#
Geometric Construction

**Basic
construction of the conics **

Applications
of the basic construction; orthogonal curves

Epicycloids
and hypocycloids: astroid, nephroid, deltoid, cardioid

Properties
of epi- and hypocycloids

Curves given
by equations

Double generation
and the osculating circle of the epi- and hypocycloids

Dissection of figures

3d design

Coupling

Applications of Pascal's Theorem and Brianchon's Theorem

Linkage

Poncelet's Porism

Steiner's Porism

Interpolation

Osculating circle of the conic