Geometry
Geometry
1. Foundations and Finite Geometries
1.1 Finite Geometries
1.2 Four Point Geometry
1.3 Five Point Geometry
1.4 Fano’s Geometry
1.5 Young’s Geometry
1.6 Searching for a Parallel Posutlate
2. Neutral Geometry
2.1 Congruence, Lines and Angles
2.2 Triangles
2.3 Quadrilaterals
3. Euclidean Geometry
3.1 CAIA and the Results of a Parallel Postulate
3.2 Parallel Lines
3.3 Area and Similarity
3.4 Right Triangles
3.5 Circles
3.6 Triangles
3.7 Cyclic Quadrilaterals
3.8 Exercises
4. Analytic Geometry
A.1 Affine Coordinates.
A.2 Proofs in Analytic Geometry
A.3 Trigonometry
A.4 Conic Sections
5. Constructions
C.1 Pathways for Constructions
C.2 Construction Theorems
Axioms for Euclidean Geometry
A.1 Eculid’s Elements
A.2 Hilbert’s Axioms
A.3 Birkhoff Axioms
A.4 SMSG Axioms
Dollar Sign Math for Geometry
Geometry Projects
The Gnomon
Quadrature
Regular Polygons
Cut the Knot
Index
