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
ual tothe angle ABC (8. 1.): and AB, that is LO, by the hypothesis,is less than LX; wherefore LO, OM fall within the triangle LXM;for if they fell upon its sides, or without it, they would be equal to,or greater than LX, XM (21. 1.): therefore the angle LOMy thatis the angle ABC, is greater than… … 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…
Mathematics, Greek · Geometry · Trigonometry
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