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  2. Intersection - Wikipedia

    en.wikipedia.org/wiki/Intersection

    The circle (black) intersects the line (purple) in two points (red). The disk (yellow) intersects the line in the line segment between the two red points. The intersection of D and E is shown in grayish purple. The intersection of A with any of B, C, D, or E is the empty set.

  3. Intersection (geometry) - Wikipedia

    en.wikipedia.org/wiki/Intersection_(geometry)

    This proves that all points in the intersection are the same distance from the point E in the plane P, in other words all points in the intersection lie on a circle C with center E. [5] This proves that the intersection of P and S is contained in C. Note that OE is the axis of the circle. Now consider a point D of the circle C. Since C lies in ...

  4. Intersection (set theory) - Wikipedia

    en.wikipedia.org/wiki/Intersection_(set_theory)

    We say that intersects (meets) if there exists some that is an element of both and , in which case we also say that intersects (meets) at. Equivalently, A {\displaystyle A} intersects B {\displaystyle B} if their intersection A ∩ B {\displaystyle A\cap B} is an inhabited set , meaning that there exists some x {\displaystyle x} such that x ∈ ...

  5. Intersects - Wikipedia

    en.wikipedia.org/?title=Intersects&redirect=no

    Retrieved from "https://en.wikipedia.org/w/index.php?title=Intersects&oldid=1035160415"This page was last edited on 24 July 2021, at 01:54 (UTC). (UTC).

  6. Line–line intersection - Wikipedia

    en.wikipedia.org/wiki/Line–line_intersection

    A necessary condition for two lines to intersect is that they are in the same plane—that is, are not skew lines. Satisfaction of this condition is equivalent to the tetrahedron with vertices at two of the points on one line and two of the points on the other line being degenerate in the sense of having zero volume.

  7. DE-9IM - Wikipedia

    en.wikipedia.org/wiki/DE-9IM

    Oracle's [15] "ANYINTERACT" is a synonym for intersects and "OVERLAPBDYINTERSECT" is a synonym for overlaps. Its "OVERLAPBDYDISJOINT" does not have a corresponding named predicate. In Region connection calculus operators offer some synonyms for predicates: disjoint is DC (disconnected), touches is EC (externally connected), equals is EQ.

  8. Hyperplane section - Wikipedia

    en.wikipedia.org/wiki/Hyperplane_section

    In mathematics, a hyperplane section of a subset X of projective space P n is the intersection of X with some hyperplane H.In other words, we look at the subset X H of those elements x of X that satisfy the single linear condition L = 0 defining H as a linear subspace.

  9. List of set identities and relations - Wikipedia

    en.wikipedia.org/wiki/List_of_set_identities_and...

    This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion.