Published February 24, 2018 | Version v1
Journal article Open

Dynamic investigation of ellipses inscribed in a rectangle

  • 1. Shaanan-Academic College of Education, and Gordon Academic College of Education, Haifa, Israel
  • 2. Shaanan - Academic College of Education, Haifa , Israel
  • 3. Kibbutzim College of Education, Tel-Aviv, Israel

Description

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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