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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 ... - Σελίδα 24
των Robert Simson - 1804
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...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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...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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...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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...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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...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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...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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...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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