The Gemara rejects the geometric views of the dayanei dekeisari:
סוכה ח.-ח: (ש"ס ווילנא); ז"ל
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רבנן דקיסרי ואמרי לה דייני דקיסרי אמרי עיגולא דנפיק מגו ריבועא רבעא ריבועא דנפיק מגו עיגולא פלגא ולא היא דהא קחזינן דלא הוי כולי האי: עכ"ל
The Rabbis of Caesarea (and some say, The judges of Caesarea) maintain, The circumference of a circle inscribed in a square is a quarter [i.e., a quarter less than the perimeter of the square]; but the square inscribed within that circle is a half. But this is not correct, for we see that these are not so much bigger. [translation by Rev. Dr. Israel W. Slotki in The Babylonian Talmud, Rabbi Dr. I. Epstein, ed., Seder Mo'ed Vol. VI (Sukkah-Bezah), London: Soncino, 1938]
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