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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 172

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 172
arallel (16. 11.).the two parallel planes GH, KLare cut by the plane AXFC, thecommon sections AC, XF, areparallel: and because EX is pa-rallel to BD, a side of the triangleABD, as AE to EB, so is (2. 6.)AXtoXD. Again, because XFis parallel to AC, a side of thetriangle ABC, as AX to XD, sois CF to… … PROP. XVIII. THEOR. If a straight line be at right angles to a plane, everyplane which passes through it shall be at right angles tothat plane. Let the straight line AB be at right angles to a plane CK;every plane which passes through AB shall be at right angles tothe plane CK. Let any plane DE…

Mathematics, Greek · Geometry · Trigonometry

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