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" ... 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. "
The school Euclid: comprising the first four books, by A.K. Isbister - Side 27
av Euclides - 1862
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Treatise on Trigonometry ...

William Ernest Johnson - 1889 - 574 sider
...equal. 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,...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...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...
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Logic, Volum 2

Christoph Sigwart - 1895 - 604 sider
...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...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 sider
...greater base shall be greater than the angle contained by the sides equal to them, of the other triangle. Let ABC, DEF be two triangles, which have the two...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...
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Introduction and books 1,2

Euclid - 1908 - 550 sider
...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...
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Geometry and the Visual Arts

Daniel Pedoe - 1983 - 338 sider
...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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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 320 sider
...angles respectively, namely those which the equal sides subtend. Let ABC, DEF\>e two triangles having the two sides AB, AC' equal to the two sides DE, DF respectively, namely, AB to D^and AC to DF, and the angle BAG equal to the angle EOF (Fig. 1.4). I...
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the first book of euclid's elements with a commentary

164 sider
...enclosed by the equal straight lines greater than the angle. (ii) Let ABC, DEF be two triangles hacing 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 base BC be greater than the base EF. / say that the angle BAG...
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The Thirteen Books of Euclib's Elements.

Euclid - 454 sider
...angles equal which are contained by the equal straight lines. 5 Let ABC, DBF 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 them have the base BC equal 10 to the base EF...
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