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... Self-examinations in Euclid - Pagina 8door John Martin Frederick Wright - 1829 - 188 pagina’sVolledige weergave - Over dit boek
| Robert Simson - 1806 - 546 pagina’s
...opposite, shall be equal, each to each, viz. 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...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 with DE,... | |
| John Playfair - 1806 - 320 pagina’s
...ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle 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 with DE,... | |
| Euclides - 1816 - 588 pagina’s
...and AC to DFl and also the base BC equal to the \ base EF. The' angle BAG is equal to the angle EDF. For, if the triangle ABC be applied to 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... | |
| John Playfair - 1819 - 354 pagina’s
...ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle 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 with DE,... | |
| Euclid, Robert Simson - 1821 - 514 pagina’s
...and AC to DF; A and also the base BC equal to the base EF. The angle BAC is equal to the angle EDF. For, if the triangle ABC be applied to DEF, so that the point B be on E, and the straight line BC upon EF; the point C shall also coincide with D the point F. Because... | |
| Peter Nicholson - 1825 - 1046 pagina’s
...and AC to DF ; and also the base BC equal to the base EF. The angle ВАС is equal to the angle EOF. For, if the triangle ABC be applied to DEF, so that the point В be on E, and the straight line BC upon EF ; the point С shall also coincide with the point F. Because... | |
| Robert Simson - 1827 - 546 pagina’s
...DF; and also the base BC equal to the base EF. The angle BAC shall be A . BG equal to the angle EDF. For, if the triangle ABC be applied to DEF, so that the point B may be on E, and the straight line BC upon EF ; the point C shall also coincide with the point F,... | |
| Alexander Bryan Johnson - 1828 - 216 pagina’s
...But let us now examine if the proof 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 admitted... | |
| John Playfair - 1829 - 210 pagina’s
...each, namely, the angle B to E, and the angle C to F. BC If the triangle ABC be applied to the triangle DEF, so that the point A may be on D, and the straight line AB on DE, the point B will coincide with E, because AB is equal to DE ; and because AB coincides with... | |
| John Playfair - 1833 - 346 pagina’s
...ABC to the angle DBF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle DEF, so 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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