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  2. Combinatorics of Finite Geometries - Wikipedia

    en.wikipedia.org/wiki/Combinatorics_of_Finite...

    The types of finite geometry covered by the book include partial linear spaces, linear spaces, affine spaces and affine planes, projective spaces and projective planes, polar spaces, generalized quadrangles, and partial geometries. [1]

  3. File:High School Geometry Problem Solving.pdf - Wikipedia

    en.wikipedia.org/wiki/File:High_School_Geometry...

    English: Supplemental material for the High School Geometry Wikibook, providing teachers with additional activities, puzzles, and games to allow for additional problem solving opportunities. Date 7 December 2009

  4. Alhazen's problem - Wikipedia

    en.wikipedia.org/wiki/Alhazen's_problem

    An algebraic solution to the problem was finally found first in 1965 by Jack M. Elkin (an actuary), by means of a quartic polynomial. [8] Other solutions were rediscovered later: in 1989, by Harald Riede; [9] in 1990 (submitted in 1988), by Miller and Vegh; [10] and in 1992, by John D. Smith [3] and also by Jörg Waldvogel. [11]

  5. Envelope (mathematics) - Wikipedia

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

    In geometry, an envelope of a planar family of curves is a curve that is tangent to each member of the family at some point, and these points of tangency together form the whole envelope. Classically, a point on the envelope can be thought of as the intersection of two " infinitesimally adjacent" curves, meaning the limit of intersections of ...

  6. Problem of Apollonius - Wikipedia

    en.wikipedia.org/wiki/Problem_of_Apollonius

    Let a pair of solution circles be denoted as C A and C B (the pink circles in Figure 6), and let their tangent points with the three given circles be denoted as A 1, A 2, A 3, and B 1, B 2, B 3, respectively. Gergonne's solution aims to locate these six points, and thus solve for the two solution circles.

  7. Deformation (mathematics) - Wikipedia

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

    The most salient deformation theory in mathematics has been that of complex manifolds and algebraic varieties.This was put on a firm basis by foundational work of Kunihiko Kodaira and Donald C. Spencer, after deformation techniques had received a great deal of more tentative application in the Italian school of algebraic geometry.

  8. Geometrization conjecture - Wikipedia

    en.wikipedia.org/wiki/Geometrization_conjecture

    A model geometry is a simply connected smooth manifold X together with a transitive action of a Lie group G on X with compact stabilizers. A model geometry is called maximal if G is maximal among groups acting smoothly and transitively on X with compact stabilizers. Sometimes this condition is included in the definition of a model geometry.

  9. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Prizes are often awarded for the solution to a long-standing problem, and some lists of unsolved problems, such as the Millennium Prize Problems, receive considerable attention. This list is a composite of notable unsolved problems mentioned in previously published lists, including but not limited to lists considered authoritative, and the ...