The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 334
sides shall he either equalor supplementary. Let ABC, DEF be two triangles having AB = DE, AC = DF, andthe zABC opposite AC = the zDEFopposite the equal side DF. Let the A ABC be applied to theA DEF so that AB coincides with DEand the Z ABC with the z DEF. Thenthe side BC falls on the side EF. The… … NOTES. BOOK I. 323 The A ^ABC, DEG then coincide and are equal in all respects, sothat zDGE = zACB, and the side DG = the side AC. ButAC = DF; .-. DG = DF; .-. zDGF = zDFG. [1.6. But the Z«DFG, DFE = two right angles..-. the z«DGE, DFE = two right angles ;.-. the zsACB, DFE = two right angles ;that…
Euclid's Elements · Geometry · Mathematics, Greek
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