On a Piece of Paper an a Pair of Scissors Pages 115-117

On a Piece of Paper an a Pair of Scissors
Pages 115-117
François Dubeau

DOI: http://dx.doi.org/10.6000/1927-5129.2015.11.15

Published: 17 February 2015

Abstract: 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.

Keywords: Lebesgue measure, continuity.