MathPlotAI Logo MathPlotAI

Ellipse Definition

Ellipse Definition
Loading the math board and drawing, please wait…
2018-04-24 00:50
TrigonometryCoordinate GeometryTransformationGeometric Construction
This example demonstrates the geometric definition of an ellipse as the locus of points where the sum of distances to two fixed points (foci) is constant. It involves core concepts like ellipse equations, coordinate geometry, and geometric transformations (translation). Construction uses GeoGebra commands such as Intersect, Ellipse, Point, Segment, Midpoint, OrthogonalLine, and Textfield. Suitable for high school mathematics education to understand the algebraic and geometric definitions and properties of ellipses.

GeoGebra Commands & Parameters

  1. Intersect(a, c) → A
  2. Intersect(a, b) → B
  3. Ellipse(A, B, D) → d
  4. Point(d) → E
  5. Segment(E, A) → e
  6. Segment(E, B) → h
  7. Segment(D, B) → i
  8. Segment(D, A) → j
  9. Segment(A, B) → m
  10. Midpoint(A, B) → I
  11. OrthogonalLine(I, m) → n
  12. Textfield(K) → فیلدمتن2
  13. Text(e) → متن2
  14. Text(h) → متن3
  15. Textfield(C) → فیلدمتن1
  16. Segment(F, G) → g
  17. Point(g) → H