John Nolton
Posts: 15
Joined: 10/11/2011

Problem 233 
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Benjamin Bloch has made some errors in his solution to problem #233.
In his solution to the angles of the plane triangle he will fine that in triangle FAP his sum of the interior angles is 180.02 deg. (180.02 deg = 180d 1m 12s, a big error). In triangle FHP his sum is 180.01 deg. (180.01 deg. = 180d 0m 36s) and in triangle FAG he has the sum as 180.02 deg.
Maybe Bloch just forgot that according to Euclidean geometry the sum of the interior angles of a triangle is equal to 180 degrees exactly. See Euclid's Elements book 1 Proposition 32.
John Nolton



Friday, November 4, 2011 at 12:40:03 AM 