Point at infinity complex field, the set of points at infinity is a manifold. In artistic drawing and technical perspective, the projection on the picture plane of the point at infinity of a class of parallel lines is called their vanishing point. In hyperbolic geometry, points at infinity are typically named ideal points. Unlike Euclidean and elliptic geometries, each line has two points at infinity: given a line "l" and a point "P" not on "l", the right- and left-limiting parallels converge asymptotically to different points at infinity. All points at infinity together form the Cayley absolute or boundary of a hyperbolic plane.
Point-to-point (steeplechase) Point-to-point (steeplechase) A point-to-point is a form of horseracing over fences for hunting horses and amateur riders. In Ireland, where the sport is open to licensed - i.e. professional - trainers, many of the horses will appear in these races before they compete in National Hunt races. Consequently, the Irish point-to-point is more used as a nursery for future young stars: a horse that wins its debut point-to-point in Ireland will often sell for a lot of money. Whilst professional trainers are specifically excluded from running horses in point-to-points in Great Britain (other than their own personal horses), the days