Related Concepts
Definition
Euclidean geometry deals with properties of geometric configurations that are preserved under isometric (or length preserving) transformations. Alternatively, it may be characterized as a mathematical theory based on an axiom system (that can be traced back to Euclid) expressing, in modern terminology, incidence, order, congruence, continuity, and parallelity. Euclidean geometry is today a special case of many geometric theories (projective, affine, and Riemannian geometries, Hilbert spaces …).
Historical Background
Euclidean geometry has a long and glorious history (cf. [1, 2, 3]), having lived at the core of the development of science and culture since antiquity. It is today not an area of research per se, but still plays an important role in many contexts.
Euclidean geometry is one of the oldest manifestations of humans in science. The latter part of the word geometry originates from the Greek word metri’a for measure,...
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Sparr, G. (2014). Euclidean Geometry. In: Ikeuchi, K. (eds) Computer Vision. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-31439-6_751
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DOI: https://doi.org/10.1007/978-0-387-31439-6_751
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