Arbelos

References

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Unpublished manuscript, 1998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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