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 59
is a right angle:but FDB is likewise a right angle; where-fore the angle FDB is equal to the angleGDB, the greater to the less, which is im-possible: therefore G is not the centre ofthe circle ABC: in the same manner itcan be shown, that no other point but F isthe centre; that is, F is the centre… … E PROP. II. THEOR. If any two points be taken in the circumference ofa circle, the straight hne which joins them shall fallwithin the circle. Let ABC be a circle, and A, B any two points in the circum-ference; the straight line drawn from A to CB shall fall within the circle. For, if it do not, let…
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-308-201.webp)
