 | Robert Simson - 1806 - 546 sider
...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 - 1806 - 320 sider
...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 sider
...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 - 1819 - 350 sider
...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 - 1825 - 1046 sider
...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 - 1827 - 546 sider
...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 - 1828 - 216 sider
...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 - 1829 - 206 sider
...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 - 1830 - 584 sider
...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 - 1833 - 346 sider
...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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DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide... 
