the intersection of a line and a plane in three-dimensional space can be the empty set, a point, or a line. It is the entire line if that line is embedded...

In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case...

the intersection of a line and a line can be the empty set, a point, or another line. Distinguishing these cases and finding the intersection have uses...

analytic geometry, the intersection of two planes in three-dimensional space is a line. The line of intersection between two planes Π 1 : n 1 ⋅ r = h 1 {\displaystyle...

geometric intersection include: Line–plane intersection Line–sphere intersection Intersection of a polyhedron with a line Line segment intersection Intersection...

horizontal plane. For a plane, the two angles are called its strike (angle) and its dip (angle). A strike line is the intersection of a horizontal plane with...

the line touches the sphere in two points (case 3). Intersection_(geometry)#A_line_and_a_circle Analytic geometry Line–plane intersection Plane–plane intersection...

v_{3}} . The plane that the triangle is on, which is needed to calculate the ray-triangle intersection, is defined by a point on the plane, such as v 1...

Line-cylinder intersection is the calculation of any points of intersection, given an analytic geometry description of a line and a cylinder in 3d space...

in the extension intersect: the point of intersection lies where the plane intersection meets σ or the line at infinity. Thus the axiom of projective...

computational geometry, the multiple line segment intersection problem supplies a list of line segments in the Euclidean plane and asks whether any two of them...

arise when the intersection of the cone and plane is a closed curve. The circle is obtained when the cutting plane is parallel to the plane of the generating...

algorithms when Shamos and Hoey presented algorithms for line segment intersection in the plane in 1976. In particular, they described how a combination...

science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces...

geometry, an intersection curve is a curve that is common to two geometric objects. In the simplest case, the intersection of two non-parallel planes in Euclidean...

sagittal plane. Specific named parasagittal planes include: The midclavicular line crosses through the clavicle. Lateral sternal and parasternal planes. The...

higher dimension. For example, if a plane is tangent to a surface along a line, the intersection number along the line should be at least two. These questions...

projective plane cannot be embedded (that is without intersection) in three-dimensional Euclidean space. The proof that the projective plane does not embed...

Perpendicular intersections can happen between two lines (or two line segments), between a line and a plane, and between two planes. Perpendicularity...

geometry, the Poincaré half-plane model is a way of representing the hyperbolic plane using points in the familiar Euclidean plane. Specifically, each point...

both intersected by a third straight line (a transversal) in the same plane, the corresponding angles of intersection with the transversal are congruent...

set-theoretic intersection of the two subvarieties. However cycles may be in bad position, e.g. two parallel lines in the plane, or a plane containing a line (intersecting...

the dorsal skin and the median plane. Mid-ventral line: The intersection between the ventral skin and the median plane. Axillary lines Anatomical plane...

can be parameterized by drawing a line with slope t through the rational point, and an intersection with the plane quadratic curve; this gives a polynomial...

graph can also be represented as an intersection graph of line segments in the plane. However, intersection graphs of line segments may be nonplanar as well...

for all intersection points, it may be necessary to allow complex coordinates and include the points on the infinite line in the projective plane. For example:...

respectively to the intersection line, the first half plane, and the second half plane. The dihedral angle of these two half planes is defined by cos ⁡...

mathematics, a great circle or orthodrome is the circular intersection of a sphere and a plane passing through the sphere's center point. Any arc of a great...

be an ellipse, parabola or hyperbola in an appropriate affine plane) and joined by line segments in any order to form a hexagon, then the three pairs...

states that for any three circles in a plane, none of which is completely inside one of the others, the intersection points of each of the three pairs of...