Isoperimetric Problem

Find a closed plane curve of a given length which encloses the greatest Area. The solution is a Circle. Ifthe class of curves to be considered is limited to smooth curves, the isoperimetric problem can be stated symbolically asfollows: find an arc with parametric equations , for such that , (where no further intersections occur) constrained by

References

Bogomolny, A. ``Isoperimetric Theorem and Inequality.'' http://www.cut-the-knot.com/do_you_know/isoperimetric.html.

Isenberg, C. Appendix V in The Science of Soap Films and Soap Bubbles. New York: Dover, 1992.

• Pollard Rho Factorization Method
• Poloidal Field
• Polyabolo
• Polyconic Projection
• Polycube
• Polydisk
• Polygamma Function
• Polygenic Function
• Polygon
• Polygonal Knot
• Polygonal Number
• Polygonal Spiral
• Polygon Circumscribing Constant
• Polygon Construction
• Polygon Division Problem
• Polygon Fractal
• Polygon Inscribing Constant
• Polygon Triangulation
• Polygram
• Polyhedral Formula
• Polyhedral Graph
• Polyhedron
• Polyhedron Coloring
• Polyhedron Compound
• Polyhedron Dissection