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Everything about Intersection (geometry)
Shape formed from points common to other shapes
In geometry, an intersection between geometric objects is a point, line, or curve common to two or more objects. The simplest case in Euclidean geometry is the line–line intersection between two distinct lines, which either is one point or empty. Other types of geometric intersection include:Line–plane intersection Line–sphere intersection Intersection of a polyhedron with a line Line segment intersection Intersection curve Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Intersection (geometry)A 5-minute orientation
- Skim a recent paper: The Role of Intersection Geometry in Urban Air Pollution ManagementInfluential work since 2022
- Pick up a classic book: Regular sequences and resultantsThe most-reprinted book on the subject
- Read the landmark paper: Visibility and intersection problems in plane geometryCited 119 times
- Go sideways: EllipseA closely related topic
- Go sideways: Tangent lines to circlesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Visibility and intersection problems in plane geometry
Geometry optimisation on a hypersphere. Application to finding reaction paths from a conical intersection
Stochastic approach for modeling the effects of intersection geometry on turning vehicle paths
Differential geometry of intersection curves of two surfaces
Intersection forms and the geometry of lattice Chern-Simons theory
Geometry of the fringe field formed in the intersection of two Gaussian beams
Intersection theory in analytic geometry
Geometry of currents, intersection theory and dynamics of horizontal-like maps
🆕 Influential since 2022
The Role of Intersection Geometry in Urban Air Pollution Management
Effects of intersection geometry on flow velocity interference and flow rate redistribution in furcating fractures
Effect of stress-induced void heterogeneity and intersection geometry on heat transfer through 3D intersected rock fractures
Fault geometry and kinematics at the intersection of the Zemuhe, Daliangshan and Xiaojiang Faults
Intersection and Flattening of Surfaces in 3D Models through Computer-Extended Descriptive Geometry (CeDG)
📚 Books worth reading
Regular sequences and resultantsGünter Scheja, Gunter Scheja · 2001
Homological questions in local algebraJan R. Strooker · 1990
Joins and intersectionsH. Flenner, L. O'Carroll · 1999
The monodromy groups of isolated singularities of complete intersectionsWolfgang Ebeling · 1987
Capacity theory on algebraic curvesRobert S. Rumely · 1989
Recent progress in intersection theoryGeir Ellingsrud, Fulton, William · 2000
An introduction to intersection homology theoryFrances Clare Kirwan · 1988- 📕Geometric Design of Roads HandbookKeith M. Wolhuter · 2015
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Hyperbola In mathematics, a hyperbola (/haɪˈpɜːrbələ/ hy-PUR-bə-lə) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations…
- Parabola In mathematics, a parabola (/pəˈræbələ/ pə-RA-bə-lə) is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially…
- Circle A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of…
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