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 101
e AD, DC,together with the squares of CF, FE, isequal to the squares of DF, FE ; but thesquare of ED is equal «= to the squaresof DF, FE, because EtD is a right an-gle ; and the square of EC is equal to the squares of CF, FE ; therefore the rectangle AD, DC» to-gether with the square of EC, is… … 100 THE ELEMENTS Book III. cause EBD is a right angle; therefore the rectangle AD, DC,U-.^—^ together with the square of EB, is equal to the squares of EB,BD : take away the common square of EB ; therefore the re-maining rectangle AD, DC is equal to the square of DB.Wherefore, if from any point,…
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-186-102.webp)
