CS 15-491 A: COMPUTATIONAL PROJECTIVE
GEOMETRY
Fall 1998
History of projective geometry:
A detailed and readable account can be found on the WWW here at CMU by
consulting the Britannica
Online . Search for projective geometry. From the short article
you can go to the long article. The following topics are listed as the
contents of the encyclopedia:
PROJECTION
Perspective projection.
Points at infinity.
Projective theorems.
Desargues's theorem.
Pappus' (Pascal's) theorem.
Duality.
Projectively generated loci.
HOMOGENEOUS COORDINATES
Coordinates and transformations.
Geometry of one dimension.
The fundamental theorem.
Harmonic pairs.
COMPLEX GEOMETRY
Projective mappings.
Group properties.
ABSTRACT GEOMETRIES