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  2. 9 Circles - Wikipedia

    en.wikipedia.org/wiki/9_Circles

    [1] [2] The play's title refers to Dante Alighieri's Inferno—in which Dante navigates a descent into the "nine circles of hell". In Cain's play, Green passes through his discharge from the Army and various judicial and administrative procedures, roughly paralleling the nine circles of Dante's Inferno. Cain structured the play so other cast ...

  3. NCERT textbook controversies - Wikipedia

    en.wikipedia.org/wiki/NCERT_textbook_controversies

    The poem Sabse Khatarnak by the Hindi poet Pash was included in the NCERT textbook for 11th standard Hindi students in 2006. In 2017, the BJP government affiliated RSS tried to remove it but failed. [25] [26] The NCERT made two controversial changes to the class XII political science textbook ‘Politics in India Since Independence’ in 2017.

  4. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    An inversion in their tangent point with respect to a circle of appropriate radius transforms the two touching given circles into two parallel lines, and the third given circle into another circle. Thus, the solutions may be found by sliding a circle of constant radius between two parallel lines until it contacts the transformed third circle.

  5. Nine Circles - Wikipedia

    en.wikipedia.org/wiki/Nine_Circles

    In 2009 Fialas youngest son Patrick surfed through the Internet and found out about his mothers former band. [3] Much to her surprise Fiala found that people were interested in her music, that the "Radio Nome" LP was sold for insane prices, [7] and that even a whole CD of Nine Circles was released without her knowledge. [4]

  6. Incircle and excircles - Wikipedia

    en.wikipedia.org/wiki/Incircle_and_excircles

    The nine-point circle is tangent to the incircle and excircles. In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are: [28] [29] The midpoint of each side of the triangle; The foot ...

  7. Nine dots puzzle - Wikipedia

    en.wikipedia.org/wiki/Nine_dots_puzzle

    One solution of the nine dots puzzle. It is possible to mark off the nine dots in four lines. [13] To do so, one goes outside the confines of the square area defined by the nine dots themselves. The phrase thinking outside the box, used by management consultants in the 1970s and 1980s, is a restatement of the solution strategy. According to ...

  8. Apollonian gasket - Wikipedia

    en.wikipedia.org/wiki/Apollonian_gasket

    The Möbius transformations of the plane preserve the shapes and tangencies of circles, and therefore preserve the structure of an Apollonian gasket. Any two triples of mutually tangent circles in an Apollonian gasket may be mapped into each other by a Möbius transformation, and any two Apollonian gaskets may be mapped into each other by a Möbius transformation.

  9. Seven circles theorem - Wikipedia

    en.wikipedia.org/wiki/Seven_circles_theorem

    Seven circles theorem. In geometry, the seven circles theorem is a theorem about a certain arrangement of seven circles in the Euclidean plane.Specifically, given a chain of six circles all tangent to a seventh circle and each tangent to its two neighbors, the three lines drawn between opposite pairs of the points of tangency on the seventh circle all pass through the same point.