Talmud Bavli
Talmud Bavli

Talmud for Eruvin 113:12

וכן ג' כפרים המשולשין אם יש בין שנים חיצונים מאה וארבעים ואחת ושליש עשה אמצעי את שלשתן להיות אחד:

only six hundred and sixty-seven minus a third?<span class="x" onmousemove="('comment',' If the difference between a square and a circle is a quarter of the former it is also (since the proportion of the two figures is 3:4) a third of the latter. The difference consequently between a line of two thousand cubits (which may be regarded as the diameter of a circle) and the diagonal of a square whose sides measure two thousand cubits should be a third of two thousand 2000/3 = 666 2/3 or 667 - 1/3.');"><sup>22</sup></span> - The other replied: This<span class="x" onmousemove="('comment',' That the approximate difference between the area of a square and that of a circle is a quarter of the former or a third of the latter.');"><sup>23</sup></span> applies only to a circle inscribed within a square, but in the case of the diagonal - of a square<span class="x" onmousemove="('comment',' In relation to any of its sides.');"><sup>24</sup></span>

Jerusalem Talmud Eruvin

HALAKHAH: Paragraph. “One gives a fore-court to the city5One does not start to measure the 2’000 cubits outside the town from the wall of the (easternmost, northernmost, etc.) house but only at a distance of √5000 ~ 70⅔ cubits (cf. Chapter 2, Note 82).,” etc. Rav Ḥuna in the name of [Rav]101Missing in L, inserted from the quote of the text by Rashba, col. 334. Rav Huna is not known to have had any teacher but Rav.: Rebbi Meïr and the rabbis explain the same verse. Rebbi Meïr explained: From the city wall, why does the verse say, outwards102Num. 35:4, Babli 57a. He reads the verse that one does not start measuring from the city wall but somewhere outside. The definition of “outside” is given over to the rabbinic authorities.? From here that one gives a fore-court to the city. The rabbis explained, outwards, why does the verse say, from the city wall? From that one does (not)103This was written by the scribe but (wrongly) deleted by the corrector who then (wrongly) inserted the relative pronoun in the following space. give a fore-court to the city104They read the word as stating that one measures outward at a right angle to the wall, starting from the wall.. Does this not mean that one gives a fore-court to the city105This refers to the second part of Mishnah 2, where it is stated that two villages less than 141⅓ cubits apart are considered a single village for the rules of the Sabbath. This statement seems incompatible with the reading of the verse attributed to the rabbis.? Rebbi Jacob bar Aḥa, Rebbi Abuna, Rebbi Naḥum in the name of Rebbi Samuel bar Abba, the Mishnah is finished105This refers to the second part of Mishnah 2, where it is stated that two villages less than 141⅓ cubits apart are considered a single village for the rules of the Sabbath. This statement seems incompatible with the reading of the verse attributed to the rabbis..
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