 | Adrien Marie Legendre - 1825 - 570 pages
...Demonstration. In the two triangles ABC, DEF (fig. 23), let Fig.23_ the angle A be equal to the angle D, the side AB equal to the side DE, and the side AC equal to the side DF ; the two triangles ABC, DEF, will be equal. Indeed the triangles may be so placed, the... | |
 | Euclid - 1826 - 234 pages
...greater angle be greater than the base qfthe 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 DK, and the side AC equal to DF. But the angle BAC greater than the angle EDF. The base вс will be... | |
 | Euclides - 1826 - 226 pages
...to each, which are opposite to the equal aides. Let there be two triangles, ABC, DEF, which have the two sides AB, AC, equal to the two sides DE, DF, each to each; namely, the side AB equal to the side DE, and the side AC equal to DF ; also the angle BAC equal to... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...angle contained by the sides egual 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 BC greater than the base EF: the angle BAC shall be greater... | |
 | Alexander Bryan Johnson - Language and languages - 1828 - 216 pages
...uninteresting matter. PROPOSITION IV.— Theorem 1st. Let ABC, DBF 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 a ngle BAC, equal to the angle EDF : the base BC shall be equal... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...the isosceles sphericaHriangle В A A', the angle В A' A is equal to the 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, but DE lying in a direction from DF, which is the reverse of that in which AB... | |
 | Mathematics - 1835 - 684 pages
...: the second case as follows : — Let А В С, DEF be two spherical .A. triangles, which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. А В to DE and А С to DF, but DE lying in a direction from DF, which is the reverse of that in which... | |
 | Euclid - 1835 - 540 pages
...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 let the base CB be greater than the base EF ; the angle BAC is likewise... | |
 | John Playfair - Geometry - 1836 - 148 pages
...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, the base BC shall be equal to the... | |
 | Alexander Bryan Johnson - Language Arts & Disciplines - 1836 - 290 pages
...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 : the base BC shall be equal to... | |
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... 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... 
