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 148
, etc, [q.e.d. EXERCISE. ^# Through a given point within a circle, draw the shortest chord. 136 EUCLIDS ELEMENTS. Proposition 16. Theorem. (1) The straight line drawn at right angles to the diameter ofa circle from the extremity of it falls tvithout the circle;and (2) any other straight line drawn… … For, if not, let it fall, if possible, within the circle, as AC,and draw DC to the point C, where it meets the circum-ference. (1) Proof. Because DA = DC, [L Definition 15. the ^DAC^the ^DCA, [L 5. But the ^DAC is a right l ; [Hypothesis. .-. the z_DCA is a right L].\ the angles DAC, DC A = two…
Euclid's Elements · Geometry · Mathematics, Greek
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