 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, the third side of the first is greater than the third side of the second...  A Text-book of Geometry - Page 40by George Albert Wentworth - 1893 - 437 pagesFull view - About this book
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...equals be taken from equals, the remainders are equal.) .-. t\ABC ^ &DFG. THEOREM XXIV. 177. 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 the angles opposite to the other pair... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...angle of an equiangular triangle? 31 PROPOSITION XXIII. THEOREM. 86. If two triangles have two sides of one equal respectively to two sides of the other,...first greater than the included angle of the second, the third side of the first is greater than the third side of the second. In the triangles ABC and... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...than the third side of the second. 690. From 688 and 689, by 33, Rule of Inversion, if two spherical triangles have two sides of the one equal respectively to two sides of the other, the included angle of the first is greater than, equal to, or less than, the included angle of the... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...drawn from the vertex to the middle point of the third side. * Proposition 29. Theorem. 119. If two triangles have two sides of the one equal respectively...to two sides of the other, but the included angle in the first triangle greater than the included angle in the second, then the third side of the first... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...the vertex to the middle point of the third side. Proposition 29. Theorem. 119. If tii-o Iriunifle* have two sides of the one equal respectively to two sides of the, other, but the included angle in the first triangle greater than the included angle in the second, then the third side of the first... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...(Ax. 8) Much more . • . Z EFH > Z EHF. .-. EH>EF. Proposition 3O. Theorem. 120. Conversely, if two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle greater than the third side of the second, then the included angle... | |
 | George Irving Hopkins - Geometry, Plane - 1891 - 204 pages
...or, a method similar to that in 122 may be employed. 123 (a). If two triangles have the two sides of one equal respectively to two sides of the other, but the included angles unequal, then the third side of that triangle having the greater included angle is longer than... | |
 | 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... | |
 | 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... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...angle of 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...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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