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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 10
por John Playfair - 1806 - 311 páginas
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 426 páginas
...the greater base, 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...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...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 266 páginas
...the other ; the base 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...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volumen1

Euclides - 1884 - 182 páginas
...themselves shall be equal, and of their other angles those shall be equal to which equal sides are opposite. Let ABC, DEF be two triangles which have the two sides AB, AC. and the angle BAC which they contain, respectively equal to the two sides DE, DF, and the angle EDF...
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Treatise on Trigonometry

William Ernest Johnson - 1889 - 574 páginas
...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 páginas
...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, Volumen2

Christoph Sigwart - 1895 - 606 páginas
...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 páginas
...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 páginas
...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 - 340 páginas
...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 páginas
...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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