← Tutorial page

Basic Topics of Projective Geometry

- Fundamentals 1                 Elements and Elementary Incidence
- Fundamentals 2                 Intervals:- Types, Equivalence and Identity
- Projective comparison 0    Perspectivity
- Projective comparison 1    Projectivity
- Projective comparison 2    Desargues
- Projective comparison 3    Skew Intervals
- Projective comparison 4    Two Intervals on a Line
- Projective comparison 5    Iteration of Identical Intervals: Projective Rulers
- Projective comparison 6    Intervals:- Inidentity, Non-equivalence, Mismatch
- Projective comparison 7    Replication of a Ruler “In Place”
- Projective comparison 8    Formal Proof of Invariant Incidence via Desargues Theorem
- Projective comparison 9    Skewed Equivalent Rulers and the possible Emergence of a Strictly Projective Curve
- Projective comparison 10  Questions of Continuity, and, The Fundamental Theorem (under development)
- Projective comparison 11  Line-wise and Point-wise Conics, from Duality — with a Euclidean Fudge.  First Intimations of Imaginary Elements.
- Projective comparison 12  Projective Motion of Elements:-  (1) Of a Point in a Line (under development)
- Projective comparison 13  Comparison of Interlinear Intervals - Intervals formed by Two Lines Incident in a Point, and with a Plane.


Further Basic Topics are Pending



                    - Discussions (1)    Concerning Conservation of Incidence, Continuity and Projective Surfaces
    - The Tetrahedral Complex    Because Hyperboloids are not Surfaces
      - On Real Linear Measure    A Demo, excluding the Imaginary
         - On Imaginary Measure    A Demo, including the Imaginary
         - 1 to 1 Correspondence    Resolution of a Difficulty with Euclid
         - Desargues: Five planes    Desargues Theorem arises automatically as the Incidence of Any Five Planes