ABSTRACT

Any plane curve gives rise to other plane curves through a variety of general constructions. Each such construction can be thought of as a function which assigns one curve to another, and we shall discover some new curves in this manner. Four classic examples of constructing one plane curve from another are studied in the present chapter: evolutes in Sections 4.1 and 4.2, involutes in Section 4.3, parallel curves in Section 4.5 and pedal curves in Section 4.6.