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 355
he point Lis given; join LG, LH; then the triangle LGH is that which was tobe found, for the square of NM is equal to the squares of NH andML, and taking away the common square of NH, the rectangle GMH 352 EUCLID S DATA. is equal (6.2.) to the square of ^ML, therefore as GM to ML,so is ML to MH,… … S N Q H perpendicular to the base and equal to the given straight line K,as was required; and the ratio of the sides GL, LH is the samewith the ratio of GM to ML, that is, with the ratio of the straightline which is made up of GN the half of the given base and of NM,the square of which is equal to…
Mathematics, Greek · Geometry · Trigonometry
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