 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...the middle points of AB and CD. BF and ED trisect the diagonal A G. 104. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 105. The diagonals divide a parallelogram... | |
 | George Albert Wentworth - 1881 - 266 pages
...equiangular triangle is also equilateral. PROPOSITION XXXI. 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 greater than the included angle of the second, then the third side... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...Comparing (2) and (3), DF> D0', or DF> AC. QED 115. Corollary. Conversely, if two triangles have two sides of the one equal respectively to two sides of the other, tut the third sides unequal, the angle opposite the greater of the unequal sides will be the greater.... | |
 | Euclides - 1883 - 176 pages
...each side of the triangle, parallel to the other side, shall be equal. 199. If two triangles have two sides of the one equal respectively to two sides of the other, and the angle contained by the two sides of the one the supplement of the angle contained by the two sides... | |
 | Stewart W. and co - 1884 - 272 pages
...less. IV. — If two triangles have two sides of the one equal to two sides of the other, each to each; and likewise the angles contained by those sides equal to one another; thcy shall likewise have theirbases, or third fides, equal; and the two triangles shall be equal; and... | |
 | Public schools - 1884 - 634 pages
...equivalent to the sum of the squares on the other two sides. 7. Prove that if two triangles have two sides of the 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... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...angle.) And for the same reason, in A CFB the sum 44 THEOREM XVIII. 159. If two triangles have two sides of the 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... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...same reason, in A CFB £ AFD> 4 B, ;. 4 ADC >£B. 44 THEOREM XVIII. J59. If tw° triangles have two sides of the 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... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...«. ED \ 46 PLANE GEOMETRY. — BOOK I. PROPOSITION XXVII. THEOREM. 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 greater than the included angle of the second, then the third side... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...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... | |
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If two triangles have two sides of the 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.... 
