• Thumbnail for Alexander Bogomolny
    Alexander Bogomolny (January 4, 1948  – July 7, 2018) was a Soviet-born Israeli-American mathematician. He was Professor Emeritus of Mathematics at the...
    10 KB (909 words) - 20:08, 24 August 2024
  • Thumbnail for Pythagorean theorem
    2307/2691395. JSTOR 2691395. Bogomolny, Alexander. "Pythagorean Theorem". Interactive Mathematics Miscellany and Puzzles. Alexander Bogomolny. Archived from the...
    94 KB (12,703 words) - 02:48, 6 January 2025
  • Thumbnail for Simpson's paradox
    "Understanding Simpson's Paradox" (PDF) Simpson's Paradox, a short article by Alexander Bogomolny on the vector interpretation of Simpson's paradox The Wall Street...
    29 KB (3,326 words) - 14:32, 3 January 2025
  • mathematics. Among the notable are the following: Cut-the-knot by Alexander Bogomolny Futility Closet by Greg Ross Mathologer by Burkard Polster The videos...
    11 KB (986 words) - 12:16, 10 November 2024
  • it a proof. Cut-the-Knot, an educational math website created by Alexander Bogomolny, refers to Keeler's result as the "Futurama Theorem", while mathematician...
    21 KB (2,710 words) - 01:15, 5 January 2025
  • Thumbnail for Apollonian gasket
    Apollonian fractals Weisstein, Eric W. "Apollonian Gasket". MathWorld. Alexander Bogomolny, Apollonian Gasket, cut-the-knot An interactive Apollonian gasket...
    24 KB (2,699 words) - 20:44, 27 October 2024
  • media related to Intercept theorem. Intercept Theorem at PlanetMath Alexander Bogomolny: Thales' Theorems and in particular Thales' Theorem at Cut-the-Knot...
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  • Thumbnail for Logarithmic spiral
    Logarithmic Spiral) and Its Related Curves, University of Georgia (1999) Alexander Bogomolny, Spira Mirabilis - Wonderful Spiral, at cut-the-knot Wikimedia Commons...
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  • Thumbnail for Pigeonhole principle
    and Puzzles"; basic Pigeonhole Principle analysis and examples by Alexander Bogomolny. "16 fun applications of the pigeonhole principle"; Interesting facts...
    31 KB (4,141 words) - 15:48, 18 November 2024
  • Thumbnail for Law of cosines
    Clark University. Alexander Bogomolny credits this proof to teacher John Molokach (2011), but it may be older. Bogomolny, Alexander. "The Law of Cosines...
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  • Thumbnail for Minkowski addition
    Demonstrations Project. Minkowski's addition of convex shapes by Alexander Bogomolny: an applet Wikibooks:OpenSCAD User Manual/Transformations#minkowski...
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  • a circle with a straightedge". Stack Exchange. August 15, 2015. Alexander Bogomolny "When A Quadrilateral Is Inscriptible?" at Cut-the-knot Paul Kunkel...
    34 KB (5,203 words) - 17:16, 29 November 2024
  • "Kaddish" for solo horn. David Bogomolny chronicled his yearlong recitation of kaddish in honor of his father Dr. Alexander Bogomolny, originally on The Times...
    72 KB (7,123 words) - 03:15, 2 January 2025
  • Thumbnail for Newton line
    1007/0-387-33430-0. ISBN 0-387-24299-6. Weisstein, Eric W. "Léon Anne's Theorem". MathWorld. Alexander Bogomolny: Bimedians in a Quadrilateral at cut-the-knot.org...
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  • 4153/CMB-1976-071-6. MR 0444558. Includes many references. Weisstein, Eric W. "Beatty Sequence". MathWorld. Alexander Bogomolny, Beatty Sequences, Cut-the-knot...
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  • Thumbnail for Pitot theorem
    Technology, 24 (2): 65–82, doi:10.1080/0020739930240204, MR 2877281. Alexander Bogomolny, "When A Quadrilateral Is Inscriptible?" at Cut-the-knot "A generalization...
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  • geologist Maria Vasillievna Pavlova - paleontologist Victor Della-Vos Alexander Bogomolny, Israeli American mathematician; creator of the mathematical education...
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  • Feliciano Amaral, 97, Brazilian pastor and evangelical singer. Alexander Bogomolny, 54, Israeli-American mathematician. Ralph T. Browning, 76, American...
    178 KB (12,725 words) - 17:05, 7 January 2025
  • Thumbnail for Napoleon's theorem
    Geometry Revisited, pages 60-63. "Napoleon's Theorem". MathPages.com. Alexander Bogomolny. "Proof #2 (an argument by symmetrization)". Cut-the-knot.org. Retrieved...
    24 KB (3,183 words) - 02:02, 5 December 2024
  • " Reviewer Alexander Bogomolny calls it "an elegant fusion of mathematical ideas and practical aspects of fine art". Bogomolny, Alexander (September 2011)...
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  • Thumbnail for Bevan point
    Triangle Centers. X(40) = BEVAN POINT Weisstein, Eric W. "Bevan Point". MathWorld. Alexander Bogomolny. Bevan's Point and Theorem at cut-the-knot v t e...
    3 KB (210 words) - 02:01, 24 June 2024
  • 1007/s00022-007-1961-4, S2CID 123082256. Weisstein, Eric W. "Erdős-Mordell Theorem". MathWorld. Alexander Bogomolny, "Erdös-Mordell Inequality", from Cut-the-Knot....
    7 KB (1,106 words) - 17:26, 2 March 2024
  • Thumbnail for Complete quadrangle
    three circles meet in a pair of points, but, as can be seen in Alexander Bogomolny's animation of the same results, the pencil can be hyperbolic instead...
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  • Edsger W. (30 December 1975). "An open letter to Ross Honsberger". Alexander Bogomolny, Mathematical Morsels by Ross Honsberger from Interactive Mathematics...
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  • Bytes: John Tucker Bane , SIGACT News, doi:10.1145/2852040.2852045; Alexander Bogomolny, Cut the knot, [1]; Adhemar Bultheel, EMS Reviews, [2]; Brie Finegold...
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  • Thumbnail for Fractal curve
    2013). "14 amazing fractals found in nature". Retrieved 2020-05-17. Bogomolny, Alexander. "Fractal Curves and Dimension". cut-the-knot. Wolfram math on fractal...
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  • Thumbnail for Václav Chvátal
    Feature Column by Joseph Malkevitch Chvatal's Art Gallery Theorem in Alexander Bogomolny's Cut the Knot Obsession Archived 2017-03-20 at the Wayback Machine...
    18 KB (1,531 words) - 14:19, 28 December 2024
  • Thumbnail for Diameter
    David. "UTF-8 (Unicode) compose sequence". Retrieved 2018-07-13. Bogomolny, Alexander. "Conjugate Diameters in Ellipse". www.cut-the-knot.org. Raphson...
    7 KB (783 words) - 21:41, 8 January 2025
  • Thumbnail for Carroll diagram
    Maryland, USA: Johns Hopkins University Press. ISBN 0-8018-7434-3. Bogomolny, Alexander (2017) [1996]. "Lewis Carroll's Logic Game". Cut-the-knot. Archived...
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  • their centers. Bogomolny, Alexander. "A Property of Circle Through the Incenter". Cut-the-Knot. Retrieved 2016-01-26. Bogomolny, Alexander. "Midpoints of...
    10 KB (1,066 words) - 01:34, 12 September 2024