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 183
o PR: and because as AB to CD, so is EF to PR, andthat PR is equal to GH ; AB is to CD, as EF to GH. If, there-fore, four straight lines, Sec. Q. E. D. PROP. XXHL THEOR. Se,eN. EQUIANGULAR parallelograms have to oneanother the ratio which is compounded of the ratiosof their sides. Let AC CF be… … OF EUCLID. 181 Let BC, CG be placed in a straight line ; therefore DC and Book VI.CE are also in a straight line* ; and complete the parallelogram ^—v—^DG ; and, taking any straight line K, make^ as BC to CG, a 14.1.so K to L, and as DC to CE, so make ^ L to M : therefore b 12. 6.the ratios of K to…
Euclid's Elements · Mathematics, Greek · Geometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
