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 163
BC to CE f: but f 2. 6.AF is equal to CD ; therefore s, as BA to CD, so is BC to CE ; g 7.5.and alternately, as AB to BC, so is DC to CE* : again, becauseCD is parallel to BF, as BC to CE, so is FD to DE^: but FD isequal to AC ; therefore, as BC to CE, so is AC to DE: and al-ternately, as BC to CA,… … 162 THE ELEMENTS Book VI. PROP. V. THEOR. IF the sides of two triangles, about each of theii*angles, be proportionals, the triangles shall be equi-angular, and have their equal angles opposite to thehomologous sides. Let the triangles ABC, DEF have their sides proportionals,so that A B is to BC, as…
Euclid's Elements · Mathematics, Greek · Geometry
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