As diametrically in are mathematics two points on a circle or a sphere called that antipodes are. This means that the connecting line of the two points contains the center of the circle or sphere , the length of this connecting line corresponding to the diameter, i.e. double the radius . These points have the maximum possible distance from one another on the circular line or spherical surface . For every point on a circular line or spherical surface there is exactly one diametrical point.
In a figurative sense, diametrically also stands for "opposite" or "completely different".
The German adjective "diametral" comes from the Latin diametralis , which means "related to the diameter ". This is derived from the Latin loan word diameter , which is borrowed from the ancient Greek διάμετρος ( transliteration : diámetros ).
With other bodies
In a broader sense, the term diametrically is also used for other bodies, e.g. B. at the corners of a cube or cuboid . Two cube corners are diametrically opposite each other if there is a spatial diagonal of the cube between them (and not just an edge or side diagonal). The same applies to cuboids and various polyhedra (e.g. octahedron , dodecahedron , icosahedron , but not to tetrahedron ).
A similar definition describes those points on a body as diametrical if their distance from one another is greater than or equal to all other point distances in the body.
Use outside of math
In common parlance, the term is used to express that two argumentative standpoints are completely opposite, i.e. as far apart as possible.