Colon (math)
If the graph of a curve runs through a point twice, this point is called a colon , if the curve is run several times , it is called a triple point , etc.
At this singular point , the eigenvalues of the Hessian matrix of the curve, in contrast to the isolated point and the return point (peak), are less than zero.
In the context of algebraic varieties , multiple zeros of such are also referred to as colon .
Examples
Examples of curves with a colon and a loop are:
- Extended cycloid ,
- Trisffektix ,
- Cartesian sheet ,
- Strophoids ,
- Conchoid and
- Pascal snail .