Sukka 8
Rabbi Yohanan – round sukkah requires circumfrence for 24 people (follows Rabbi of 4x4 minimum)
1) 1 person per amah
12 is sufficient if we equate side = a circle inside a 4x4 square
16 is sufficient if we equate perimiters
16.8 is needed if we equate hypotenus & diameter = for a 4x4 square inside a circle (3 x 1.4 x 4)
2) 2/3 person per amah = 16
16.8 is needed
3) 1 person per amah but people sitting on outside = 18 amot for a diamater of 6
16.8 is needed and he rounded up
4) Judges of Caesarea
Circle in a square is ratio of 3/4 circle is 3a, square 4a
Square in a circle is a ratio of 1/1.5 square is 4a, circle is 1.4a x 3 = 4.2s
BUT AREA WORKS! square a2, circle is 3(.7a)2 = 1.5a2
Sponsored by Muriel and Alexander Seligson
