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  2. Lists of shapes - Wikipedia

    en.wikipedia.org/wiki/Lists_of_shapes

    They include mathematics topics and other lists of shapes, such as shapes used by drawing or teaching tools. ... List of circle topics; List of curves; List of ...

  3. Problem of Apollonius - Wikipedia

    en.wikipedia.org/wiki/Problem_of_Apollonius

    The same inversion transforms the third circle into another circle. The solution of the inverted problem must either be (1) a straight line parallel to the two given parallel lines and tangent to the transformed third given circle; or (2) a circle of constant radius that is tangent to the two given parallel lines and the transformed given circle.

  4. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    Packing squares in a square: Optimal solutions have been proven for n from 1-10, 14-16, 22-25, 33-36, 62-64, 79-81, 98-100, and any square integer. The wasted space is asymptotically O(a 3/5). Packing squares in a circle: Good solutions are known for n ≤ 35. The optimal packing of 10 squares in a square

  5. Power of a point - Wikipedia

    en.wikipedia.org/wiki/Power_of_a_point

    Determination of a circle, that intersects four circles by the same angle. [2] Solving the Problem of Apollonius; Construction of the Malfatti circles: [3] For a given triangle determine three circles, which touch each other and two sides of the triangle each. Spherical version of Malfatti's problem: [4] The triangle is a spherical one.

  6. Circle packing in a square - Wikipedia

    en.wikipedia.org/wiki/Circle_packing_in_a_square

    Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square. Equivalently, the problem is to arrange n points in a unit square aiming to get the greatest minimal separation, d n , between points. [ 1 ]

  7. Circle packing in a circle - Wikipedia

    en.wikipedia.org/wiki/Circle_packing_in_a_circle

    Circle packing in a circle is a two-dimensional packing problem with the objective of packing unit circles into the smallest possible larger circle. Table of solutions, 1 ≤ n ≤ 20 [ edit ]

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