21 Aug
2018
21 Aug
'18
10:16 a.m.
Theorem: an arc of a circle that subtends angle θ from the center subtends angle θ/2 from a point on the circumference. -- Gene On Monday, August 20, 2018, 8:14:29 PM PDT, Fred Lunnon <fred.lunnon@gmail.com> wrote: << where f(n) is the geometric mean of chord-lengths of all chords of the unit circle containing say the point 1 >> This is not meaningful without specifying a distribution: is the integration wrt angle, rather than (say) arc length, or some other, more obscure weight function? See https://en.wikipedia.org/wiki/Bertrand_paradox_(probability) WFL