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 274
n the samebase AEBFCGDH, and of the samealtitude with the cylinder. Thereforethis prism is greater than the cylinderof which the base is the circle ABCD.But it is also less, for it is containedwithin the cylinder ; which is impos-sible. Therefore the cylinder is not less than the triple of thecone.… … PROP. XL THEOR. See N. CONES and cylinders of the same altitude are toone another as their bases. Let the cones and cylinders, of which the bases are the circlesABCD, EFGH, and the axes KL, MN, and AC, EG the diame-ters of their bases, be of the same altitude. As the circle ABCDto the circle EFGH,…
Euclid's Elements · Mathematics, Greek · Geometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
![An illustration from Divina proportione : opera a tutti glingegni perspicaci e curiosi necessaria oue ciascun studioso di philosophia: prospettiua pictura sculptura: architectura: musica: e altre mathematice: suavissima: sotile: e admirabile doctrina consequira: e delecterassi: co[n] varie questione de secretissima scientia (1509)](https://img.insideoutlibrary.com/img/200/ia-divinaproportion00paci-96-192.webp)
![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-64-40.webp)
![An illustration from Examen dv livre des Recreations mathematiqves, & de ses problemes en geometrie mechanique, optique & catoptrique [du J. Leurechon] Où sont aussi discutées & restabiles plusieurs experiences physiques y proposées (1639)](https://img.insideoutlibrary.com/img/200/ia-examendvlivredes00mydo-83-17.webp)