Projective Geometry: the geometry behind algebraic equations

In the same fashion that a photograph is a
projection of an object in three dimensional
space onto a piece of paper (2D), if we
project curves or surfaces, that lie in higher
dimensional spaces, into three dimensional space;
what are the objects we will see?

As we explore the geometry we will strongly
rely on computer-assisted computations.
This is a novelty of our club in contrast
with traditional presentations of this subject.

Work sheet