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 233
, PT, RY; and from thepoints O, S, draw OV, SQ perpendiculars to AB, AK: and be-cause the plane BOXD is at right angles to the plane BCDE, andin one of them BOXD, OV is drawn perpendicular to AB thecommon section of the planes, therefore OV is perpendicular(4. def. 11.) to the plane BCDE: for the… … and OV, SQ are perpendicular to their diameters, therefore (26.1.) OV is equal to SQ, and BV equal to KQ: but the whole BAis equal to the whole KA, therefore the remainder VA is equal to riOOK XII. THE ELEMENTS OF EUCLID. 231 the remainder QA; as therefore BV is to VA, so is KQ to QA,wherefore VQ…
Mathematics, Greek · Geometry · Trigonometry
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