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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 - Página 24
por John Playfair - 1829 - 186 páginas
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 páginas
...ACB to the angle DFE. For, if the triangle BAG was applied to the triangle EDF, so he P°int A was on D, and the straight line AB on* DE ; the point B would coincide with the point E, because AB * yp> isf equal to DE. And, AB so coinciding with DE, if...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 páginas
...each, viz. А В С to DEF, and Л С 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 f straight line А В upon DE, the straight line А С will coincide with DP, because...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...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 upon DE ; the point B shall coincide with the point E, because AB is equal to DE ; and AB coinciding...
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A Treatise on Language: Or, The Relation which Words Bear to Things, in Four ...

Alexander Bryan Johnson - 1836 - 290 páginas
...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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The Element of Geometry

John Playfair - 1836 - 148 páginas
...angle ABC to the angle DEF, and the angle ACB to the angle 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 A v D OEF coincide with the point E, because AB is equal to DE ; and AB...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 páginas
...be ^- \ equal, each to each j namely, the angle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle DEF,...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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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 páginas
...viz., the angle ABC to the angle DEF, and the angle ACBtoDFE. 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 * In practice, what is done in this proposition and in the scholium, will be effected...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 páginas
...viz. the iingle ABC to the angle DEF, and the angle ACS to DFE. For, if the triangle ABC he 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 equalt to DE: and AB coinciding...
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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 páginas
...thoroughly convinced of its completeness. In the language of Simson, copied by Playfair, it is said — " If the triangle ABC be applied to the triangle DEF,...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 since AB coincides...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...angle ABC to the angle DEF, and the angle ACB to the angle 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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