Mishnah
Mishnah

Comentário sobre Eruvin 4:8

אִם אֵינוֹ מַכִּיר, אוֹ שֶׁאֵינוֹ בָקִי בַהֲלָכָה, וְאָמַר, שְׁבִיתָתִי בִמְקוֹמִי, זָכָה לוֹ מְקוֹמוֹ אַלְפַּיִם אַמָּה לְכָל רוּחַ. עֲגֻלּוֹת, דִּבְרֵי רַבִּי חֲנִינָא בֶן אַנְטִיגְנוֹס. וַחֲכָמִים אוֹמְרִים, מְרֻבָּעוֹת, כְּטַבְלָא מְרֻבַּעַת, כְּדֵי שֶׁיְּהֵא נִשְׂכָּר לַזָּוִיּוֹת:

Se ele não reconhecer [uma árvore ou uma cerca] ou se não for especialista na halachá [e não souber que lhe valerá dizer: "Minha habitação é naquele lugar"] e ele diz: "Minha habitação está em meu lugar "(ou seja, onde quer que ele se encontre), seu lugar afeta a habitação para ele, dois mil côvados em um círculo por todos os lados, [pois em relação às cidades de refúgio das quais os dois mil côvados do tchum Shabat são derivados, está escrito (Números 35: 5): "Isto será para eles os espaços abertos das cidades" —Para isso (ou seja, para as cidades de refúgio), você adiciona os cantos (ao redor do círculo), mas não adiciona cantos aos que adquirem habitação no Shabbath.] Essas são as palavras de R. Chanina b. Antignos. Os sábios dizem: (dois mil côvados em a) quadrado, como em uma tábua quadrada, para que os cantos sejam ganhos. [Os rabinos expõem "Isto" (acima) como inclusivo, isto é, Como deve ser (a decisão para) todos os que adquirem habitação no Shabbath. A halachá está de acordo com os sábios. ("como em uma tábua quadrada" :) Rambam explica que, como é impossível fazer uma tábua exata, é ensinado: "como em uma tábua quadrada". Ou seja, da maneira que os homens costumam fazer, embora não seja exato. ("para que os cantos sejam conquistados") :) os quatro cantos da diagonal, que são uma adição ao círculo no meio do quadrado.]

Bartenura on Mishnah Eruvin

ואם אינו מכיר – a tree or a fence.
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English Explanation of Mishnah Eruvin

Introduction In this mishnah we learn of a debate concerning the measuring of the 2000 cubits which a person may walk on Shabbat.
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Bartenura on Mishnah Eruvin

או אינו בקי בהלכה – but he doesn’t know that it will benefit him when he says, that my Sabbath resting place is in a certain place, but he said “my Sabbath resting place is in its place,” he has acquired his place.
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English Explanation of Mishnah Eruvin

If he does not recognize [any tree or fence], or if he is not familiar with the halakhah, and said, “Let my present position be my Shabbat place”, his position acquires for him the right of movement two thousand cubits in any direction. In a circle, the words of Rabbi Hanina ben Antigonus. But the sages say: the distances are square, in the shape of a square tablet, so that he may gain the area of the corners. The mishnah deals with a person who is traveling on the road and doesn’t recognize anything in the distance (as the person did in yesterday’s mishnah) or with a person who doesn’t know that the halakhah allows him to establish his Shabbat place at a distance by making an oral statement. He thinks that because he is far away from the point he recognizes that he can’t set up his 2000 cubit ring from there. The person then says that his present position is where he will spend Shabbat. He now has 2000 cubits within which to move in all directions. This halakhah is actually obvious; even if he didn’t make any statement he still has 2000 cubits in which to move. The halakhah is probably here as an introduction to the next section.
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Bartenura on Mishnah Eruvin

עגולות – that regarding the Cities of Refuge, when we appoint them, we derive two thousand cubits of the Sabbath limit, as it is written (Numbers 35:5): “[You shall measure off two thousand cubits outside the town on the east side, two thousand on the south side, two thousand on the west side, and two thousand on the north side, with the town in the center.] That shall be the pasture for their towns.” To this one you give corners (see Talmud Eruvin 51a) which are corner-pieces, but you don’t give corner-pieces to those who set up Sabbath resting places, but the Rabbis who required square expound upon this to include like this (i.e., square) it will be for all Sabbath resting places, and the Halakha is according to the Sages.
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English Explanation of Mishnah Eruvin

According to Rabbi Hanina ben Antigonus, the 2000 cubits form a circle. That is to say one simply draws a circle with a 2000 cubit radius around the person and that is the area within which he may walk. The Sages hold that this area is actually a square, drawn around the 2000 cubit radius circle. The advantage to the sages’ position is that the corners of the square increase the area. The square’s total area is 4004 x 4004=16,032,016 cubits. Note that the additional four cubits takes into account the person’s personal four cubits which his body occupies. In contrast the circle’s area is 10022 (radius, including 2 for his own body) x 3.14 (pi)= 12,585,132 (approximately).
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Bartenura on Mishnah Eruvin

כטבלא מרובעת – Maimonides wrote that because it is impossible to make an exactly defined quadrangular, the Mishnah purposely taught "כטבלא מרובעת"/a square board, that is to say, as people are accustomed to make something square, even though it is not an exactly defined quadrangular.
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Bartenura on Mishnah Eruvin

נשכר את הזויות – four corners in its diameter of the quadrangular which is greater than the circle that is within it.
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