Computes the behaviour
of a catenary, as an inextensible cable, via the Nelder-Mead (NM)
algorithm. For details, see the plate by Newton-Raphson.
The method solves the original nconc ODE's.
† The coordinates of B must lie
in a unit circle, and the tension, q, is given as related
to the cable weight (due to the non-dimensional formulation).
‡ Mode: in solve mode, resolution is
attempted from mid-θ and mid-q;
in audit mode, an exploration is made in those ranges
(the "surface", however, is not shown here).
The graph shows:
(a) y (catenary) vs. x; or
(b) θ (green) and q (red)
vs. s.
Other proposed data: (.35, .35; 65, .005).
Problem suggested and managed by Prof. A.
Pinto da Costa, IST.
Draws plots of the polynomials and of the
(progressive) area.
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