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 188
and ifAG be equal to C, then what was required is already done ;for, upon the straight line AB, the parallelogram AG is appliedequal to tl: ■ figure C, and deficient by the parallelogram EFsimilar to D : but, if AG be net equal to C, it is greater thanit; and EF is equal to AG ; therefore EF also… … OF EUCLID. 187 be the homologous side to EG, and LM to GF : and because Book VI.EF is equal to C and KM together, EF is greater than KM ; ^ -,-._/therefore the straight line EG is greater than KL, and GF thanLM : make GX equal to LK, and GO equal to LM, and com-plete the parallelogram XGOP :…
Euclid's Elements · Mathematics, Greek · Geometry
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![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-91-159.webp)
