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 162
ection of the bisectors, and OQ meet CD in L, thenzOPC = iD-iPAD and zOQD^JD-JDCQ ;.-. zPOQ = zPLQ-zOPC = zD-zOQD-zOPC= zD-J(2zD-zPAD-zPCQ)= izPAD + izPOQ = art. z.] 150 EUCLIDS ELEMENTS. Proposition 23. Theorem. On the same chord, and on the same side of it, there cannot he twosimilar segments of… … Construction. Because the circle ACB cuts the circle ADBat the two points A, B, they cannot cut one another at anyother point; [III. 10. therefore one of the segments must fall within the other; let ACB fall within ADB; draw the straight line BCD, and join AC, AD. Proof. Because ACB, ADB are, by…
Euclid's Elements · Geometry · Mathematics, Greek
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