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アポロニウスの問題 (Japanese Wikipedia)

Analysis of information sources in references of the Wikipedia article "アポロニウスの問題" in Japanese language version.

refsWebsite
Global rank Japanese rank
22doi.org
2nd place
6th place
7worldcat.org
5th place
19th place
6jstor.org
26th place
275th place
5harvard.edu
18th place
107th place
2dartmouth.edu
2,242nd place
5,960th place
2digizeitschriften.de
5,626th place
low place
2nih.gov
4th place
24th place
1umich.edu
459th place
1,980th place
1bnf.fr
124th place
1,428th place
1emis.de
low place
low place
1arxiv.org
69th place
227th place
1wolfram.com
513th place
882nd place
1pballew.net
low place
low place
1web.archive.org
1st place
1st place
1gutenberg.org
489th place
1,367th place

arxiv.org (Global: 69th place; Japanese: 227th place)

bnf.fr (Global: 124th place; Japanese: 1,428th place)

gallica.bnf.fr

dartmouth.edu (Global: 2,242nd place; Japanese: 5,960th place)

math.dartmouth.edu

digizeitschriften.de (Global: 5,626th place; Japanese: low place)

doi.org (Global: 2nd place; Japanese: 6th place)

emis.de (Global: low place; Japanese: low place)

gutenberg.org (Global: 489th place; Japanese: 1,367th place)

harvard.edu (Global: 18th place; Japanese: 107th place)

ui.adsabs.harvard.edu

abel.math.harvard.edu

jstor.org (Global: 26th place; Japanese: 275th place)

  • Coxeter HSM (1 January 1968). “The Problem of Apollonius”. The American Mathematical Monthly 75 (1): 5–15. doi:10.2307/2315097. ISSN 0002-9890. JSTOR 2315097. 
  • “Apollonius by Inversion”. Mathematics Magazine 56 (2): 97–103. (1983). doi:10.2307/2690380. JSTOR 2690380. 
  • Eppstein D (1 January 2001). “Tangent Spheres and Triangle Centers”. The American Mathematical Monthly 108 (1): 63–66. arXiv:math/9909152. doi:10.2307/2695679. ISSN 0002-9890. JSTOR 2695679. 
  • Oldknow A (1 April 1996). “The Euler-Gergonne-Soddy Triangle of a Triangle”. The American Mathematical Monthly 103 (4): 319–329. doi:10.2307/2975188. ISSN 0002-9890. JSTOR 2975188. 
    Weisstein, EW. “Four Coins Problem”. MathWorld. 2008年10月6日閲覧。
  • Pedoe D (1 June 1967). “On a theorem in geometry”. Amer. Math. Monthly 74 (6): 627–640. doi:10.2307/2314247. ISSN 0002-9890. JSTOR 2314247. 
  • Euler L (1810). “Solutio facilis problematis, quo quaeritur sphaera, quae datas quatuor sphaeras utcunque dispositas contingat” (ラテン語) (PDF). Mémoires de l'Académie des Sciences de St.-Pétersbourg 2: 17–28. http://www.math.dartmouth.edu/~euler/docs/originals/E733.pdf.  Reprinted in Euler's Opera Omnia, series 1, volume 26, pp. 334–343.
    Carnot L (1803) (フランス語). Géométrie de position. Paris: Imprimerie de Crapelet, chez J. B. M. Duprat. pp. 357, §416 
    Hachette JNP (September 1808). “Sur le contact des sphères; sur la sphère tangente à quatre sphères données; sur le cercle tangent à trois cercles donnés” (フランス語). Correspondance sur l'École Polytechnique 1 (2): 27–28. 
    Français J (January 1810). “De la sphère tangente à quatre sphères données” (フランス語). Correspondance sur l'École Impériale Polytechnique 2 (2): 63–66. 
    Français J (January 1813). “Solution analytique du problème de la sphère tangente à quatre sphères données” (フランス語). Correspondance sur l'École Impériale Polytechnique 2 (5): 409–410. 
    Dupin C (January 1813). “Mémoire sur les sphères” (フランス語). Correspondance sur l'École Impériale Polytechnique 2 (5): 423. 
    Reye T (1879) (ドイツ語) (PDF). Synthetische Geometrie der Kugeln. Leipzig: B. G. Teubner. https://www.gutenberg.org/files/17153/17153-pdf.pdf 
    Serret JA (1848). “De la sphère tangente à quatre sphères donnèes” (フランス語). Journal für die reine und angewandte Mathematik 37: 51–57. http://www.digizeitschriften.de/index.php?id=loader&tx_jkDigiTools_pi1%5BIDDOC%5D=510729. 
    Coaklay GW (1859–1860). “Analytical Solutions of the Ten Problems in the Tangencies of Circles; and also of the Fifteen Problems in the Tangencies of Spheres”. The Mathematical Monthly 2: 116–126. 
    Alvord B (1 January 1882). “The intersection of circles and intersection of spheres”. American Journal of Mathematics 5 (1): 25–44, with four pages of Figures. doi:10.2307/2369532. ISSN 0002-9327. JSTOR 2369532. 

nih.gov (Global: 4th place; Japanese: 24th place)

pmc.ncbi.nlm.nih.gov

pubmed.ncbi.nlm.nih.gov

pballew.net (Global: low place; Japanese: low place)

  • Beecroft H (1842). “Properties of Circles in Mutual Contact”. The Lady's and Gentleman's Diary 139: 91–96. 
    Beecroft H (1846). “Unknown title”. The Lady's and Gentleman's Diary: 51.  (MathWords online article Archived 2008-01-18 at the Wayback Machine.)

umich.edu (Global: 459th place; Japanese: 1,980th place)

quod.lib.umich.edu

web.archive.org (Global: 1st place; Japanese: 1st place)

  • Beecroft H (1842). “Properties of Circles in Mutual Contact”. The Lady's and Gentleman's Diary 139: 91–96. 
    Beecroft H (1846). “Unknown title”. The Lady's and Gentleman's Diary: 51.  (MathWords online article Archived 2008-01-18 at the Wayback Machine.)

wolfram.com (Global: 513th place; Japanese: 882nd place)

mathworld.wolfram.com

worldcat.org (Global: 5th place; Japanese: 19th place)

search.worldcat.org

  • Coxeter HSM (1 January 1968). “The Problem of Apollonius”. The American Mathematical Monthly 75 (1): 5–15. doi:10.2307/2315097. ISSN 0002-9890. JSTOR 2315097. 
  • Eppstein D (1 January 2001). “Tangent Spheres and Triangle Centers”. The American Mathematical Monthly 108 (1): 63–66. arXiv:math/9909152. doi:10.2307/2695679. ISSN 0002-9890. JSTOR 2695679. 
  • Oldknow A (1 April 1996). “The Euler-Gergonne-Soddy Triangle of a Triangle”. The American Mathematical Monthly 103 (4): 319–329. doi:10.2307/2975188. ISSN 0002-9890. JSTOR 2975188. 
    Weisstein, EW. “Four Coins Problem”. MathWorld. 2008年10月6日閲覧。
  • Pedoe D (1 June 1967). “On a theorem in geometry”. Amer. Math. Monthly 74 (6): 627–640. doi:10.2307/2314247. ISSN 0002-9890. JSTOR 2314247. 
  • “The Apollonian Packing of Circles”. Proc. Natl. Acad. Sci. USA 29 (11): 378–384. (December 1943). Bibcode: 1943PNAS...29..378K. doi:10.1073/pnas.29.11.378. ISSN 0027-8424. PMC 1078636. PMID 16588629. https://pmc.ncbi.nlm.nih.gov/articles/PMC1078636/. 
  • Euler L (1810). “Solutio facilis problematis, quo quaeritur sphaera, quae datas quatuor sphaeras utcunque dispositas contingat” (ラテン語) (PDF). Mémoires de l'Académie des Sciences de St.-Pétersbourg 2: 17–28. http://www.math.dartmouth.edu/~euler/docs/originals/E733.pdf.  Reprinted in Euler's Opera Omnia, series 1, volume 26, pp. 334–343.
    Carnot L (1803) (フランス語). Géométrie de position. Paris: Imprimerie de Crapelet, chez J. B. M. Duprat. pp. 357, §416 
    Hachette JNP (September 1808). “Sur le contact des sphères; sur la sphère tangente à quatre sphères données; sur le cercle tangent à trois cercles donnés” (フランス語). Correspondance sur l'École Polytechnique 1 (2): 27–28. 
    Français J (January 1810). “De la sphère tangente à quatre sphères données” (フランス語). Correspondance sur l'École Impériale Polytechnique 2 (2): 63–66. 
    Français J (January 1813). “Solution analytique du problème de la sphère tangente à quatre sphères données” (フランス語). Correspondance sur l'École Impériale Polytechnique 2 (5): 409–410. 
    Dupin C (January 1813). “Mémoire sur les sphères” (フランス語). Correspondance sur l'École Impériale Polytechnique 2 (5): 423. 
    Reye T (1879) (ドイツ語) (PDF). Synthetische Geometrie der Kugeln. Leipzig: B. G. Teubner. https://www.gutenberg.org/files/17153/17153-pdf.pdf 
    Serret JA (1848). “De la sphère tangente à quatre sphères donnèes” (フランス語). Journal für die reine und angewandte Mathematik 37: 51–57. http://www.digizeitschriften.de/index.php?id=loader&tx_jkDigiTools_pi1%5BIDDOC%5D=510729. 
    Coaklay GW (1859–1860). “Analytical Solutions of the Ten Problems in the Tangencies of Circles; and also of the Fifteen Problems in the Tangencies of Spheres”. The Mathematical Monthly 2: 116–126. 
    Alvord B (1 January 1882). “The intersection of circles and intersection of spheres”. American Journal of Mathematics 5 (1): 25–44, with four pages of Figures. doi:10.2307/2369532. ISSN 0002-9327. JSTOR 2369532. 

worldcat.org

  • Altshiller-Court N (1952). College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle (2nd edition, revised and enlarged ed.). New York: Barnes and Noble. pp. 222–227. ISBN 978-0-486-45805-2 
    Hartshorne, Robin (2000). Geometry: Euclid and Beyond. New York: Springer Verlag. pp. 346–355, 496, 499. ISBN 978-0-387-98650-0 
    Rouché, Eugène; Ch de Comberousse (1883) (フランス語). Traité de géométrie (5th edition, revised and augmented ed.). Paris: Gauthier-Villars. pp. 252–256. OCLC 252013267