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 (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 31
of the line; or makes theinterior angles upon the same side together equal totwo right angles; the two straight lines shall be paral-lel to one another. Let the straight line EF, which falls Eupon the two straight lines AB, CD, ^.make the exterior angle EGB equal to \ q the interior and opposite… … BOOK I. THE ELEMENTS OF EUCLID. 29 the angle GHD, and the angle EGB, equal (15. 1.) to the angleAGH, the angle AGH is equal to the angle GHD; and they arethe alternate angles; therefore AB is parallel (27. 1.) to CD.Again, because the angles BGH, GHD are equal (by hyp.) to tworight angles; and that…
Mathematics, Greek · Geometry · Trigonometry
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