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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 191

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 191
olid AE, is equal to the solid CF: from the pointsG, K, E, M; N, S, F, P, draw the straight lines GQ, KT, EV,MX; NY, SZ, FI, PU, perpendicular (ll. II.) to the plane inwhich are the bases AB, CD; and let them meet it in the pointsQ, T, V, X; Y, Z, I, U and join QT, TV, VX, XQ; YZ, ZI, lU,UY: then… … AHQT C R Y Z they are parallel (6. 11.) to one another: and MG, EK are paral-lels; therefore the plane MQ, ET, of which one passes throughMG, GQ, and the other through EK, KT, which are parallel toMG, GQ, and not in the same plane with them, are parallel (15.11.) to one another. For the same reason…

Mathematics, Greek · Geometry · Trigonometry

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