Circular points at infinity information

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

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 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...

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

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...

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

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...

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...

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...

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...

tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. A cone is formed by a set of line...

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...

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...

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)...

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...

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...

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

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...

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...

along a circular path. The centripetal force is directed at right angles to the motion and also along the radius towards the centre of the circular path...

form a circle by joining them together at positive and negative infinity. A circular order on the disjoint union L1 ∪ L2 ∪ {–∞, ∞} is defined by ∞ < L1...

traveling along an escape orbit will coast along a parabolic trajectory to infinity, with velocity relative to the central body tending to zero, and therefore...

not. The open unit disk forms the set of points for the Poincaré disk model of the hyperbolic plane. Circular arcs perpendicular to the unit circle form...

geostationary orbit. In the idealized case, the initial and target orbits are both circular and coplanar. The maneuver is accomplished by placing the craft into an...