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" ... be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, ECA equal to the angles DEF, EFD, viz. "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Side 24
av Robert Simson - 1804
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...sides opposite to equal angles in each j then shall the other sides he equal, each to eacli ; and also the third angle of the one to the third angle of the other. Prop. XXVII. Theor. If a straight line falling upon two other strniirht lines makes the alternat«...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other b, viz. the side AB to the side CD, and b2f. 1. AC to BD, and the angle BAC equal to the angle BDC...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - 294 sider
...be, together, unequal to two quadrants, then, the remaining sides shall be equal, each to each ; and the third angle of the one, to the third angle of the other. Let^JJC, EFG\>e two spherical triangles, having the angle A equal to E, the angle C equal to G, and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...opposite to the equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other. A Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...the sides of that which has the greater base, shall be greater than the angle contained by the sides of the other. Let ABC, DEF be two triangles which have the two sides AB. AC, equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF :...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26. I .) viz. the side (26 1 .) AB to the side CD, and AC to BD, ¿nd the angle ВАС equal to the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...opposite to the equal angles in eaeh ; then shall the other sides be equal, eaeh to eaeh ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two A. D triangles whieh have the angles ABC, BCA equal tolheanglesDEF,EFD, viz. ABC to DEF, and BCA to...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...contained by the equal sides of the one be greater than the angle which is contained by the equal sides of the other. Let ABC, DEF, be two triangles, which have the two sides AB, AC, equal to the two sides DE, DF, each to each, viz. the side A в equal to the side...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...contained by the equal sides of the one be greater than the angle which is contained by the equal sides of the other. Let ABC, DEF, be two triangles, which have the two sides AB, AC, equal to the two sides DE, DF, each to each, viz. the side AB equal to the side DE,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...which is adjacent to their equal angles; therefore their other sides are equal, eacl1 to each, and the third angle of the one to the third angle of the other*, viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC: and because...
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