Euclid's Muse

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Conic Sections

Some apps involving ellipses , hyperbolas and parabolas

Tags: conic, ellipse, parabola, hyperbola

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Ellipse as locus of circle center
Ellipse as locus of circle center
Take two overlapping circles.  Examine the locus of the center of the circles tangential to both. It seems to be an ellipse with foci at the centers of the two circles. Prove it.

Tags: ellipse, conic, focus

Ellipse Parametrization
Ellipse Parametrization
We examine a standard parametrization of an ellipse.

Tags: ellipse, conic-section, parametrization

Parabola Parametrization
Parabola Parametrization
Investigate the characteristics of the standard parametrization of a parabola.

Tags: parabola, conic-section, parameter

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