Ebenso drei Dörfer in einem Dreieck —Wenn zwischen den beiden äußeren (und der mittleren) einhunderteinundvierzig und eine dritte Elle sind, bewirkt die mittlere, dass die drei als eine betrachtet werden. [("in einem Dreieck" :) Nicht unbedingt ein Dreieck, aber mit dem dritten in der Ferne gegenüber den äußeren, so dass es, wenn es zwischen ihnen platziert würde, nicht mehr als einhunderteinundvierzig und ein Drittel geben würde Ellen (jeweils siebzig und zwei Drittel Ellen) zwischen ihm und jedem der äußeren, in diesem Fall werden die drei als eins angesehen, so dass ein Mann, der einen von ihnen verlässt, um durch die anderen zu gehen, die zweitausend Ellen aus dem zählt Mauer des äußeren Dorfes. Dies, wenn zwischen der mittleren und der äußeren nicht mehr als zweitausend Ellen liegen. Denn da die (Männer von) dem Mittleren ohne Eruv zum Äußeren und umgekehrt gehen können, sagen wir, dass der Mittlere als zwischen ihnen platziert angesehen wird; aber wir sagen das nicht, wenn der Abstand größer als zweitausend Ellen ist.]
Bartenura on Mishnah Eruvin
וכן שלשה כפרים משולשים – on actually a triangle, but the third stands from afar corresponding to between the outer ones (i.e., towns) , and everything, for whereas, the middle [town] enters between them and there isn’t anything between this one and that one other than one-hundred and forty one and one-third cubits , which are seventy cubits and two-thirds [of a cubit] to this one, and seventy and two-thirds [of a cubit] to that one, and similarly, to the side of the other outer city/town. There is nothing between the middle one (i.e., town/city) and it other than one-hundred and forty-one cubits and one-third [of a cubit], all three of them (i.e., the towns/cities) are thought of as one [city/town]. But the person who leaves from one of them to to go through its neighbor counts from the wall of its outer neighbor. And how much should there be between the middle [city/town] to the outer [city/town]? Two-thousand cubits, for since the middle [town/city] is capable of going to the outer one and outer one to the middle one without an Eruv, we state that we see it as if the middle one is placed between them. But if it is further than two-thousand [cubits], we don’t say that we see it.
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English Explanation of Mishnah Eruvin
Introduction
This mishnah deals with three villages in the shape of a triangle. If they are close enough to each other they can be treated as one village, and one eruv can be set for all three and the Shabbat border is drawn around all three.
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English Explanation of Mishnah Eruvin
So also three villages arranged in the shape of a triangle, if between the two outer ones there is a distance of a hundred and forty-one and a third cubits, the middle one causes all the three of them to be regarded as one. In the previous mishnah we learned that if there were less than 70 and a fraction cubits between two towns, that they can be treated as one town and that the Shabbat border is drawn around the two of them together. Here we learn that if there are three towns in the shape of a triangle, the middle town can join the outer one’s together, as long as there is not an empty space of more than 140 and a third cubits (twice 70 and a fraction) between each outer town and the middle, joining town. In other words, they are all treated as if they are in a row, a situation which we dealt with in the previous mishnah.
