Ellipse Construction by Jonathan Holland
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In collections
Conic sections
This example demonstrates the geometric construction of an ellipse. Key math concepts involved include the definition of an ellipse, tangent lines, parallelograms, and complex numbers. The construction utilizes GeoGebra commands and objects such as Intersect, Circle, Point, Line, OrthogonalLine, Locus, and specific elements like A, C, d, B, c, D, f, g, F, h, G, i, j, I, loc1. It is suitable for high school and above students to understand the principles and geometric properties of ellipses.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → ACircle(A, C) → dCircle(A, B) → cPoint(c) → DLine(A, D) → fOrthogonalLine(A, f) → gPoint(c) → FLine(A, F) → hIntersect(d, h, 2) → GOrthogonalLine(F, f) → iOrthogonalLine(G, g) → jIntersect(j, i) → ILocus(I, F) → loc1