geometry based upon the postulates of Euclid, especially the postulate that only one line may be drawn through a given point parallel to a given line.
noun, Mathematics. 1. the set of rigid motions that are also affine transformations.
- Euclidean norm
mathematics The most common norm, calculated by summing the squares of all coordinates and taking the square root. This is the essence of Pythagoras’s theorem. In the infinite-dimensional case, the sum is infinite or is replaced with an integral when the number of dimensions is uncountable. (2004-02-15)
noun, Mathematics. 1. ordinary two- or three-dimensional space. 2. any vector space on which a real-valued inner product is defined.
eucrasia eu·cra·sia (yōō-krā’zhə, -zhē-ə) n.