Curves | Geometric intersection

Intersection curve

In 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 3-space is a line. In general, an intersection curve consists of the common points of two transversally intersecting surfaces, meaning that at any common point the surface normals are not parallel. This restriction excludes cases where the surfaces are touching or have surface parts in common. 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 the intersection curve of two surfaces. (Wikipedia).

Intersection curve
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Free ebook http://tinyurl.com/EngMathYT Example discussing intersection of curves of two vector functions on one variable.

From playlist Engineering Mathematics

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From playlist Geometry

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From playlist Parallel Lines and a Transversal

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From playlist Set Theory

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From playlist Vector Valued Functions

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From playlist Calculus Pt 7: Multivariable Calculus

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From playlist Mathematics

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From playlist Ecole d'été 2019 - Foliations and algebraic geometry

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From playlist Geometry

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Related pages

Perpendicular | Surface (mathematics) | Line (geometry) | Intersection theory | Curve | Conic section | Geometry | Gaussian elimination | Quadric | Intersection