The procedure of definition of the polygon p

1) p

2) p

The solution corresponding to p

x

The proof is again assured by verifying the Horner schema.

( (a

The figure displays the auxiliary polygon p

p

1) B' is arbitrary on BC (2nd side of p

2) C' is the intersection of CD (3rd side of p

3) C'F is orthogonal to B'C' at C' and F is the projection of E on C'F.

Curve c is the geometric locus of F as B' varies on BC. It passes so many times through E as is the number of

a

Depending on the coefficients {a

1) Given the polygon p

2) Polygon p

In fact it is easily proved that p

3) Find the equation of the locus described by point F. Do the same for the more general polygon p

4) A locus problem related to this discussion is studied in MaclaurinDual.html .

5) The corresponding construction for the quartic is discussed in GraphicalSolutionQuartic.html .

GraphicalSolutionQuartic.html

GraphicalSolution.html

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