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" DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide... "
Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry - Page 24
by John Playfair - 1829 - 186 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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

John Playfair - Mathematics - 1806 - 320 pages
...AC to DF; and also the base BC equal to the base EF : the angle BAC is equal to the angle EOF. For, if the triangle ABC be applied to the triangle 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...viz. the angle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to DEF, so that the point A may be on D, and the straight line AB uponDE; the point B shall coincide with the point E, because ABis equal to DE ; and AM coinciding with...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...EM to DF ; and also the base BC equal to the b;ise EF. The angle BAC is equal to the angle EDF. For, if the triangle ABC be applied to the triangle 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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...angle ABC to the angle DEF, and the angle ACB to DFE. В с ' For, if the triangle ABC be applied to DEF. so that the point A may be on D, and the btr.ight line AB upon DE ; the point В shall coincide with the point E, because AB is equal to DE...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...viz. the ttngle ABC to the angle DEF, and the angle ACB to DFE. 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, because AB is equal f to DE : and AB coinciding...
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The Philosophy of Human Knowledge: Or a Treatise on Language. A Course of ...

Alexander Bryan Johnson - Language and languages - 1828 - 216 pages
...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...
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Self-examinations in Euclid

John Martin Frederick Wright - Euclid's Elements - 1829 - 206 pages
...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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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...each, viz. А В С to DEF, and AC В to DFE, and the base В С shall be equal to the base EF. For if the triangle ABC be applied to the triangle DEF, so that the point A may be upon D, and the GEOMETRY. straight line А В upon DE, the straight line А С will coincide with DF,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...posite, shall be equal, each to each, viz. the angle ABC to the angle DBF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle DEF,...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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