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2. Rigid transformation - Wikipedia

   en.wikipedia.org/wiki/Rigid_transformation

   In mathematics, a rigid transformation (also called Euclidean transformation or Euclidean isometry) is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points. [1] [self-published source] [2] [3] The rigid transformations include rotations, translations, reflections, or any sequence of ...

3. Straightedge and compass construction - Wikipedia

   en.wikipedia.org/wiki/Straightedge_and_compass...

   For example, using a compass, straightedge, and a piece of paper on which we have the parabola y=x 2 together with the points (0,0) and (1,0), one can construct any complex number that has a solid construction. Likewise, a tool that can draw any ellipse with already constructed foci and major axis (think two pins and a piece of string) is just ...

4. Euclidean vector - Wikipedia

   en.wikipedia.org/wiki/Euclidean_vector

   In modern geometry, Euclidean spaces are often defined from linear algebra. More precisely, a Euclidean space E is defined as a set to which is associated an inner product space of finite dimension over the reals E → , {\displaystyle {\overrightarrow {E}},} and a group action of the additive group of E → , {\displaystyle {\overrightarrow {E ...

5. Category:Elementary geometry - Wikipedia

   en.wikipedia.org/wiki/Category:Elementary_geometry

   Download as PDF; Printable version; ... Pages in category "Elementary geometry" The following 71 pages are in this category, out of 71 total. ... Euclidean geometry ...

6. Motion (geometry) - Wikipedia

   en.wikipedia.org/wiki/Motion_(geometry)

   For instance, a plane equipped with the Euclidean distance metric is a metric space in which a mapping associating congruent figures is a motion. [1] More generally, the term motion is a synonym for surjective isometry in metric geometry, [2] including elliptic geometry and hyperbolic geometry.

7. Homothety - Wikipedia

   en.wikipedia.org/wiki/Homothety

   In Euclidean geometry homotheties are the similarities that fix a point and either preserve (if >) or reverse (if <) the direction of all vectors. Together with the translations, all homotheties of an affine (or Euclidean) space form a group, the group of dilations or homothety-translations.