EX7
1.Construct the line segments joining
points of the curve with the corresponding center of curvature for the
nephroid
2.Construct the line segments
joining points of the curve with the corresponding center of curvature
for the astroid
3.Construct the line segments
joining points of the curve with the corresponding center of curvature
for the deltoid
4.Construct the line segments
joining points of the curve with the corresponding center of curvature
for the cardioid
5.Construct an animation displaying
the various positions of the osculating circle of the astroid
6.Construct an animation displaying
the various positions of the osculating circle of the deltoid
7.Construct an animation displaying
the various positions of the osculating circle of the cardioid
8.Construct an animation displaying
the various positions of the osculating circle of the cycloid
9.Construct an animation displaying
the various positions of the osculating circle of the ellipse
10.Construct an animation displaying
the various positions of the osculating circle of the "egg"
11.Construct an animation displaying
the various positions of the osculating circle of the " lemniscate of Bernoulli
"
12.Construct an animation displaying
the various positions of the osculating circle of the " curve "
13.Construct an animation displaying
the various positions of the osculating circle of the " spiral "