Euclidean Geometry is the geometry that results from Euclid's axioms. It is our best model for planar geometry.

AxiomOfChoice
ComplexPlane
ContinuumHypothesis
EuclideanAlgorithm
KurtGoedel
MatrixTransformation
PerfectNumber
UncountableSet 		PoincaresDisc (none)
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↓
↓
↓
Axiom
Euclid 		NonEuclideanGeometry
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⇌

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EuclideanGeometry
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(none)
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↓
↓
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DedekindCut
Divisor
EuclideanAlgorithm
FamousPeople
HighestCommonFactor
KurtGoedel
MersennePrime
PerfectNumber
PoincaresDisc
PrimeNumber 		(none) (none)

Local neighbourhood - D3

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