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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... "
Self-examinations in Euclid - Pagina 8
door John Martin Frederick Wright - 1829 - 188 pagina’s
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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,...
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The Philosophy of Human Knowledge: Or a Treatise on Language. A Course of ...

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...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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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