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 131
s AFE, BFE,rthe z.EAF = the Z.EBF,because J and the right ^AFE = the right /.BFE,, and the side EF is common ;.-. AF = FB.Wherefore, if a straight line, etc. [L5. [I 26.[q.e.d. BOOK III. 4. il9 Proposition 4. Theorem. If in a circle chords cut one another which do not both passthrough the centre,… … Case I. If one of the chords pass through the centre, itis plain that it cannot be bisected by the other which doesnot pass through the centre. Case II. If neither of them pass through the centre, ifpossible, let AE = EC and BE = ED. Construction. Find F, the centre of the circle, [III. 1. and join…
Euclid's Elements · Geometry · Mathematics, Greek
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