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" 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 sides equal to them, of the other ; the base of that which has... "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Seite 30
von Euclides - 1838
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 Seiten
...each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides, equal to them, of the other, the base of that triangle which has the greater angle is greater than the base of the other. 5. The angles at the base...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 Seiten
...shall the other sides be equal, each to each; and the third angle of the one equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, viz. ABC to DEF, and BCA to EFD; also one...
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Chambers's information for the people, ed. by W. and R. Chambers, Band 2

Chambers W. and R., ltd - 1842
...be respectively equal to those of another, the triangles are equal in every respect. Let ABC, DEI1', be two triangles, which have the two sides AB, AC, equal to the two sides I > K, DF, neb to each, namely, All to DE, and A AC to DF, and the angle l\ t I \ BACequal to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 Seiten
...shall the other side be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD, also one side equal...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, viz. ABC to DEF; and BCA to EFD; also one...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 317 Seiten
...but the angle contained by the two sides of the one greater than the angle contained by the two sides of the other ; the base of that which has the greater...angle shall be greater than the base of the other. the base BC is equal (4. 1.) to the base EG ; and because DG is eqnal to DF, the angle DFG is equal...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 Seiten
...that which has 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 sides AB, AC equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF; but the base CB greater than the base...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...the other sides be equal, each to each, and also the third angle of the one equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BC A equal to the angles DEF, EFD, each to each, namely ABC to DEF, and BCA to EFD ; also...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 Seiten
...(3) their other 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, sition and in the scholium, will be effected simply by means of the compasses, as was pointed out in...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...each, but the angle contained by the two sides of one of them, greater than the angle contained by the two sides equal to them, of the other ; the base...angle shall be greater than the base of the other. Of the sides DE, DF, let DE > DF, at D in the str. line DE, i L EDO = L BAC, make DG = AC or DF ; join...
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