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 27
24 THE ELEMENTS OF EUCLID. BOOK I. ABE are greater than BE. To each of these add EC5 thereforethe sides BA, AC are greater than A BE, EC:CE, ED again,of the because the two sidestriangle CED are … greater than CD, add DB to each ofthese; therefore the sides CE, EB aregreater than CD, DB; but it has beenshown that BA, AC are greater thanBE, EC; much more then are BA,AC greater than BD, DC. Again, because the exterior angleof a triangle is greater than the interior and opposite angle,…
Mathematics, Greek · Geometry · Trigonometry
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