Carl Eberhart, Revisiting the quadrisection problem of Jacob Bernoulli,
Forum Geometricorum, 18 (2018) 7--16.
Abstract. Two perpendicular segments which divide a given triangle into 4
regions of equal area is called a quadrisection of the
triangle. Leonhard Euler proved in 1779 that every scalene
triangle has a quadrisection with its triangular part on the
middle leg. We provide a complete description of the
quadrisections of a triangle. For example, there is only one
isosceles triangle which has exactly two quadrisections.
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