Locus of the Midpoint of a Chord in an Ellipse

2019-12-11 04:38
This GeoGebra example demonstrates the locus of the midpoint of a chord in an ellipse. By constructing an ellipse and its chords, and taking the midpoint of each chord, it dynamically shows the path formed by the midpoints as the chord moves within the ellipse. Combining the ellipse equation, the positional relationship between a line and a conic section, and the midpoint coordinate formula, this