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 149
AB doesnot fall within the circle. And in the same manner it may be shewn that it does notfall on the circumference ;.*. it must fall without the circle, as AE. (2).If possible, let AF be another straight line drawnthrough A which does not cut the circle ; and from the centreD draw DC perpendicular… … But DA = DH ; [I. Definition 15. .. DH is greater than DG, the less than the greater, whichis impossible; .*. no straight line, except AE, can be drawn from the pointA which does not cut the circle. Wherefore, the straight line, etc. [q.e.d. Coro]laries. (1) The straight line which is drawn at…
Euclid's Elements · Geometry · Mathematics, Greek
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