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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 207

An illustration from 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, leaf 207
drawn through the points K, L, M, N, and parallelograms uponthe straight lines EF, FG, GH, HE be completed; each of the tri-angles EKF, FLG, GMH, HNE shaU be the half (41. 1.) of theparallelogram in which it is: but every segment is less than theparallelogram in which it is: wherefore each of the… … by straight lines, by continuing to do this, there will at length re-main segments of the circle, which, together, shall be less than the * See Note. t For there is some square equal to the circle ABCD; let P be the side of it;and to three straight lines BD, FH, and P, there can be a fourth…

Mathematics, Greek · Geometry · Trigonometry

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