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 82
to the centre than the less. 20.1. Let ABCD be a circle, of which thediameter is AD, and the centre E; andlet BC be nearer to the centre than FG ;AD is greater than any straight line BCwhich is not a diameter, and BC greaterthan FG. From the centre draw EH, EK per-pendiculars to BC, FG, and join… … OF EUCLID. 81 less** than EK; but, as was demonstrated in the preceding, BC Booklll.is double of BH, and FG double of FK, and the squares of EH ^■—v—^HB are equal to the squares of EK, KF, of which the square ofb5.def.3.EH is less than the square of EK, because EH is less than EK ;therefore the…
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-145-81.webp)
