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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 - Page 30
by Euclides - 1838
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...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...the greater angle shall be greater than the base of thfe other. Let ABC, DEF be two triangles, which have the two B'x.' J. sides AB, AC, equal to the two...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 338 pages
...to each, but the angle contained by those two sides of the one, 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. The proposition is proved, by the help of the preceding articles, in the same manner as is the twentyfourth...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 592 pages
...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...greater angle shall be greater than the base of the dtiier. Let ABC, DEF be two triangles, which have the two BcM L sides AB, AC, equal to the two DE,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...to each, but the angle contained by the two ;ides 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 the greater ancle shall be greater than the base nf the other. Prop. XXV. Theor. If two triangles have two sides...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...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, viz. ABC to DEF, and BCA to EFD; also one side equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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...base of the other.* Let ABC, DEF be two triangles whichhavethetwosides AB, • See Note. AC equal to the two DE, DF, each to each, viz. AB equal to DE,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1058 pages
...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, viz. ABC to DEF, and BCA to EFD ; also one side equal...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...contained by the equal sides of the one be greater than the angle which is contained by the equal sides 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. the side AB equal to the side DE, and the side AC to the side DF....
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...contained by the equal sides of the one be greater than the angle which is contained by the equal sides 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. the side A в equal to the side DE, and the side AC to the side DF....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 326 pages
...of the one greater than the angle eontained by the two sides of the other ; the base of that whieh has the greater angle shall be greater than the base of the other. ' Let ABC, DEF he two triangles whieh have the two sides AB, AC equal to the two DE, DF eaeh to eaeh, viz, AB equal...
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