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 62
G, for,if there can, let it be FK; and because FK is equal to FG, and FGto FH, FK is equal to FH: that is, a line nearer to that whichpasses through the centre, is equal to one which is more remote:which is impossible. Therefore, if any point be taken, &c. Q.E. D. PllOP. VHI. THEOR. If any… … 60 THE ELEMENTS OF EUCLID. BOOK III. passes through the centre, and, of the rest, that whichis nearer to that through the centre is always greaterthan the more remote: but of those which fall uponthe convex circumference, the least is that between thepoint without the circle and the diameter; and,…
Mathematics, Greek · Geometry · Trigonometry
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