Papers | |
[1] | Leon Bankoff, "A Mere Coincidence", Mathematics Newsletter, Los Angeles City College, Nov. 1954; reprinted in College Math. Journal 23, 1992, 106 [ Download PDF facsimile ] |
[2] | Leon Bankoff, "Are the twin circles of Archimedes really twins?", Mathematics Magazine 47, 1974, 214–218 |
[3] | Clayton W. Dodge, Thomas Schoch, Peter Y. Woo, Paul Yiu, "Those Ubiquitous Archimedean Circles", Mathematics Magazine 72, 1999, 202–213 [ Download PDF facsimile ] |
[4] | Martin Gardner, "Mathematical Games: The Diverse Pleasures of Circles that Are Tangent to One Another", Scientific American 240, Jan. 1979, 18–28 |
[5] | Peter Y. Woo, "Do arbelos twin circles grow like flowers?", Unpublished manuscript, 1998 |
Web resources | |
[6] | Bob Allanson, "Pappus's Arbelos" http://members.ozemail.com.au/~llan/arbelos.html |
[7] | Harold P. Boas, "Reflections on the Arbelos", PDF http://www.math.tamu.edu/~harold.boas/preprints/arbelos.pdf |
[8] | Alexander Bogomolny, "Arbelos - The Shoemaker's Knife" http://www.cut-the-knot.org/proofs/arbelos.shtml |
[9] | Emmanuel José García, "Garcia's Archimedean Quadruplets" http://www.cut-the-knot.org/m/Geometry/GarciaTwins.shtml |
[10] | Dick Klingens, "Een, volgens Pappos, oud probleem: de arbelos" http://www.pandd.demon.nl/arbelos.htm |
[11] | Jürgen Köller, "Arbelos" http://www.mathematische-basteleien.de/arbelos.htm |
[12] | Floor van Lamoen, "Archimedean Adventures", Forum Geometricorum 6, 2006 http://forumgeom.fau.edu/FG2006volume6/FG200609index.html |
[13] | Floor van Lamoen, "Online catalogue of Archimedean circles" http://home.planet.nl/~lamoen/wiskunde/Arbelos/Catalogue.htm |
[14] | Hiroshi Okumura and Masayuki Watanabe, "The Archimedean Circles of Schoch and Woo", Forum Geometricorum 4, 2004 http://forumgeom.fau.edu/FG2004volume4/FG200404index.html |
[15] | Hiroshi Okumura and Masayuki Watanabe, "The Twin Circles of Archimedes in a Skewed Arbelos", Forum Geom. 4, 2004 http://forumgeom.fau.edu/FG2004volume4/FG200428index.html |
[16] | Hiroshi Okumura and Masayuki Watanabe, "The Arbelos in n-Aliquot Parts", Forum Geometricorum 5, 2005 http://forumgeom.fau.edu/FG2005volume5/FG200506index.html |
[17] | Hiroshi Okumura, "Ubiquitous Archimedean Circles of the Collinear Arbelos ", KoG, 2013 http://master.grad.hr/hdgg/kog_stranica/kog16/koga16.htm |
[18] | Hiroshi Okumura, "Archimedean circles related to the Schoch line", Forum Geometricorum 14, 2014 http://forumgeom.fau.edu/FG2014volume14/FG201433index.html |
[19] | Hiroshi Okumura, "The Arbelos with Overhang", Hrčak, KoG, Vol.18. No.18. January 2015. http://hrcak.srce.hr/?show=clanak&id_clanak_jezik=197554 |
[20] | Hiroshi Okumura, "Archimedean circles passing through a special point", International Journal of Geometry, 4 (2015). April 2015. http://ijgeometry.com/volumes/vol-4-2015-no-1-april |
[21] | Thomas Schoch, "A Dozen More Arbelos Twins" [ View a cached copy of the original webpage ] |
[22] | Eric W. Weisstein et al. (MathWorld), "Arbelos" http://mathworld.wolfram.com/Arbelos.html |
[23] | Eric W. Weisstein et al. (MathWorld), "Schoch Line" http://mathworld.wolfram.com/SchochLine.html |
[24] | Eric W. Weisstein et al. (MathWorld), "Woo Circle" http://mathworld.wolfram.com/WooCircle.html |
[25] | Peter Y. Woo, "The Arbelos" http://woobiola.net/math/arbelos.htm |
[26] | Peter Y. Woo, "Leon Bankoff's Surprises" http://woobiola.net/math/arbel1.htm |
[27] | Peter Y. Woo, "Simple Constructions of the Incircle of an Arbelos", Forum Geometricorum 1, 2001 http://forumgeom.fau.edu/FG2001volume1/FG200119index.html |
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