Parabolas ( 2D curves) problems

[Michael777]

Hello everybody,

I am trying to create a set of parabolas going through some points. My need is to know if in a plane (2D) three points determine uniquely an analytical curve (parabola, circle, hyperbola etc.). My Analytical Geometry knowledge is kind of rusty.

I don

 

[survey]

Famous Curves Index



Here is a link for some curves. I not sure if it will help.



Survey





http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html