 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 - Page 8by John Martin Frederick Wright - 1829 - 188 pagesFull view - About this book
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 - Mathematics - 1806 - 320 pages
...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 pages
...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 pages
...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 - Geometry - 1821 - 514 pages
...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 - Mathematics - 1825 - 1046 pages
...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 - Trigonometry - 1827 - 546 pages
...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 - Language and languages - 1828 - 216 pages
...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 - Geometry - 1829 - 210 pages
...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 - Euclid's Elements - 1833 - 346 pages
...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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