 | 1874 - 834 pagina’s
...the reductio ad absurdum, may be demonstrated directly as follows: Theorem:— If two triangles have two sides of the one equal to two sides of the other, each to each, but the bases unequal, the angle contained by the sides of that which has the greater base will be... | |
 | Alfred Hix Welsh - 1883 - 326 pagina’s
...1. But GH + BH > BG Th. III. .: BC> BG. But EF = B G. .-. BC> EF. Therefore, if two triangles have two sides of the one equal to two sides of the other, each to each, but the included angle of the first greater than the included angle of the second, the third side of... | |
 | Stephen Thomas Hawtrey - 1884 - 184 pagina’s
...oiher, we have shown, in the case of these two particular triangles, that—in consequence of their having two sides of the one equal to two sides of the other each to each, and the included angles being equal—B will come on E, and 0 on F. We now go forward : Look at, and for the present confine... | |
 | 1884 - 536 pagina’s
...another triangle, unequal to the first, but having eqnal angles. There remains only the case of two triangles having two sides of the one equal to two sides of the other each to each, and an angle opposite one side of one triangle equal to the angle opposite to the equal side of the other.... | |
 | Woolwich roy. military acad - 1884 - 148 pagina’s
...Distinguish between equal triangles and triangles which are equal in all respects. i. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle which is contained by the two sides of the one shall be... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 pagina’s
...those sides is called the vertical angle, the third side the base. THEOR. 5. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles included fcy these sides equal, then the triangles are identically equal,... | |
 | University of Cambridge - 1884 - 624 pagina’s
...and what is meant by dividing л straight line in extreme and mean ratio? 2. If two triangles hare two sides of the one equal to two sides of the other, each to each, and have also the angles contained by those sides equal to another, they shall also have their bases or... | |
 | Euclides - 1884 - 94 pagina’s
...1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PROPOSITION XXIV. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two... | |
 | Euclides - 1884 - 214 pagina’s
...equal to the same magnitude are equal to one another. PROPOSITION XXV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle contained by the sides of that... | |
 | F. B. Stevens - 1884 - 202 pagina’s
...vertex of the opposite angle to the base, or to the base produced. (LOOMIS.) 1. If two triangles have two sides of the one equal to two sides of the other, each to each, but the included angles unequal, the base of that which has the greater angle will lie greater than... | |
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If two triangles have two sides of the one equal to two sides of the... 
