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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 133

An illustration from 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, leaf 133
ts of all chords of a circle, which are of thesame length, all lie on a concentric circle. 4. If two circles ABCD, ABEF cut each other in points A, B, anytwo parallel straight lines DAF, CBE drawn through the points ofsection to cut the circles are equal. [Use Ex. 2.] BOOK III. 6. 121 Proposition… … Construction. If it be possible, let F be their centre; joinFC, and draw any straight line FEB, meeting the circum-ferences at E and B. Proof. Because F is the centre of the circle ABC, FC = FB. [I. Definition 15. Again, because F is the centre of the circle CDE, FC = FE ; [I. Definition 15. .. FE…

Euclid's Elements · Geometry · Mathematics, Greek

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