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 (1806)
Euclid, Simson, Robert, 1687-1768, Euclid. Elements. Book 11-12. English. 1806, Euclid. Data. English. 1806, Simson, Robert, 1687-1768. Notes, critical and geometrical. 1806, Simson, Robert, 1687-1768. Elements of plane and spherical trigonometry. 1806 · Philadelphia : Published by Mathew Cary, and sold by J. Conrad & Co., S.F. Bradford, Birch & Small, and Samuel Etheridge, printed by T. & G. Palmer ... · leaf 289
EUCLID. 287 OS, PT, RY; and from the points O, S, draw OV, SQ perpen- b. Xii.diculars to AB, AK: and because the plane BOXD is at right ^-^-ymJangles to the plane BCDE, and in one of them BOXD, OVis drawn perpendicular to AB the common section of the planes,therefore O V is perpendicular a to the… … circumferences BO, KS are equal, and OV, SQ are perpen-dicular to their diameters, therefore d OV is equal to SQ, d26.1.and BV equal to KQ: but the whole BA is equal to the wholeKA, therefore the remainder VA is equal to the remainderQA: as therefore BV is to VA, so is KQ to QA, whereforeVQ is…
Euclid's Elements · Mathematics, Greek · Geometry
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-214-129.webp)
