Quintic Hermite Curve Applet
DIRECTIONS: In this applet, you create a curve that is
piecewise quintic polynomial. You need to specify six points for the first quintic
curve, and then three for each additional arc. The points are labelled
p_{i} where i=0,1,...,3n+2 and n is the
number of arcs given. The curve is specified according to the following scheme:
the point p_{3k} specifies the point on the curve when t=k,
the point p_{3k+1} specifices the derivative of the curve at
p_{3k} by specifying the vector
p_{3k+1}  p_{3k}, and
the point p_{3k+2} specifies the second derivative of
the curve at p_{3k} as p_{3k+2} 
p_{3k}.


