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Conics: Ellipse, Parabola, Hyperbola

by Anonymous

Drag points to see how a constant sum or difference of distances to two foci, or equal distance to a point and a line, produces ellipses, parabolas, and hyperbolas.

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About this app

Conic Sections is an interactive geometry lesson on ellipses, parabolas, and hyperbolas. Explore how each curve is defined by distances: the sum of distances to two foci, equal distance to a focus and a directrix, or a fixed difference between distances to two foci. Adjust parameters and move a point through guided missions while viewing the resulting diagrams and equations.

Use cases

  • High school students studying conic sections
  • Teachers demonstrating geometric definitions of conics
  • Learners reviewing ellipse, parabola, and hyperbola properties
  • Classroom practice with focal distance, directrices, and asymptotes

Features

  • Three interactive tabs for ellipses, parabolas, and hyperbolas
  • Controls for changing distance sums, differences, focal spacing, and point position
  • SVG diagrams showing foci, moving points, directrices, and asymptotes
  • Guided missions with reset and next controls
  • On-screen explanations of constant distance relationships and equations