projective geometry, the circular points at infinity (also called cyclic points or isotropic points) are two special points at infinity in the complex projective...

denote the circular points at infinity. Draw the m tangents to C through each of I and J. There are two sets of m lines which will have m2 points of intersection...

curve is circular if and only if G(1, i, 0) = G(1, −i, 0) = 0. In other words, the curve is circular if it contains the circular points at infinity, (1, i...

all circles 'pass through' the circular points at infinity I = [1:i:0] and J = [1:−i:0]. These of course are complex points, for any representing set of...

curve which passes through the two circular points at infinity is called a circular cubic. The Neuberg cubic is a circular cubic. The isogonal conjugate of...

geometry, the isotropic lines are the ones passing through the circular points at infinity. In the real orthogonal geometry of Emil Artin, isotropic lines...

developed the concept of parallel lines meeting at a point at infinity and defined the circular points at infinity that are on every circle of the plane. These...

the line at infinity of the Euclidean plane and the absolute points are two special points on that line called the circular points at infinity. Lines containing...

in complex algebraic geometry is a conic passing through the circular points at infinity and has underlying topological space a 2-sphere rather than a...

theory can be constructed using the Osterwalder–Schrader axioms. Circular points at infinity § Imaginary transformation Complex spacetime Imaginary time Schwinger...

geometry. They have the advantage that the coordinates of points, including points at infinity, can be represented using finite coordinates. Formulas involving...

iy=-a.} This curve passes through the two circular points at infinity and is a special case of a focal circular Van Rees cubic. Let C be a circle through...

complex projective plane) the points I(1: i: 0) and J(1: −i: 0). These points are called the circular points at infinity. In polar coordinates, the equation...

the n=2 subsection of the article on the Fubini-Study metric. Circular points at infinity del Pezzo surface Toric geometry Fake projective plane C. E....

imaginary. The curve has double points at the circular points at infinity, in other words the curve is bicircular. These points are biflecnodes, meaning that...

the plane at infinity. Thus, one has a circular section if and only C has at least two real points and P contains one of these lines at infinity (that is...

cylindrical conics. A solid circular cylinder can be seen as the limiting case of a n-gonal prism where n approaches infinity. The connection is very strong...

A circular sector, also known as circle sector or disk sector or simply a sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle)...

simply a cone whose apex is at infinity. Intuitively, if one keeps the base fixed and takes the limit as the apex goes to infinity, one obtains a cylinder...

whose curvature changes linearly with its curve length (the curvature of a circular curve is equal to the reciprocal of the radius). This curve is also referred...

intersect at the point at infinity, then the other two intersection points must be on a line passing through the same point at infinity, so the line between...

are those where the fixed points coincide. Either or both of these fixed points may be the point at infinity. The fixed points of the transformation f (...

Directional statistics (also circular statistics or spherical statistics) is the subdiscipline of statistics that deals with directions (unit vectors in...

Girard Desargues Desarguesian plane Line at infinity Point at infinity Plane at infinity Hyperplane at infinity Projective line Projective plane Oval (projective...

point source at infinity, and the secondary mirror of the telescope constitutes the circular obstacle. When light shines on the circular obstacle, Huygens'...

the Infinity Stones akin to the Infinity Gauntlet and created to reverse the Blip. After the Avengers retrieve alternate versions of the six Infinity Stones...

be parameterized by unordered pairs of distinct points on a circle, the pairs of points at infinity of each line. This space, again, has the topology...

lens using circular arcs of equal (and large enough) radii centered at the two endpoints, then connecting the cusps of the lens (the two points where the...

at infinity, a single point placed on all the lines, and extend the inversion, by definition, to interchange the center O and this point at infinity....

completion has singular points. In this case, one says that the affine surface is singular at infinity. For example, the circular cylinder of equation x...