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" ... sides 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, BCA equal to the angles DEF, EFD, viz. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Page 24
by John Playfair - 1860 - 317 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...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. Let ABC,...are adjacent to the angles that are equal in the two tri- AD angles, viz. BC to EF; the other sides shall be equal, each to each, viz. AB to DE, and AC...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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. Let ABC,...equal to one side; and first let those sides be equal AD which are adjacent to the angles that are G equal in the two triangles, viz. BC to EF; the other...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...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 - 236 pages
...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 - Trigonometry - 1827 - 546 pages
...thai which has the greater base, shall be greater than the angle contained by the sides egual to them 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; but...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...each other; then will the other two sides be equal, each to each, and the third angle of one triangle to the third, angle of the other. Let ABC, DEF be two triangles which have the angles B, C equal to the angles E, F, each to each, and the side UC equal to EF; then the other sides will...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...sides are opposite, and the base, or third side, of the one shall be equal to the base, or third side, 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 to DE, and Л С to D F. and...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...which has its third side the greater, shall be greater than the angle between the sides equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF respectively, viz. AB to DE, and AC to DF ; but the third...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...each, then shall the other sides be equal, each to each, and also the third angle of the one, to Ike third angle of the other. Let ABC, DEF be two triangles,...the angles ABC, BCA equal to the angles DEF, EFD, each to each, viz. ABC to DEF, and BCA to EFD; also one side equal to one side : and first, let those...
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