Translation (geometry) Translation (geometry) In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. In Euclidean geometry a transformation is a one-to-one correspondence between two sets of points or a mapping from one plane to another. A translation can be described as a rigid motion: the other rigid motions are rotations, reflections and glide reflections. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. A translation operator is an
Singular point of an algebraic variety Analysis of these singular points can be reduced to the algebraic variety case by considering the jets of the mapping. The "k"-th jet is the Taylor series of the mapping truncated at degree "k" and deleting the constant term. In classical algebraic geometry, certain special singular points were also called nodes. A node is a singular point where the Hessian matrix is non-singular; this implies that the singular point has multiplicity two and the tangent cone is not singular outside its vertex. Singular point of an algebraic variety In the mathematical field of algebraic geometry, a singular point of an