Finding the Location of the Axes, the Vertices and the Foci of a Parabola, an Ellipse and a Hyperbola Using a Straightedge and a Compass

  • Moshe Stupel Shaanan Academic College of Education, and Gordon Academic College of Education, Haifa, Israel.
  • Avi Sigler Shaanan - Academic College of Education, Haifa , Israel.
  • Shula Weissman Gordon Academic College, Haifa, Israel.
Keywords: Geometrical constructions, Multiple solutions for one task, DGE � Dynamic geometry environments, DGS - Dynamic geometry software

Abstract

We present geometrical constructions using a straightedge and a compass in order to find the location of the axes, the vertices and the foci of a parabola, an ellipse and a hyperbola from their plots. The constructions are based on familiarity with theorems and special properties characterizing these loci, which therefore can be used for implementing and applying knowledge acquired during the studies of analytical geometry.

Published
2019-11-20
How to Cite
Stupel, M., Sigler, A., & Weissman, S. (2019). Finding the Location of the Axes, the Vertices and the Foci of a Parabola, an Ellipse and a Hyperbola Using a Straightedge and a Compass. Advances in Mathematics and Computer Science Vol. 4, 85-90. Retrieved from https://stm1.bookpi.org/index.php/amacs-v4/article/view/644
Issue
Advances in Mathematics and Computer Science Vol. 4
Section
Chapters