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 412
nd make the ratio of GH to HK the same ; and upon GH de-scribe the square GL, and complete the parallelogram LHKM;the figure ABCDE is equal to LHKM : because AF is toABCDE, as the straight line GH to HK, that is, as the figureGL to HM ; arid AF is equal to GL ; therefore ABCDE isequal to HMc. PROP.… … DATA. 411 Let AC, DF be two rectilineal figures given in species, andlet the ratio of the side AB to the side DE be given, the ratiosof the remaining sides to the remaining sides are also given. a 3. def. Because the ratio of AB to DE is given, as also a the ratios of ^ jq ^^^^AB to BC, and of DE…
Euclid's Elements · Mathematics, Greek · Geometry
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