 | Robert Simson - 1806 - 546 páginas
...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 the...DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide with DF, because the angle... | |
 | John Playfair - 1806 - 320 páginas
...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...DE ; the point B shall coincide with the point E, because AB is equal to DE ; and AB coinciding with DE, AC shall coincide with DF, because the angle... | |
 | Euclides - 1816 - 588 páginas
...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 páginas
...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...DE ; the point B shall coincide with the point E, because AB is equal to DE ; and AB coinciding with DE, AC shall Coincide with DF, because the angle... | |
 | Euclid, Robert Simson - 1821 - 514 páginas
...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 páginas
...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... | |
 | Euclid, John Playfair - 1826 - 326 páginas
...ABC tof the ang't* 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 eoineide with the point E, beeause AB is equal to DE ; and AB eoineiding with DE, AC shall eoineide... | |
 | Robert Simson - 1827 - 546 páginas
...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 páginas
...admitted by the premises, which affirm that the angle BAC is equal to the angle EDF. But let us now examine if the proof adduced by Euclid changes the...thus far, is avowedly an admission of the premises. The process is continued : thus, AB, coinciding with DE, AC shall coincide with DF. Why ? Because,... | |
 | John Martin Frederick Wright - 1829 - 206 páginas
...implicates the preceding postulate. 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... | |
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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... 
