On a Piece of Paper an a Pair of Scissors


 Lebesgue measure, continuity.

How to Cite

François Dubeau. (2015). On a Piece of Paper an a Pair of Scissors. Journal of Basic & Applied Sciences, 11, 115–117. https://doi.org/10.6000/1927-5129.2015.11.15


We discuss the problem of splitting a given geometrical plane figure in two regions of equal area by drawing a line through a given point in the plane. We also discuss the possibility of splitting the figure into regions in proportions p% and (1 - p)% of the area of the given figure.



Mihai C, Rakowski C. A piece of paper and a pair of scissors. Journal of Basic & Applied Sciences 2014; 10: 428-30. http://dx.doi.org/10.6000/1927-5129.2014.10.56

Halmos PR. Measure Theory. New York: Springer-Verlag 1974.

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Copyright (c) 2015 François Dubeau