890704

七月二十五日作業
Construct the line segments joining points of the curve with the corresponding center of curvature for each of the following: the nephroid, the astroid, the deltoid and the cardioid.
1.第一個
2.第二個
3.第三個
4.第四個
Construct an animation displaying the various positions of the osculating circle of the following curves:
5.The astroid: (3 cos t + cos 3t, 3 sin t - sin 3t)
6.he deltoid: (2 cos t + cos 2t, 2 sin t - sin 2t)
7.The cardioid: (2 cos t - cos 2t, 2 sin t - sin 2t)
8.The cycloid: (t + sin t, cos t)
9.The ellipse: (5 cos t, 3 sin t)
10.The "egg": (5cos(t)-cos(2t), 3sin(t)-sin(2t)
11.The lemniscate of Bernoulli: (cos t / (2-(cost)^2), sin t cos t / (2-(cost)^2))
12.The curve (5 cos(t)^2 + sin(2 t), 3 cos(3 t) - sin(4 t))
13.The spiral: