Commentary for Eruvin 112:3

נמצאת העיר משתכרת ארבע מאות אמות לכאן וארבע מאות אמות לכאן נמצאו תחומין משתכרין ח' מאות אמות לכאן ושמונה מאות לכאן נמצאו העיר ותחומין משתכרין אלף ומאתים לכאן ואלף ומאתים לכאן

that a square tablet of th size of two thousand cubits by two thousand cubits is applied to each corner diagonally,<span class="x" onmousemove="('comment',' One extremity of the diagonal of the imaginary tablet touching in turn each of the four corners of the imaginary square, the diagonal of the latter forming a straight line with that of the former.');">⁷</span> so that the town gains thereby four hundred cubits in each corner,<span class="x" onmousemove="('comment',' Lit., 'towards here and . . towards here'. The town spoken of here (as stated by Abaye infra) is one that is circular in shape and the diameter of which is two thousand cubits. By enclosing it in an imaginary square the diagonal of which (on the rule that the diagonal of a square exceeds its side by two fifths approx.) the town is extended in each of its four corners by ( (2000 X 2/5) /2) = 4000/10 = 400 cubits (cf. foll. n.) .');">⁸</span> the Sabbath limits gain eight hundred cubits in each corner,<span class="x" onmousemove="('comment',' A line of two thousand cubits is by two fifths (cf. prev. n.) , less than the diagonal of a two thousand cubits square. 'A square tablet of the size of two thousand cubits by two thousand cubits applied to each corner diagonally' would consequently add to each corner two thousand cubits plus (2000 x 2) /5 = 800 cubits.');">⁹</span> while the town and the Sabbath limits together gain twelve hundred cubits<span class="x" onmousemove="('comment',' I.e., the total of 400 and 800 cubits in each of the inner and outer corners respectively.');">¹⁰</span>

Explore commentary for Eruvin 112:3. In-depth commentary and analysis from classical Jewish sources.