Wladimir G. Boskoff and Bogdan D. Suceava, Applications of Homogeneous Functions to Geometric Inequalities and Identities in the Euclidean Plane,
Forum Geometricorum, 5 (2005) 143--148.

Abstract: We study a class of geometric identities and inequalities that have a common pattern: they are generated by a homogeneous function. We show how to extend some of these homogeneous relations in the geometry of triangle. Then, we study the geometric configuration created by two intersecting lines and a pencil of $n$ lines, where the repeated use of Menelaus's Theorem allows us to emphasize a result on homogeneous functions.

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