The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 329
possible, let the square on BD be to the square onFH as the circle ABCD is to any space greater than the circleEFGH. For, if possible, let it be as the circle ABCD is to a space Tgreater than the circle EFGH. Then, inversely, the square on FH is to the square on BI) asthe space T is to the circle… … 3% the square on FH is to the square on BD as the circle EFGH is to some space less than the circle ABCD, which has been shewn to be impossible; .. the square on BD is not to the square on FH as the circle ABCD is to any space greater than the circle EFGH. Also it has been shewn that the square on…
Euclid's Elements · Geometry · Mathematics, Greek
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