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Date: 6-8-2019
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Date: 28-4-2019
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Date: 19-5-2019
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Find the surface enclosing the maximum volume per unit surface area, . The solution is a sphere, which has
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The fact that a sphere solves the isovolume problem was only proved as recently as 1882 by Schwarz (Haas 2000).
REFERENCES:
Bogomolny, A. "Isoperimetric Theorem and Inequality." http://www.cut-the-knot.org/do_you_know/isoperimetric.shtml.
Haas, J. "General Double Bubble Conjecture in Solved." Focus: The Newsletter of the Math. Assoc. Amer., No. 5, pp. 4-5, May/June 2000.
Isenberg, C. "The Maximum Volume Contained by a Closed Surface of Fixed Area." Appendix VI in The Science of Soap Films and Soap Bubbles. New York: Dover, pp. 174-177, 1992.
Steinhaus, H. Mathematical Snapshots, 3rd ed. New York: Dover, p. 214, 1999.
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شراء وقود الطائرات المستدام.. "الدفع" من جيب المسافر
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