
The curve <cos(t),sin(t),t> in red Two parameterizations of the curve The curve <cos(t),sin(t),t> in red Two parameterizations of the curve 
The curve <cos(t),sin(t),t> in red Unit tangent vectors for different t values The curve <cos(t),sin(t),t> in red Unit tangent vectors for different t values 
The curve <cos(t),sin(t),t> in red The unit tangent vector in purple The normal vector in cyan The binormal vector in yellow The curve <cos(t),sin(t),t> in red The unit tangent vector in purple The normal vector in cyan The binormal vector in yellow 
The curve <cos(t),sin(t),t> in red The unit tangent vector in purple The normal vector in cyan The binormal vector in yellow The normal plane The curve <cos(t),sin(t),t> in red The unit tangent vector in purple The normal vector in cyan The binormal vector in yellow The normal plane 
The curve <cos(t),sin(t),t> in red The unit tangent vector in purple The normal vector in cyan The binormal vector in yellow The osculating plane The curve <cos(t),sin(t),t> in red The unit tangent vector in purple The normal vector in cyan The binormal vector in yellow The osculating plane 
The curve <cos(t),sin(t),t> in red The unit tangent vector in purple The normal vector in cyan The binormal vector in yellow The osculating plane The osculating circle (and center) in orange The curve <cos(t),sin(t),t> in red The unit tangent vector in purple The normal vector in cyan The binormal vector in yellow The osculating plane The osculating circle (and center) in orange 