The parabola .
r(t)=< t, t^{2} >, -3 ≤ t ≤ 3 - Red: unit tangent vector,
**T**(t) - Green: unit normal vector,
**N**(t) - Yellow: Osculating Circle
(Repeating in an endless loop.) | |

The cubic .
r(t)=< t, t^{3} >, -2 ≤ t ≤ 2 - Red: unit tangent vector,
**T**(t) - Green: unit normal vector,
**N**(t) - Yellow: Osculating Circle
(Repeating in an endless loop.) | |

The quartic .
r(t)=< t, t^{4} >, -1 ≤ t ≤ 1 - Red: unit tangent vector,
**T**(t) - Green: unit normal vector,
**N**(t) - Yellow: Osculating Circle
(Repeating in an endless loop.) | |

The path .
r(t)=< 1+t^{3}, t^{2} >, -1 ≤ t ≤ 1 - Red: unit tangent vector,
**T**(t) - Green: unit normal vector,
**N**(t) - Yellow: Osculating Circle
(Repeating in an endless loop.) |