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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... "
The Philosophy of Human Knowledge: Or a Treatise on Language. A Course of ... - Pągina 118
per Alexander Bryan Johnson - 1828 - 197 pągines
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pągines
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 pągines
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pągines
...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 pągines
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 pągines
...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 pągines
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 pągines
...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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pągines
...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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Self-examinations in Euclid

John Martin Frederick Wright - 1829 - 206 pągines
...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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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 pągines
...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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