Intrinsic equation / curvature question...?
Prove if #|psi| # is small then #kappa approx (d^2y)/(dx^2) ( 1 - 3/2 tan^2 psi ) #
Prove if
1 Answer
Jul 29, 2018
For
By Binomial Expansion :
Because:
#y' = tan psi#
Then:
#tan psi ~~psi " for " abspsi " << "1 color(blue)(implies) abs(y') " << " 1 " if " abspsi "<< "1#
So ignoring
# kappa ~~ y'' (1 - 3/2tan^2psi ) " for " abspsi " << "1#