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Kažemo da je lik F poseban za trokut T ukoliko F može biti dobiven iz T korištenjem ravnala i šestara neovisno o redoslijedu vrhova od T. U ovom radu razmatra se postojanje trokuta s danim posebnim likom koji je točka, pravac, kružnica ili trokut., A figure F is said to be special for a triangle T if F can be determined from T by a ruler and compass construction, that does not depend on the order of vertices of T. In this paper, we deal with the problem of the existence of triangles with a given special figure that is a point, or a line, or a circle, or a triangle.

In this paper we characterize convex quadrilaterals that are inscribable in a rectangle, i.e. they are r-inscribable. We also study the problem of finding the rectangle of minimum area and the one of maximum area, if the convex quadrilateral is r-inscribable.