 | 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 - 1896 - 186 pages
...inscribed 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...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 - 214 pages
...inscribed 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...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 - 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.... | |
 | 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... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...right 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... | |
 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...other, the two triangles are equal or symmetrical. 27. If two convex spherical triangles have two sides of the one equal respectively to two sides of the other, but the angle contained by these sides be greater in one triangle than in the other, the triangle which has... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...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...angle of the second, then the third side of the first is greater than the third side of the second. Let the triangles ABC and XYZ have AB = XY, AC = XZ,... | |
 | 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... | |
 | Mathematics - 1898 - 228 pages
...the area of a segment whose arc is 60°. SEPTEMBER 1901. PLANE. 1. 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. State and prove the converse theorem. 2. To divide a... | |
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... greater than the included angle of the second, then the third side of the first is greater than the third side of the second. 
