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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 ...

Euclid - 1835 - 540 pages
...but the angle contained by the two sides of one of them greater than the angle contained by the tivo sides equal to them, of the other ; the base of that...angle shall be greater than the base of the other. Book I. Let ABC, DEF be two triangles which have the two sides V—V""' AB, AC equal to the two DE,...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...contained by the two sides of the one greater than theangle which is contained by the two sides which are equal to them of the other ; the base of that which...angle shall be greater than the base of the other : and conversely. See the demonstration of Book I. Prop. 11. PROP. 18. If any point be taken within...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...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...other. Let ABC, DEF be two triangles which have the two les AB, AC equal to the two DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the angle...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...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. XXV. If two triangles have two sides of the one equal to two sides of the other, each to each, but...
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The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...their other angles shall be 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 the two sides DE, DF, each to each, viz. AB to DE, and AC to DF ; and the angle BAC equal to the angle EDF,...
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A Treatise on Language: Or, The Relation which Words Bear to Things, in Four ...

Alexander Bryan Johnson - Language - 1836 - 290 pages
...assent to mathematical propositions. Proposition IV, Theorem 1st, in the first book of Euclid, says: — "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 to DE, and AC to DF ; and the angle BAC, equal to the angle EDF...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...each to each, but the angle contained by 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. Steps of the Demonstration. 1. Prove that (in As ABC, DEC) base BC = base EG, 2. that Z DFG = Z DGF,...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 332 pages
...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. 25 DF; but the angle BAG greater than the angle EDF ; the base BC is also greater than the base EF....
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...angle DCE. PROPOSITION XXIV. THEOREM. 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 the greater angle shall he greater than the hase of the other. Let ABC, DEF, be two triangles which have the two sides AB,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 410 pages
...(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, AC equal to the two sides, DE, DF, each to each, viz., AB to DE, and AC to DF ; and the angle BAC equal to the angle EDF:...
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