Definition of Circle at infinity. Meaning of Circle at infinity. Synonyms of Circle at infinity

Here you will find one or more explanations in English for the word Circle at infinity. Also in the bottom left of the page several parts of wikipedia pages related to the word Circle at infinity and, of course, Circle at infinity synonyms and on the right images related to the word Circle at infinity.

Definition of Circle at infinity

Circle at infinity
4. (Math.) A quantity greater than any assignable quantity of the same kind. Note: Mathematically considered, infinity is always a limit of a variable quantity, resulting from a particular supposition made upon the varying element which enters it. --Davies & Peck (Math. Dict.). 5. (Geom.) That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity. Circle at infinity, an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass. Circular points at infinity. See under Circular.

Meaning of Circle at infinity from wikipedia

- In geometry and topology, the line at infinity is a projective line that is added to the real (affine) plane in order to give closure to, and remove the...
- In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line. In the case of an affine plane (including the...
- Infinity Pool is a 2023 science fiction horror film written and directed by Brandon Cronenberg, and starring Alexander Skarsgård, Mia Goth, and Cleopatra...
- The infinity symbol (∞) is a mathematical symbol representing the concept of infinity. This symbol is also called a lemniscate, after the lemniscate curves...
- Kleinian groups. For example, Cannon & Thurston (2007) showed that the circle at infinity of the universal cover of a fiber of a mapping torus of a pseudo-Anosov...
- reals but also to a point at infinity; otherwise, the leftmost point of the circle would be omitted. The equation of the circle determined by three points...
- linking Villarceau circles. Here each fiber projects to a circle in space (one of which is a line, thought of as a "circle through infinity"). Each torus is...
- geometry, the circular points at infinity (also called cyclic points or isotropic points) are two special points at infinity in the complex projective plane...
- zero and its focus is the center of the circle, but its directrix can only be taken as the line at infinity in the projective plane. The eccentricity...
- plane. The natural setting for generalized circles is the extended plane, a plane along with one point at infinity through which every straight line is considered...