6.4 - Sukkah Daf 07 B (9 lines Up)
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English - November 26, 2020 15:42 - 11 minutes - 5.08 MB - ★★★★★ - 2 ratingsEducation torah makkos gemara five five minute 5 minute learn gemara learn torah tora jewish thought Homepage Download Apple Podcasts Google Podcasts Overcast Castro Pocket Casts RSS feed
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Summary
Rabbi Yochanan: A round sukkah [made “like a furnace”] is kosher if there is space for 24 people to sit around in the circle.
This must follow the opinion of Rebbi (2.1, 6.2) that a sukkah’s area must be 4x4 amos.
Challenge: Since a person’s seat is an amah, Rabbi Yochanan requires a circumference of 24 amos. Since the diameter of a circle is a third of its circumference, this round sukkah - which requires a diameter of 4 amos - should only have to seat 12?!
Resolution: Rebbi requires a square of 4x4 amos. Its area exceeds that of a circle with a 4 amah diameter.
Challenge: The circumference of a square is 25% more than that of a circle. Since our circle has a circumference of 12, the square needs only a circumference of 16 amos, not 24?!
Resolution: We need a circle that contains a square with a 16 amah circumference. Not a square that contains a 12 amah circle. Apparently, such a circle needs a circumference of 24 amos.