTILINEAR FIGURES. 117. THEOREM. // in two triangles two sides of the one are equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side of the first is greater than... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...are impossible: BB RECTILINEAR FIGURES. 117. THEOREM. // in two triangles two sides of the one are equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side 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...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 A ABC and... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...is greater than the angle opposite the less side. (6) When the angles are in different triangles : 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 angle opposite the third... | |
 | David Eugene Smith - Geometry - 1911 - 370 pages
...pupils, and it has several applications in geometry. THEOREM. 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 YY the second, then the third side of the first is greater... | |
 | 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... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...perimeter of the octagon is greater than the perimeter of the square. PROPOSITION XXXI. THEOREM 231. 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. F Given the triangles... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...perimeter of the octagon is greater than the perimeter of the square. PROPOSITION XXXI. THEOREM 231. 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 the triangles... | |
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