**Dual Curves**

**ABSTRACT:
**“We have shown that curves in
projective space can be classified by

simple change of variables. Though not a classification, we can group a curve

in another way - by introducing its dual curve. Dual projective curves take the

tangents of a curve in projective space and map these tangent lines to points.

When this is done, we notice some interesting properties of the dual curve. For

example, we note that each curve has a unique dual curve and that when you take

dual of a dual curve, you return to the original curve. In my presentation, I

will introduce this dual curve and show ways of calculating it, as well as

other interesting properties of the dual curve and its pair.”