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 83
f EC, is equal tothe square of ED: and CE is equal to EB; therefore the rectan-gle AD, DC, together with the square of EB, is equal to thesquare of ED: but the squares of EB, BD are equal to the square(47. 1.) of ED, because EBD is a right angle; therefore the rect-angle AD, DC, together with the… … ■^ BOOK III. THE ELEMENTS OF EUCLID. 81 Cor. If from any point without a circle,there be drawn two straight lines cutting it,as AB, AC, the rectangles contained by thewhole lines and the parts of them withoutthe circle, are equal to one another, viz. the Drectangle BA, AE to the rectangle CA,…
Mathematics, Greek · Geometry · Trigonometry
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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-215-131.webp)
