 | William Chauvenet, William Elwood Byerly - 1887 - 331 sider
...included angle of the other, In the triangles ABC and DEF, let the angle A be equal to the angle D, the side AB equal to the side DE, and the side AC equal to the side DF. 1st. When the parts of the two triangles are in the same order, ABC can be applied to... | |
 | William Ernest Johnson - 1889 - 574 sider
...Euclid omits one case, which may be now considered. С' Let ABC, DE F be two triangles, having the two sides AB, AC equal to the two sides DE, DF, each to each; and likewise the angle ABC, opposite to AC, equal to the angle DEF, opposite to DF. The angles ACB,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...each, namely those to which the equal sides are opposite. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, namely AB to DE, and AC to DF, and the angle BAC equal to the angle EDF: the base BC shall be equal... | |
 | William Chauvenet - 1893 - 340 sider
...included angle of the other. In the triangles ABC and DBF, let the angle A be equal to the angle D, the side AB equal to the side DE, and the side AC equal to the side DF. 1st. When the parts of the two triangles are in the same order, ABC can be applied to... | |
 | Christoph Sigwart - 1895 - 604 sider
...deduction takes place are first determined ; the hypothesis of the proposition (If two triangles have the two sides AB, AC equal to the two sides DE, DF, each to each, and if the angles formed by them are also equal) is from a logical point of view equivalent to a constructive... | |
 | Robert Griffith Hatfield - 1895 - 774 sider
...Let ABC (Fig. 253) and D £ F be two given triangles, having the angle at A equal to the angle at D, the side AB equal to the side DE, and the side AC equal to the side DF; then the third side of one, BC, is equal to the third side of the other, £ F; the angle... | |
 | Seymour Eaton - 1899 - 362 sider
...contained by the sides equal to them, of the other triangle. Let ABC, DEF be two triangles, which have the two sides AB, AC equal to the two sides DE, DF, each to each, namely, AB to DE, and AC to DF, but the base BC greater than the base EF; then the angle BAC shall... | |
 | Association for the Improvement of Geometrical Teaching - 1903 - 342 sider
...has the greater angle being greater than the base of the other. Let ABC, DEF be two triangles having the side AB equal to the side DE, and the side AC to the side DF, but the angles BAC, EDF unequal, EDF being greater than BAG: A o then shall the base... | |
 | 164 sider
...angle, they will have also the base greater than the base. (ii) Let ABC, DEF be two triangles having the two sides AB, AC equal to the two sides DE, DF, each to each — AB to DE, and AC to DF. And let the angle at A be greater than the angle at D. I say that the base... | |
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... sides equal to them of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB... 
