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 231
raw LM per-pendicular to BD, and produce it toN; and join LD, DN, ThereforeLD is equal to DN; and because LNis parallel to AC, and that AC touchesthe circle EFGH, therefore LN doesnot meet the circle EFGH: and muchless shall the straight lines LD, DNmeet the circle EFGH, so that ifstraight lines… … LEMMA H. If two trapeziums ABCD, EFGH be inscribed in thecircles, the centres of which are the points K, L; and ifthe sides AB, DC be parallel, as also EF, HG: and theother four sides AD, BC, EH, FG be all equal to oneanother; but the side AB greater than EF, and DCgreater than HG; the straight…
Mathematics, Greek · Geometry · Trigonometry
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