  We consider an appoximation of a catenoid constructed from "odd" truncated
cones that maintains minimality in a certain sense. Thorough this procedure, we
obtain a discrete curve approximating a catenary by exploiting the fact that it
is the function that generates a catenoid. In this investigation, the theory of
the Gauss hypergeomtric functions plays an important role. This work is a
sequel to [Y.Machigashira, Piecewise truncated conical minimal surfaces and the
Gauss hypergeometric functions, Journal of Math-for-Industry 4(2012), pp. 25-33
]. The paper covers an appoximation of a catenoid constructed from "even"
truncated cones that maintains minimality in the same sense.
  Keywords: catenary, catenoid, truncated cone, hypergeomtric function,
Chebyshev polynomial of the third kind.
