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 136
(2) of those which fall on the convexcircumference GKLH, the least shallbe DC, and DK less than DL, andDL than DH. Construction. Take M, the centreof the circle ABC, [III. 1. and join ME, MF, MC, MH, ML,MK. Proof. (1) Li the AEMD the twosides EM, MD are together greaterthan ED. [I. 20. But EM = AM… … BOOK III. 8. 125 o*. the base ED is greater than the base FD. [I. 24. Similarly, it may be shewn that FD is greater than CD.Therefore DA is the greatest, and DE greater than DF, andDF greater than DC. (2) Again, because MK, KD are greater than MD, [I. 20. and MK = MG-, [I. Definition 15. the…
Euclid's Elements · Geometry · Mathematics, Greek
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