 | Robert Simson - 1806 - 546 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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,... | |
 | John Martin Frederick Wright - 1829 - 206 Seiten
...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... | |
 | John Playfair - 1829 - 210 Seiten
...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... | |
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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... 
