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For example, in linear algebra one studies abstract vector spaces such as three-dimensional Euclidean space.

In Euclidean space, staring at a point at infinity means that the lines of sight of the two eyes track parallel lines.

Russell Markert’s original choreography makes abstraction mesmerizingly beautiful as it puts the Euclidean space in motion.

In Euclidean space, equilateral triangles have 60 degree angles, so the only way to fit them together in the plane is to put six of them around one point.

The 'extrinsic' approach views them in 'Euclidean space', rather like plotting them against the familiar axes of graphs — for example a sphere is the surface of a three-dimensional ball.