| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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,... | |
| 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.... | |
| 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,... | |
| 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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