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Construct the line segments joining points of the curve with the
corresponding center of curvature of the nephroid.
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Construct the line segments joining points of the curve with the
corresponding center of curvature of the astroid.
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Maple Files
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w701.mws
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w702.mws
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ºô¶»P¹Ï§Î
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Construct the line segments joining points of the curve with the
corresponding center of curvature of the deltoid.
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Construct the line segments joining points of the curve with the
corresponding center of curvature of the cardioid.
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Maple Files
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w703.mws
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w704.mws
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ºô¶»P¹Ï§Î
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Construct an animation displaying the various positions of the
osculating circle of the following curves: The astroid: (3 cos t + cos
3t, 3 sin t - sin 3t)
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The deltoid: (-2cos(t)-cos(-2t), -2sin(t)-sin(-2t))
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Maple Files
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w705.mws
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w706.mws
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ºô¶»P¹Ï§Î
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ÃD¥Ø
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The cardioid: (cos(t)+cos(2t), 2sin(t)-sin(2t)) |
The cycloid: (t+sin(t), cos(t)) |
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Maple Files
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w707.mws
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w708.mws
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ºô¶»P¹Ï§Î
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ÃD¥Ø
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The ellipse: (5cos(t), 3sin(t)) |
The "egg": (5cos(t)-cos(2t), 3sin(t)-sin(2t)) |
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Maple Files
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w709.mws
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w710.mws
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ºô¶»P¹Ï§Î
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The lemniscate of Bernoulli: (cos(t) / (2-cos(t) ^ 2), sin(t)
cos(t) / (2-cos(t)^2)) |
The curve (5cos(t)+sin(2t),3cos(3t)-sin(4t)) |
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Maple Files
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w711.mws
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w712.mws
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ºô¶»P¹Ï§Î
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ÃD¥Ø
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The sprial:
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Maple Files
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w713.mws
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ºô¶»P¹Ï§Î
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