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 77
part therefore of the circumference, viz.BAG, is equal to the remaining part EDF. Therefore, in equalcircles, 8cc. Q. E. D. PROP. XXIX. THEOR. In equal circles equal circumferences are subtendedby equal straight lines. Let ABC, DEF be equal circles, and let the circumferencesBGC, EHF also be equal;… … G PI .-^ cumference EHF, the angle BKC is equal (27. 3.) to the angleELF : and because the circles ABC, DEF are equal, the straightlines from their centres are equal: therefore BK, KC are equalto EL, LF, and they contain equal angles: therefore the base BCis equal (4. 1.) to the base EF. Therefore,…
Mathematics, Greek · Geometry · Trigonometry
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