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 177
R than the three angles LXM, MXN, 1 ••3? NXL; that is, than four right anglebut the same angles ABC, DEF, GHKare less than four right angles; whichis absurd: therefore AB is not less thanLX, and it has been proved that it isnot equal to LX; wherefore AB isgreater than LX. Next, let the centre X of… … BOOK XI, THE ELEMENTS OF EUCLID. 175 / \ fall in one of the sides of the triangle, viz. in MN, and join XL: inthis case also AB is greater than LX. If not, AB is either equalto LX, or less than it; first, let it be equal to XL: therefore ABand BC, that is, DE and EF, are R equal to MX and XL, that…
Mathematics, Greek · Geometry · Trigonometry
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