 ... shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz.  Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... - Page 189by Pierce Morton - 1830 - 272 pagesFull view - About this book
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...shall be greater than the angle contained by the 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, namely, AB to DE, and AC to DF, but the base BC greater than the base EF: the angle BAC shall be greater... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...angles are equal, each to each ; viz., those to which the equal sides are opposite. Let ABC, DEF be two triangles, which have the two sides AB, AC equal to...DE, DF, each to each; viz., AB to DE, and AC to DF; and the angle BAC equal to the angle EDF. Then the base BC is equal to the base EF ; the triangle ABC... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...shall be greater than the angle contained by the 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, namely, AB to DE, and AC to DF, but the base BO greater than the base EF: the angle BAG shall be greater... | |
 | Stewart W. and co - 1884 - 272 pages
...of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF be two triangles which have the two sides, AB, AC, equal to the two DE, DF, each to each, viz.', AB equal to DE, and AC to DF ; but the angle BAC greater than the angle... | |
 | William Ernest Johnson - Plane trigonometry - 1889 - 574 pages
...equal. Euclid omits one case, which may be now considered. ะก' 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 pages
...than the angle contained by the sides, equal to them, of the other. Let ABC and DEF be two As having the two sides AB, AC equal to the two sides DE, DF respectively, but the base BC greater than the base EF, then L BAC> L EDF. C For L BAC either= L EDF... | |
 | Christoph Sigwart - Logic - 1895 - 604 pages
...the 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 lo a constructive... | |
 | Seymour Eaton - 1899 - 362 pages
...of that which has the greater angle shall be greater than the base 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 ; namely, AB to DE and AC to DF, but the angle BAC greater than the angle EDF ; then the base BC shall... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...contained by the equal straight lines greater than the other. I. Let ABC, DEF be two triangles having the two sides AB, AC equal to the two sides DE, DF respectively, namely AB to DE, and AC to DF; and let the base BC be greater than the base EF; I say... | |
 | Daniel Pedoe - Mathematics - 1983 - 338 pages
...respecttvely, namely those which the equal sides subtend. Let ABC, DEF be the two triangles, having the two sides AB, AC equal to the two sides DE, DF respectively, namely AB to DE and AC to DF [Figure 56], and the angle BA C equal to the angle ED F.... | |
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