Euclidean Geometry, Foundations
- Hilbert's axioms
- Point
- Locus
- Line
- Parallel
- Angle
- Concurrent lines
- Adjacent angles
- Central angle
- Complementary angles
- Inscribed angle
- Internal angle
- Supplementary angles
- Angle trisection
- Congruence
- Reflection
- Rotation
- Coordinate rotations and reflections
- Translation
- Glide reflection
- Similarity
- Similarity transformation
- Homothety
- Shear mapping
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“We shall never resolve the enigma of the relation between the negative foundations of greatness and that greatness itself.”
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