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