Reference for Eruvin 165:19

תנו רבנן (במדבר טו, כ) ראשית עריסותיכם

If again a third of the Jerusalem measure was meant, how much, [it could be retorted,] is a third of it? Fifty-eight minus one third;<span class="x" onmousemove="('comment',' 173/3 = 57 2/3.');">⁴¹</span> whereas the surplus is sixty-three! Is then the reference to the measure of Sepphoris? How much, [it may be asked,] is a third of it? Seventy minus one;<span class="x" onmousemove="('comment',' 207/3 = 69.');">⁴²</span> whereas the surplus is sixty-three! - Rather, explained R'Jeremiah it is this that was meant: It follows that the se'ah of Sepphoris exceeds that of the desert by nearly a third of itself<span class="x" onmousemove="('comment',' Since 207 - 144 = 63 and 207/3 = 69. 63 is nearly equal to 69.');">⁴³</span> and that a third of itself<span class="x" onmousemove="('comment',' 69.');">⁴⁴</span> is nearly equal to a half of th desert measure.<span class="x" onmousemove="('comment',' 144/2 = 72. This figure is quite near to 69.');">⁴⁵</span> Rabina demurred: Was any mention at all made of approximation?<span class="x" onmousemove="('comment',' Lit., 'near, near he taught'. How then could it be maintained by R. Jeremiah that 'nearly' a third etc. was meant.');">⁴⁶</span> - Rather, explained Rabina, it is this that was meant: It follows that a third of the Sepphoris measure together with the surpluses spoken of by Rabbi<span class="x" onmousemove="('comment',' Sc. (207 + 207 X 1/20) X 1/3 = (207 + 10 7/20) X 1/3 = 217/3 approx. = 72 1/3 approx.');">⁴⁷</span> exceeds the half of the desert measure<span class="x" onmousemove="('comment',' 144/2 = 72.');">⁴⁸</span> by a third of an egg.<span class="x" onmousemove="('comment',' Since (cf. prev. two notes) 72 1/3 - 72 = 1/3.');">⁴⁹</span> Our Rabbis taught: Of the first of your dough<span class="x" onmousemove="('comment',' Ye shall set apart a cake for a gift (sc. as a dough-offering) ; Num. XV, 20.');">⁵⁰</span>

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