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 183
FE, = the squares on DF, FE. [Axiom 2. Butj because CFE is a right angle, the squares on CF, FE = the square on CE, [I. 47. that is, = the square on BE; BOOK III. 36. 171 and the squares on DF, FE = the square on DE; . . the rect. AD, DC, together with the square on BE, = the square on DE.that is,… … [q.e.d. Since AC is bisected at E and produced to D,the rect. AD, DC, with the square on EC, = the square on ED, [II. 6. that is, = the sqs. on EB, BD, since EBD is a right l. [I. 47.But the square on EC = the square on EB;. •. the rect. AD, DC = the square on BD.Wherefore, if from any point, etc.…
Euclid's Elements · Geometry · Mathematics, Greek
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