Dynamic investigation of ellipses inscribed in a rectangle

Moshe Stupel; Avi(Berman) Sigler; Idan Tal

Moshe Stupel Shaanan-Academic College of Education and Gordon Academic College of Education, Haifa, Israel
Avi(Berman) Sigler Shaanan - Academic College of Education, Haifa, Israel
Idan Tal Kibbutzim College of Education, Tel-Aviv, Israel

Keywords: Loci, Dynamic investigation, Geometric properties, Conservation and change.

Abstract

Described is a dynamic investigation of an ellipse inscribed in a rectangle, with a view to properties conserved while making changes. We find mathematically the locus from which an ellipse is viewed at an angle of 90°, as well as the locus of the foci of an ellipse rotated in a rectangle that inscribes it. Would also study the case where a given ellipse is inscribed by a parallelogram, the lengths of whose sides can be changed.

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