The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 68
emaining square of AF is equal tothe remaining square of CG; and the straight line AF is there-fore equal to CG: and AB is double of AF, and CD double ofCG; wherefore AB is equal to CD. Therefore equal straightlines, See. Q. E. D. PROP. XV. THEOR. The diameter is the greatest straight Hne in a… … Let ABCD be a circle, of which the dia- A B meter is AD, and the centre E; and let BC , be nearer to the centre than FG; AD is ^/greater than any straight line BC which is / N.not a diameter, and BC greater than FG. From the centre draw EH, EK perpendi-cular to BC, FG, and join EB, EC, EFj…
Mathematics, Greek · Geometry · Trigonometry
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