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 204
x. 1, p. 109.] 192 EUCLIDS ELEMENTS, Proposition 10. Problem To describe an isosceles triangle^ having each of the angles at thebase double of the third angle. Construction. Take any straight line AB, and divide it at C,so that the rect. AB, BC = the square on AC ; [IL 11. with centre A and radius… … B D Proof. Because the rect. AB, BC = the square on AC, [Co7isL_that is, == the square on BD, - [Construction. .-. BD touches the circle ACD. [TIL 37. Also, DC is drawn from the point of contact D ;.. the z.BDC = the lBAG in the alternate segment. [IIL 32. To each of these add the ^CDA ; .-. the…
Euclid's Elements · Geometry · Mathematics, Greek
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