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 257
straightlines EF, FG, GH, HE be completed ; each of the triangles EKF,FLG, GMH, HNE shall be the half a of the parallelogram inwhich it is: but every segment is less than the parallelogram inwhich it is: wherefore each of the triangles EKF, FLG, GMH,HNE is greater than half the segment of the… … main segments of the circle which, together, shall be less thanthe excess of the circle EFGH above the space S: because, bythe preceding lemma, if from the greater of two unequal raag^nitudes there be taken more than its half, and from the rem in-der more than its half, and so on, there shall at…
Euclid's Elements · Mathematics, Greek · Geometry
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