Search results
Results from the WOW.Com Content Network
One possibility to determine a polygon of points of the intersection curve of two surfaces is the marching method (see section References). It consists of two essential parts: The first part is the curve point algorithm, which determines to a starting point in the vicinity of the two surfaces a point on the intersection curve. The algorithm ...
The simplest case in Euclidean geometry is the line–line intersection between two distinct lines, which either is one point (sometimes called a vertex) or does not exist (if the lines are parallel). Other types of geometric intersection include: Line–plane intersection; Line–sphere intersection; Intersection of a polyhedron with a line
The elliptic plane may be further defined by adding a metric to the real projective plane. One may also conceive of a hyperbolic plane, which obeys hyperbolic geometry and has a negative curvature. Abstractly, one may forget all structure except the topology, producing the topological plane, which is homeomorphic to an open disk.
An anatomical plane is a hypothetical plane used to transect the body, in order to describe the location of structures or the direction of movements. In human and non-human anatomy, three principal planes are used: The sagittal plane or lateral plane (longitudinal, anteroposterior) is a plane parallel to the sagittal suture. It divides the body ...
The alternate spelling Frankfort plane is also widely used, and found in several medical dictionaries, although Frankfurt is the modern standard spelling of the city it is named for. Another name for the plane is the auriculo-orbital plane. Note that in the normal subject, both orbitales and both porions lie in a single plane.
The concept of angles between lines (in the plane or in space), between two planes (dihedral angle) or between a line and a plane can be generalized to arbitrary dimensions. This generalization was first discussed by Camille Jordan. [1]
If two lines ℓ 1 and ℓ 2 intersect, then ℓ 1 ∩ ℓ 2 is a point. If p is a point not lying on the same plane, then (ℓ 1 ∩ ℓ 2) + p = (ℓ 1 + p) ∩ (ℓ 2 + p), both representing a line. But when ℓ 1 and ℓ 2 are parallel, this distributivity fails, giving p on the left-hand side and a third parallel line on the right-hand side.
An orbital plane can also be seen in relative to conic sections, in which the orbital path is defined as the intersection between a plane and a cone. Parabolic (1) and hyperbolic (3) orbits are escape orbits, whereas elliptical and circular orbits (2) are captive. The orbital plane of a revolving body is the geometric plane in which its orbit lies.