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 116
on the two lines. For in each case AD is thesum, and DB the difference of the two lines AC, CD. 104 EUCLIDS ELEMENTS. Proposition 11. Problem. To divide a given straight line into two parts^ so that the rectanglecontained hy the ivhole and one of the parts may he equal to thesquare on the other… … Construction. On AB describe the square ABDC; [I. 46.bisect AC at E; [I. 10. join BE; produce CA to F, and make EF equal tr EB; [I. 3.on AF describe the square AFGH. [I. 46. AB shall be divided at H so that the rectangle AB, BH isequal to the square on AH. Produce GH to meet CD in K. Proof. Because…
Euclid's Elements · Geometry · Mathematics, Greek
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