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
