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 321
be given; the third parallel HK is given in position. In AB take a given point L, and draw LM perpendicular toCD, meeting HK in N; because LM is drawn from the givenpoint L to CD which is given in position, and makes a given an-gle LMD; LM is given in position (33.dat.); and CD is given inposition,… … EUCLID S DATA. K A H B G N K M D NL to NM; the ratio of NL to NM is given; and therefore (cor.6. or 7. dat.) the ratio of ML to LN is given; but LM is given inmagnitude (cor. 6. or 7. dat.), wherefore (2. dat.) LN is given inmagnitude; and it is also given in position, and the point L isgiven,…
Mathematics, Greek · Geometry · Trigonometry
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