engleski

Diagonal Triangle of a Non-Tangential Quadrilateral in the Isotropic Plane

Properties of the non-tangential quadrilateral ABCD in the isotropic plane concerning its diagonal triangle are given in this paper. A quadrilateral is called standard if a parabola with the equation x = y^2 is inscribed in it. Every non-tangential quadrilateral can be represented in the standard position. First, the vertices and the equations of the sides of the diagonal triangle are introduced. It is shown that the midlines of the diagonal triangle touch the inscribed parabola of the quadrilateral. Furthermore, quadrilaterals formed by two diagonals and some two sides of the non-tangential quadrilateral ABCD are studied and a few theorems on its foci are presented.

Isotropic plane ; Non-tangential quadrilateral ; Diagonal triangle ; Focus ; Median

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