Euclidean Geometry

This page is a sub-page of our page on Metric Geometry.

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The sub-pages of this page are:

Geometric Optics
Geometric Shapes
The Golden Section (a.k.a. “The Golden Ratio” or “The Golden Number”)
Lines in the plane and planes in 3D-space

Swedish:

Linjer i planet och plan i 3D-rymden

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Related KMR-pages:

Projective Geometry
Affine Geometry
Projective Metrics
Non-Euclidean Geometry
The Euclidean Degeneration

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Other relevant sources of information:

Byrne’s Geometry. A reproduction of Oliver Byrne’s celebrated work from 1847 plus interactive diagrams, cross references, and posters designed by Nicholas Rougeux.

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The interactive simulations on this page can be navigated with the Free Viewer
of the Graphing Calculator.

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Two finite double-fixpoint harmonic yardsticks:

The interactive simulation that created this movie.

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Two similarity-related euclidean distance yardsticks
result as a limit when the double-fixpoint moves out towards infinity:

The interactive simulation that created this movie.

Angle geometry:

Approaching the euclidean absolute envelope at infinity
through the hyperbolic absolute envelope:

The interactive simulation that created this movie.

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Traversing the hyperbolic absolute envelope
close to euclidean infinity:

The interactive simulation that created this movie.

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Approaching the euclidean absolute envelope at infinity
through the elliptic absolute envelope:

The interactive simulation that created this movie.

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Traversing the elliptic absolute envelope
close to euclidean infinity:

The interactive simulation that created this movie.

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