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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