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 159
angle BD, CE: again, because the angle ABE is equal to the angle DBC, and the angle (21. 3.) B AE to the angle BDC, the triangle ABE is equiangular to the triangle BCD: as therefore BA to AE, so is BD to DC; wherefore the rectangle BA, DC is equal to the rectangle BD, AE: but the rectangle BC, AD… … * See Note. 1 This is a Lemma of CI. Ptoloraseus, in page 9 of his jutyAhn o-vvrA^tc- THE EliEMESfTS OF EUCJLID. BOOK XI. DEFINITIONS. I. A SOLID is that which hath length, breadth, and thickness. II. That which bounds a solid is a superficies. III. A straight line is perpendicular, or at right…
Mathematics, Greek · Geometry · Trigonometry
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