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5

In Rava's scenario the entire square is the numerator, so it's not (green/orange), but ((green+orange+gray)/orange). So for your second diagram, the formula should be: BigArea/MigrashArea = ((2(r+1000+1000))^2)/(3(r+1000)^2 - 3r^2) or 3.6x10^7 / 9x10^6 = 4 Abaye, on the other hand, doesn't include the city, so for him it's ((green+orange)/orange). Since ...


5

Rabbi Avraham Danczig -- best-known for his work Chayei Adam (c. 1800), describes his own life's struggle as a businessman trying to find time for Torah in the introduction to his work Chochmas Adam. He discusses it there. It's not that merchants are arrogant, the point was a warning "if you let yourself get too caught up in your work, you'll never have ...


5

The Gemara in Eruvin 43b discusses how R. Gamliel was able to measure the distance. The Gemara says that R. Gamliel had a hollow tube with which he was able to look and sight a distance of 2000 Amos. Per Rashi a long hollow tube narrows and shortens the viewer's range. The length of the tube can be calibrated to yield a maximum sighting distance of 2000 ...


5

Eruvin 1:10 is actually talking about a different kind of mechitzah, one based on the halachic principle of lavud (where objects within three tefachim of each other are considered joined). So the case there is that they place vertical stakes in the ground, each within three tefachim of the next. (The previous mishnah describes the opposite case - where they ...


3

@Gershon's answer is spot on. But just in case not everyone agrees, I will offer another. You state in your comment that there are many ma'amarei chazal which state that Avraham was the first person to circumcise himself. This leads you to the presumption that Terach did not have a bris at all. However see Rashi on 15:15 from Bereshis Rabbah 30:4 that ...


3

In the positive integer number of Eruvin that I've seen, the Eruv excludes uninhabitable and purposeless land (such as cemeteries and bodies of water) from its boundary by encircling that land with another internal set of strings, poles and fences.


2

First considering that Gemarra was codified traditionally in 450 more likely in 960 in either case centuries after many of these debates occured, so precise details in how they occurred were not recorded by any person with living memory of them. However, there is no reason to believe that they occurred any differently than debates amongst Rabbanim(and more ...


2

Most city Eruvin use Matza as the food because it doesn't spoil quickly (Rama OC 368:5). There must be at least 6 (some say 8) eggs' worth of Matza, unless there are less than 18 people in the city in which case there needs to be one dried fig's worth per person (Sh"A OC 368:3). The Matza must belong to everyone. If one person wants to donate Matza to ...


1

unless this is where you got the question from, I would suggest that you see this blog post on the subject and the following discussion. There he brings the following three primary sources: Kli Yakar (Devarim 33:9):Who said to his father and to his mother, I have not seen him; nor did he acknowledge his brothers, nor knew his own children; for they ...


1

See Gittin 6b: אמר רב חםדא לעולם אל יטיל אדם אימה יתירה בתוך ביתו שהרי פילגש בגבעה הטיל עליה בעלה אימה יתירה והפילה כמה רבבות מישראל אמר רב יהודה אמר רב כל המטיל אימה יתירה בתוך ביתו סוף הוא בא לידי שלש עבירות גילוי עריות ושפיכות דמים וחילול שבת.‏ Rav Hisda said, "One must never instill excessive fear within his household, for (in the case ...



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