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2. Plane–plane intersection - Wikipedia

   en.wikipedia.org/wiki/Plane–plane_intersection

   We wish to find a point which is on both planes (i.e. on their intersection), so insert this equation into each of the equations of the planes to get two simultaneous equations which can be solved for and .

3. Line–plane intersection - Wikipedia

   en.wikipedia.org/wiki/Line–plane_intersection

   The three possible plane-line relationships in three dimensions. (Shown in each case is only a portion of the plane, which extends infinitely far.) In analytic geometry, 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 the plane, and is ...

4. Line-cylinder intersection - Wikipedia

   en.wikipedia.org/wiki/Line-cylinder_intersection

   Green line has two intersections. Yellow line lies tangent to the cylinder, so has infinitely many points of intersection. 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. An arbitrary line and cylinder may have no intersection at all.

5. Intersection curve - Wikipedia

   en.wikipedia.org/wiki/Intersection_curve

   The analytic determination of the intersection curve of two surfaces is easy only in simple cases; for example: a) the intersection of two planes, b) plane section of a quadric (sphere, cylinder, cone, etc.), c) intersection of two quadrics in special cases. For the general case, literature provides algorithms, in order to calculate points of ...

6. Locus (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Locus_(mathematics)

   Each curve in this example is a locus defined as the conchoid of the point P and the line l.In this example, P is 8 cm from l. In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

7. Concurrent lines - Wikipedia

   en.wikipedia.org/wiki/Concurrent_lines

   Lines A, B and C are concurrent in Y. In geometry, lines in a plane or higher-dimensional space are concurrent if they intersect at a single point.. The set of all lines through a point is called a pencil, and their common intersection is called the vertex of the pencil.

8. Inversive geometry - Wikipedia

   en.wikipedia.org/wiki/Inversive_geometry

   A circle, that is, the intersection of a sphere with a secant plane, inverts into a circle, except that if the circle passes through O it inverts into a line. This reduces to the 2D case when the secant plane passes through O, but is a true 3D phenomenon if the secant plane does not pass through O.

9. File:Plane-Sphere Intersection.svg - Wikipedia

   en.wikipedia.org/wiki/File:Plane-Sphere...

   This licensing tag was added to this file as part of the GFDL licensing update. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License , Version 1.2 or any later version published by the Free Software Foundation ; with no Invariant Sections, no Front-Cover Texts, and no Back ...