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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 228

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 228
xis EK and cylinder BG, there hasbeen taken any equimultiples whatever, viz. the axis KL and cy-linder PG; and of the axis KF and cylinder GD, any equimulti^pies whatever, viz. the axis KM and cylinder GQ: and it has beendemonstrated, if the axis KL be greater than the axis KM, the cy-linder PG is… … H D PROP. XIV. THEOR. Cones and cylinders upon equal bases are to oneanother as their altitudes. Let the cylinders EB, FD be upon the equal bases AB, CD:as the cylinder EB to the cylinder FD, so is the axis GH to theaxis KL. Produce the axis KL to the point N, and make LN equal to the axis GH, and…

Mathematics, Greek · Geometry · Trigonometry

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