Tangents

Construct the tangents passing through an arbitrary point to an ellipse/hyperbola.

Construct an animation of a rectangle whose sides are tangent to a given ellipse/hyperbola.

Construct an animation displaying all pairs of orthogonal tangents to a given parabola.

Construct an animation displaying a pair of orthogonal tangents of a fixed cardioid.

Construct an animation displaying a cardioid sliding along two fixed mutually perpendicular lines.

Construct an animation of three concurrent tangents of the nephroid.

Construct an animation displaying a cardioid sliding along three fixed concurrent lines meeting at 120 degrees.

Construct an animation of two mutually perpendicular tangents of the deltoid.

Construct an animation of the deltoid sliding on two mutually perpendicular lines.

Construct an animation of three concurrent tangents of the astroid.

Construct an animation displaying an astroid sliding along three fixed concurrent lines meeting at 120 degrees.

Construct the rose curve of four petals given in polar coordinates by r = cos 2t and its tangent.

Construct the rose curve of three petals given in polar coordinates by r = cos 3t and its tangent.

Consider the Bowditch curve given by the parametric equations x = cos 3t
y = sin 4t Construct the Bowditch curve and its tangent.

 

Construct the ellipse from its tangent.

See also