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