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 157
me rea-son, the sector KGL is equal to each of the sectors BGC, CGK:in the same manner, the sectors EHF, FHM, MHN may be provedequal to one another: therefore, what multiple soever the circum-ference BL is of the circumference BC, the same multiple is thesector BGL of the sector BGC: for the same… … the circumference BL be greater than EN, the sector BGL isgreater than the sector EHN; and if less, less: since, then, thereare four magnitudes, the two circumferences BC, EF, and the twosectors BGC, EHF, and of the circumference BC, and sectorBGC, the circumference BL and sector BGL are any equal…
Mathematics, Greek · Geometry · Trigonometry
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