| Robert Simson - Trigonometry - 1806 - 546 pages
...the angle ABC to the B angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to **DEF, so that the point A may be on D, and the straight line AB** upon DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding... | |
| John Playfair - Mathematics - 1806 - 320 pages
...AC to DF; and also the base BC equal to the base EF : the angle BAC is equal to the angle EOF. For, **if the triangle ABC be applied to the triangle DEF, so that the point** B be on E, and the straight line BC upon EF ; the point C shall also coincide with the point F, because... | |
| Euclides - 1816 - 588 pages
...viz. the angle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to **DEF, so that the point A may be on D, and the straight line AB** uponDE; the point B shall coincide with the point E, because ABis equal to DE ; and AM coinciding with... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...EM to DF ; and also the base BC equal to the b;ise EF. The angle BAC is equal to the angle EDF. For, **if the triangle ABC be applied to the triangle DEF, so that the point** B be on E, and the straight line BC upon EF ; the point C shall also coincide with the point F, because... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...angle ABC to the angle DEF, and the angle ACB to DFE. В с ¿' For, if the triangle ABC be applied to **DEF. so that the point A may be on D, and the** btr.ight line AB upon DE ; the point В shall coincide with the point E, because AB is equal to DE... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...viz. the ttngle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to **DEF, so that the point A may be on D, and the straight line AB** upon DE; the point B shall coincide with the point E, because AB is equal f to DE : and AB coinciding... | |
| Alexander Bryan Johnson - Language and languages - 1828 - 216 pages
...adduced by Euclid changes the character of the process. He says, if the triangle ABC be applied to **DEF, so that the point A may be on D, and the straight line AB** upon DE; the point B, shall coincide with the point E. I would ask why? Because, says Euclid, AB is... | |
| John Martin Frederick Wright - Euclid's Elements - 1829 - 206 pages
...The demonstration may be rendered more perfect, as follows : For, if the triangle ABC, be applied to **DEF, so that the point A may be on D, and the** point B on the straight line DE; then AB must lie wholly on DE, for otherwise two straight lines would... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...each, viz. А В С to DEF, and AC В to DFE, and the base В С shall be equal to the base EF. For **if the triangle ABC be applied to the triangle DEF, so that the point A may be** upon D, and the GEOMETRY. straight line А В upon DE, the straight line А С will coincide with DF,... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...posite, shall be equal, each to each, viz. the angle ABC to the angle DBF, and the angle ACB to DFE. For, **if the triangle ABC be applied to the triangle DEF,...that the point A may be on D, and the straight line** A 15 upon DE ; the point It shall coincide with the point £, because AB is equal to DE : and AB coinciding... | |
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