## 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.

- Projective comparison 14
Comparison of Interplanar Intervals - Intervals formed by Two Planes
Incident in a Line (still to come).

- Projective comparison 15
Two Perpectivities in One Centre. The Harmonic Quadrilateral. Fixed Duality - Polarity.

Further
Basic Topics are Pending

- Imaginary Elements
Consider a Ball in a Box.

- 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