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 63
th-in the triangle MLD, from M, D,the extremities of its side MD;MK, KD are less, (21. 1.) thanML, LD virhereof MK is equal to E AML; therefore the remainder DK is less than the remainder DL:in like manner it may be shown that DL is less than DH; there-fore DG is the least, and DK less than DL, and… … BOOK III. THE ELEMENTS OF EUCLID. 61 G to the angle DMK, and join DB; and because MK is equal to MB,and MD common to the triangles KMD, BMD, the two sidesKM, MD are equal to the two BM, MD; and the angle KMD isequal to the angle BMD; therefore the base DKis equal to (4. 1.)the base DB : but,…
Mathematics, Greek · Geometry · Trigonometry
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