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


Applications of Pascal's Theorem and Brianchon's Theorem


Poncelet's Porism

Steiner's Porism


Osculating circle of the conic