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Geometric Construction 12

Construct the osculating circle of an ellipse and a hyperbola when the
foci are given.

JavaSketchpad
file

JavaSketchpad
file

Construct the osculating circle of a parabola when the focus is given.

Construct the osculating circle of an ellipse which is constructed according
to the parametric equations.

Construct the osculating circle of the hyperbola which is constructed according
to the parametric equations.

Construct the osculating circle of the lemniscate.

Draw the line segments from various points of the cardioid to the center
of curvature.

Draw the line segments from various points of the nephroid to the center
of curvature.

Draw the line segments from various points of the astroid to the center
of curvature.

Draw the line segments from various points of the deltoid to the center
of curvature.

Construct the osculating circle of the trochoid.