 If two triangles have two sides of 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 than the third side of the second.  Elements of Plane and Solid Geometry - Page 40by George Albert Wentworth - 1882 - 398 pagesFull view - About this book
 | George Bruce Halsted - Geometry - 1896 - 208 pages
...common side the angle in one triangle equals the exterior angle in the other. 302. Corollary. If two triangles have two sides of the one equal respectively to two sides of the other, and the angles opposite to one pair of equal sides equal, then, if the angles opposite the other pair... | |
 | George Albert Wentworth - Geometry - 1892 - 468 pages
...the same points). .-.the two A coincide, and are equal. UED PROPOSITION XXVII. THEOREM. 152. // two triangles have two sides of the one equal respectively to two sides of the oiher, but the included angle of the first greater than thc included angle of the second, then the... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...upon it. PRINCETON COLLEGE, June, 1891. 1. Prove that if two triangles have two sides of the one equal to two sides of the other, but the included angle...will be greater than the third side of the second. Also prove the converse. 2. Prove that a straight line perpendicular to a diameter of a circle at its... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...coincide throughout, and are equal, PROPOSITION XXVIII. THEOREM. 89. If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of tJie first greater than the included angle of the second, the third side of the first is greater than... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...of a regular hexagon inscribed in a circle whose radius is 11.529 inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively,...angle of the second, then the third side of the first is greater than the third side of the second. Prove this ; and state the converse. 2. Prove that lines... | |
 | Joe Garner Estill - 1896 - 186 pages
...of a regular hexagon inscribed in a circle whose radius is 11.529 inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively,...angle of the second, then the third side of the first is greater than the third side of the second. Prove this ; and state the converse. 2. Prove that lines... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...what order the sides are arranged ? PROPOSITION XXV. THEOREM 02, If two triangles have two sides of one equal respectively to two sides of the other,...angle of the second, then the third side of the first is greater than the third side of the second. GIVEN— two triangles ABC and A'BC having AB—AB and... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...respectively equal are equal.] If A <A' then would BC<B'C. . § 92 [If two triangles have two sides of one equal respectively to two sides of the other,...angle of the second, then the third side of the first is greater than the third side of the second ] But both these conclusions contradict the hypothesis.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...the other. 151. Cor. Two right triangles are equal if their legs are equal, each to each. 152. If two triangles have two sides of the one equal respectively...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... | |
 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...greater side of every spherical triangle has the greater angle opposite to it. 37. If two spherical triangles have two sides of the one equal respectively to two sides of the other and the angles opposite one of these pairs of equal sides equal, the angles opposite the other pair... | |
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