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 326
F = C; .-. C>AK; that is, AK<C. [q.e.d. ; Also if only the halves be taken away, the same thing may inthe same way be demonstrated. B C E 314 EUCLIDS ELEMENTS. Proposition 1. Theorem= Similar polygons inscribed in circles are to one another as thesquares on their diameterSo Let ABCDE, FGHKL… … [VI. Definition 2.[VL 6. [IIIo 21. Construction. Join AM, BE, FN, GL. Proof. Because the polygons are similar/. the ^BAE = the IgFL,and BA :AE::GF:FL;.*. the ABAE is equiangular to the AGFL;.\ the ^AEB^the Z.FLG. But ^AEB-^AMB, and z.FLG = z.FNG;/. the z.AMB = the /_FNG.Also, the £.BAM = the Z.GFN;…
Euclid's Elements · Geometry · Mathematics, Greek
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