New answers tagged mathematics
6
This might simply have been a confusion of units. Sizes.com claims that a Russian verst is equal to 500 sazheni, but a Moscovy verst is 1000 sazheni. The sazhen was fixed at 7 English feet (2.134m) in both systems way back during the 1700s in Peter the Great's rule.
In 397:1, the Aruch HaShulchan says that specifically, he is talking about the Russian ...
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 ...
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