Squaring the circle (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Squaring the circle" in English language version.

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mathscinet.ams.org

Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S. (1997). "The quest for pi". The Mathematical Intelligencer. 19 (1): 50–57. doi:10.1007/BF03024340. MR 1439159. S2CID 14318695.
Lam, Lay Yong; Ang, Tian Se (1986). "Circle measurements in ancient China". Historia Mathematica. 13 (4): 325–340. doi:10.1016/0315-0860(86)90055-8. MR 0875525. Reprinted in Berggren, J. L.; Borwein, Jonathan M.; Borwein, Peter, eds. (2004). Pi: A Source Book. Springer. pp. 20–35. ISBN 978-0387205717.
Bos, Henk J. M. (2001). "The legitimation of geometrical procedures before 1590". Redefining Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction. Sources and Studies in the History of Mathematics and Physical Sciences. New York: Springer. pp. 23–36. doi:10.1007/978-1-4613-0087-8_2. ISBN 978-1-4612-6521-4. MR 1800805.
Knorr, Wilbur Richard (1986). The Ancient Tradition of Geometric Problems. Boston: Birkhäuser. pp. 15–16. ISBN 0-8176-3148-8. MR 0884893.
Laczkovich, M. (1997). "On Lambert's proof of the irrationality of $π$ ". The American Mathematical Monthly. 104 (5): 439–443. doi:10.1080/00029890.1997.11990661. JSTOR 2974737. MR 1447977.
Fritsch, Rudolf (1984). "The transcendence of $π$ has been known for about a century—but who was the man who discovered it?". Results in Mathematics. 7 (2): 164–183. doi:10.1007/BF03322501. MR 0774394. S2CID 119986449.
Alperin, Roger C. (2005). "Trisections and totally real origami". The American Mathematical Monthly. 112 (3): 200–211. arXiv:math/0408159. doi:10.2307/30037438. JSTOR 30037438. MR 2125383.
Fuchs, Clemens (2011). "Angle trisection with origami and related topics". Elemente der Mathematik. 66 (3): 121–131. doi:10.4171/EM/179. MR 2824428.
Cajori, Florian (1918). "Pierre Laurent Wantzel". Bulletin of the American Mathematical Society. 24 (7): 339–347. doi:10.1090/s0002-9904-1918-03088-7. MR 1560082.
Więsław, Witold (2001). "Squaring the circle in XVI–XVIII centuries". In Fuchs, Eduard (ed.). Mathematics throughout the ages. Including papers from the 10th and 11th Novembertagung on the History of Mathematics held in Holbæk, October 28–31, 1999 and in Brno, November 2–5, 2000. Dějiny Matematiky/History of Mathematics. Vol. 17. Prague: Prometheus. pp. 7–20. MR 1872936.
Fukś, Henryk (2012). "Adam Adamandy Kochański's approximations of $π$ : reconstruction of the algorithm". The Mathematical Intelligencer. 34 (4): 40–45. arXiv:1111.1739. doi:10.1007/s00283-012-9312-1. MR 3029928. S2CID 123623596.
Schepler, Herman C. (1950). "The chronology of pi". Mathematics Magazine. 23 (3): 165–170, 216–228, 279–283. doi:10.2307/3029284. JSTOR 3029832. MR 0037596.
Abeles, Francine F. (1993). "Charles L. Dodgson's geometric approach to arctangent relations for pi". Historia Mathematica. 20 (2): 151–159. doi:10.1006/hmat.1993.1013. MR 1221681.
Singmaster, David (1985). "The legal values of pi". The Mathematical Intelligencer. 7 (2): 69–72. doi:10.1007/BF03024180. MR 0784946. S2CID 122137198. Reprinted in Berggren, Lennart; Borwein, Jonathan; Borwein, Peter (2004). Pi: a source book (Third ed.). New York: Springer-Verlag. pp. 236–239. doi:10.1007/978-1-4757-4217-6_27. ISBN 0-387-20571-3. MR 2065455.
Tubbs, Robert (December 2020). "Squaring the circle: A literary history". In Tubbs, Robert; Jenkins, Alice; Engelhardt, Nina (eds.). The Palgrave Handbook of Literature and Mathematics. Springer International Publishing. pp. 169–185. doi:10.1007/978-3-030-55478-1_10. ISBN 978-3-030-55477-4. MR 4272388. S2CID 234128826.

archive.org

Heath, Thomas (1921). History of Greek Mathematics. The Clarendon Press. See in particular Anaxagoras, pp. 172–174; Lunes of Hippocrates, pp. 183–200; Later work, including Antiphon, Eudemus, and Aristophanes, pp. 220–235.
Hobson, Ernest William (1913). Squaring the Circle: A History of the Problem. Cambridge University Press. pp. 34–35.

arxiv.org

Alperin, Roger C. (2005). "Trisections and totally real origami". The American Mathematical Monthly. 112 (3): 200–211. arXiv:math/0408159. doi:10.2307/30037438. JSTOR 30037438. MR 2125383.
Fukś, Henryk (2012). "Adam Adamandy Kochański's approximations of $π$ : reconstruction of the algorithm". The Mathematical Intelligencer. 34 (4): 40–45. arXiv:1111.1739. doi:10.1007/s00283-012-9312-1. MR 3029928. S2CID 123623596.

books.google.com

Plofker, Kim (2009). Mathematics in India. Princeton University Press. p. 27. ISBN 978-0691120676.
Lam, Lay Yong; Ang, Tian Se (1986). "Circle measurements in ancient China". Historia Mathematica. 13 (4): 325–340. doi:10.1016/0315-0860(86)90055-8. MR 0875525. Reprinted in Berggren, J. L.; Borwein, Jonathan M.; Borwein, Peter, eds. (2004). Pi: A Source Book. Springer. pp. 20–35. ISBN 978-0387205717.
Guicciardini, Niccolò (2009). Isaac Newton on Mathematical Certainty and Method. Transformations. Vol. 4. MIT Press. p. 10. ISBN 9780262013178.
Cotes, Roger (1850). Correspondence of Sir Isaac Newton and Professor Cotes: Including letters of other eminent men.
Robson, Eleanor; Stedall, Jacqueline, eds. (2009). The Oxford Handbook of the History of Mathematics. Oxford University Press. p. 554. ISBN 9780199213122.
Boyer, Carl B.; Merzbach, Uta C. (11 January 2011). A History of Mathematics. John Wiley & Sons. pp. 62–63, 113–115. ISBN 978-0-470-52548-7. OCLC 839010064.
Dixon, Robert A. (1987). "Squaring the circle". Mathographics. Blackwell. pp. 44–47. Reprinted by Dover Publications, 1991
Beckmann, Petr (2015). A History of Pi. St. Martin's Press. p. 178. ISBN 9781466887169.
Heisel, Carl Theodore (1934). Behold! : the grand problem the circle squared beyond refutation no longer unsolved.

bristol.ac.uk

seis.bristol.ac.uk

Bird, Alexander (1996). "Squaring the Circle: Hobbes on Philosophy and Geometry". Journal of the History of Ideas. 57 (2): 217–231. doi:10.1353/jhi.1996.0012. S2CID 171077338. Archived from the original on 16 January 2022. Retrieved 14 November 2020.

cam.ac.uk

cudl.lib.cam.ac.uk

Board of Longitude / Vol V / Confirmed Minutes. Cambridge University Library: Royal Observatory. 1737–1779. p. 48. Retrieved 1 August 2021.

dml.cz

Więsław, Witold (2001). "Squaring the circle in XVI–XVIII centuries". In Fuchs, Eduard (ed.). Mathematics throughout the ages. Including papers from the 10th and 11th Novembertagung on the History of Mathematics held in Holbæk, October 28–31, 1999 and in Brno, November 2–5, 2000. Dějiny Matematiky/History of Mathematics. Vol. 17. Prague: Prometheus. pp. 7–20. MR 1872936.

doi.org

Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S. (1997). "The quest for pi". The Mathematical Intelligencer. 19 (1): 50–57. doi:10.1007/BF03024340. MR 1439159. S2CID 14318695.
Lam, Lay Yong; Ang, Tian Se (1986). "Circle measurements in ancient China". Historia Mathematica. 13 (4): 325–340. doi:10.1016/0315-0860(86)90055-8. MR 0875525. Reprinted in Berggren, J. L.; Borwein, Jonathan M.; Borwein, Peter, eds. (2004). Pi: A Source Book. Springer. pp. 20–35. ISBN 978-0387205717.
Bos, Henk J. M. (2001). "The legitimation of geometrical procedures before 1590". Redefining Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction. Sources and Studies in the History of Mathematics and Physical Sciences. New York: Springer. pp. 23–36. doi:10.1007/978-1-4613-0087-8_2. ISBN 978-1-4612-6521-4. MR 1800805.
Burn, R.P. (2001). "Alphonse Antonio de Sarasa and logarithms". Historia Mathematica. 28: 1–17. doi:10.1006/hmat.2000.2295.
Crippa, Davide (2019). "James Gregory and the impossibility of squaring the central conic sections". The Impossibility of Squaring the Circle in the 17th Century. Springer International Publishing. pp. 35–91. doi:10.1007/978-3-030-01638-8_2. ISBN 978-3-030-01637-1. S2CID 132820288.
Laczkovich, M. (1997). "On Lambert's proof of the irrationality of $π$ ". The American Mathematical Monthly. 104 (5): 439–443. doi:10.1080/00029890.1997.11990661. JSTOR 2974737. MR 1447977.
Lindemann, F. (1882). "Über die Zahl π" [On the number π]. Mathematische Annalen (in German). 20 (2): 213–225. doi:10.1007/bf01446522. S2CID 120469397.
Fritsch, Rudolf (1984). "The transcendence of $π$ has been known for about a century—but who was the man who discovered it?". Results in Mathematics. 7 (2): 164–183. doi:10.1007/BF03322501. MR 0774394. S2CID 119986449.
Castellanos, Dario (April 1988). "The ubiquitous $π$ ". Mathematics Magazine. 61 (2): 67–98. doi:10.1080/0025570X.1988.11977350. JSTOR 2690037.
Alperin, Roger C. (2005). "Trisections and totally real origami". The American Mathematical Monthly. 112 (3): 200–211. arXiv:math/0408159. doi:10.2307/30037438. JSTOR 30037438. MR 2125383.
Fuchs, Clemens (2011). "Angle trisection with origami and related topics". Elemente der Mathematik. 66 (3): 121–131. doi:10.4171/EM/179. MR 2824428.
Cajori, Florian (1918). "Pierre Laurent Wantzel". Bulletin of the American Mathematical Society. 24 (7): 339–347. doi:10.1090/s0002-9904-1918-03088-7. MR 1560082.
Jagy, William C. (1995). "Squaring circles in the hyperbolic plane" (PDF). The Mathematical Intelligencer. 17 (2): 31–36. doi:10.1007/BF03024895. S2CID 120481094.
Fukś, Henryk (2012). "Adam Adamandy Kochański's approximations of $π$ : reconstruction of the algorithm". The Mathematical Intelligencer. 34 (4): 40–45. arXiv:1111.1739. doi:10.1007/s00283-012-9312-1. MR 3029928. S2CID 123623596.
Bird, Alexander (1996). "Squaring the Circle: Hobbes on Philosophy and Geometry". Journal of the History of Ideas. 57 (2): 217–231. doi:10.1353/jhi.1996.0012. S2CID 171077338. Archived from the original on 16 January 2022. Retrieved 14 November 2020.
Schepler, Herman C. (1950). "The chronology of pi". Mathematics Magazine. 23 (3): 165–170, 216–228, 279–283. doi:10.2307/3029284. JSTOR 3029832. MR 0037596.
Abeles, Francine F. (1993). "Charles L. Dodgson's geometric approach to arctangent relations for pi". Historia Mathematica. 20 (2): 151–159. doi:10.1006/hmat.1993.1013. MR 1221681.
Gardner, Martin (1996). The Universe in a Handkerchief: Lewis Carroll's Mathematical Recreations, Games, Puzzles, and Word Plays. New York: Copernicus. pp. 29–31. doi:10.1007/0-387-28952-6. ISBN 0-387-94673-X.
Singmaster, David (1985). "The legal values of pi". The Mathematical Intelligencer. 7 (2): 69–72. doi:10.1007/BF03024180. MR 0784946. S2CID 122137198. Reprinted in Berggren, Lennart; Borwein, Jonathan; Borwein, Peter (2004). Pi: a source book (Third ed.). New York: Springer-Verlag. pp. 236–239. doi:10.1007/978-1-4757-4217-6_27. ISBN 0-387-20571-3. MR 2065455.
Tubbs, Robert (December 2020). "Squaring the circle: A literary history". In Tubbs, Robert; Jenkins, Alice; Engelhardt, Nina (eds.). The Palgrave Handbook of Literature and Mathematics. Springer International Publishing. pp. 169–185. doi:10.1007/978-3-030-55478-1_10. ISBN 978-3-030-55477-4. MR 4272388. S2CID 234128826.
Amati, Matthew (2010). "Meton's star-city: Geometry and utopia in Aristophanes' Birds". The Classical Journal. 105 (3): 213–222. doi:10.5184/classicalj.105.3.213. JSTOR 10.5184/classicalj.105.3.213.
Herzman, Ronald B.; Towsley, Gary B. (1994). "Squaring the circle: Paradiso 33 and the poetics of geometry". Traditio. 49: 95–125. doi:10.1017/S0362152900013015. JSTOR 27831895. S2CID 155844205.
Kay, Richard (July 2005). "Vitruvius and Dante's Imago dei ". Word & Image. 21 (3): 252–260. doi:10.1080/02666286.2005.10462116. S2CID 194056860.
Spanos, Margaret (1978). "The Sestina: An Exploration of the Dynamics of Poetic Structure". Speculum. 53 (3): 545–557. doi:10.2307/2855144. JSTOR 2855144. S2CID 162823092.

e-periodica.ch

Paul R. Halmos (1970). "How to Write Mathematics". L'Enseignement mathématique. 16 (2): 123–152. — Pdf

e-rara.ch

Gregory, James (1667). Vera Circuli et Hyperbolæ Quadratura … [The true squaring of the circle and of the hyperbola …]. Padua: Giacomo Cadorino. Available at: ETH Bibliothek (Zürich, Switzerland)

hathitrust.org

babel.hathitrust.org

Lambert, Johann Heinrich (1761). "Mémoire sur quelques propriétés remarquables des quantités transcendentes circulaires et logarithmiques" [Memoir on some remarkable properties of circular transcendental and logarithmic quantities]. Histoire de l'Académie Royale des Sciences et des Belles-Lettres de Berlin (in French). 17 (published 1768): 265–322.
Lindemann, F. (1882). "Über die Zahl π" [On the number π]. Mathematische Annalen (in German). 20 (2): 213–225. doi:10.1007/bf01446522. S2CID 120469397.
Wantzel, L. (1837). "Recherches sur les moyens de reconnaître si un problème de géométrie peut se résoudre avec la règle et le compas" [Investigations into means of knowing if a problem of geometry can be solved with a straightedge and compass]. Journal de Mathématiques Pures et Appliquées (in French). 2: 366–372.

jstor.org

Laczkovich, M. (1997). "On Lambert's proof of the irrationality of $π$ ". The American Mathematical Monthly. 104 (5): 439–443. doi:10.1080/00029890.1997.11990661. JSTOR 2974737. MR 1447977.
Castellanos, Dario (April 1988). "The ubiquitous $π$ ". Mathematics Magazine. 61 (2): 67–98. doi:10.1080/0025570X.1988.11977350. JSTOR 2690037.
Alperin, Roger C. (2005). "Trisections and totally real origami". The American Mathematical Monthly. 112 (3): 200–211. arXiv:math/0408159. doi:10.2307/30037438. JSTOR 30037438. MR 2125383.
Schepler, Herman C. (1950). "The chronology of pi". Mathematics Magazine. 23 (3): 165–170, 216–228, 279–283. doi:10.2307/3029284. JSTOR 3029832. MR 0037596.
Amati, Matthew (2010). "Meton's star-city: Geometry and utopia in Aristophanes' Birds". The Classical Journal. 105 (3): 213–222. doi:10.5184/classicalj.105.3.213. JSTOR 10.5184/classicalj.105.3.213.
Herzman, Ronald B.; Towsley, Gary B. (1994). "Squaring the circle: Paradiso 33 and the poetics of geometry". Traditio. 49: 95–125. doi:10.1017/S0362152900013015. JSTOR 27831895. S2CID 155844205.
Dolid, William A. (1980). "Vivie Warren and the Tripos". The Shaw Review. 23 (2): 52–56. JSTOR 40682600. Dolid contrasts Vivie Warren, a fictional female mathematics student in Mrs. Warren's Profession by George Bernard Shaw, with the satire of college women presented by Gilbert and Sullivan. He writes that "Vivie naturally knew better than to try to square circles."
Spanos, Margaret (1978). "The Sestina: An Exploration of the Dynamics of Poetic Structure". Speculum. 53 (3): 545–557. doi:10.2307/2855144. JSTOR 2855144. S2CID 162823092.
Pendrick, Gerard (1994). "Two notes on "Ulysses"". James Joyce Quarterly. 32 (1): 105–107. JSTOR 25473619.

reference.com

dictionary.reference.com

Ammer, Christine. "Square the Circle. Dictionary.com. The American Heritage® Dictionary of Idioms". Houghton Mifflin Company. Retrieved 16 April 2012.

sciencesconf.org

entropiesschool.sciencesconf.org

Paul R. Halmos (1970). "How to Write Mathematics". L'Enseignement mathématique. 16 (2): 123–152. — Pdf

semanticscholar.org

api.semanticscholar.org

Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S. (1997). "The quest for pi". The Mathematical Intelligencer. 19 (1): 50–57. doi:10.1007/BF03024340. MR 1439159. S2CID 14318695.
Crippa, Davide (2019). "James Gregory and the impossibility of squaring the central conic sections". The Impossibility of Squaring the Circle in the 17th Century. Springer International Publishing. pp. 35–91. doi:10.1007/978-3-030-01638-8_2. ISBN 978-3-030-01637-1. S2CID 132820288.
Lindemann, F. (1882). "Über die Zahl π" [On the number π]. Mathematische Annalen (in German). 20 (2): 213–225. doi:10.1007/bf01446522. S2CID 120469397.
Fritsch, Rudolf (1984). "The transcendence of $π$ has been known for about a century—but who was the man who discovered it?". Results in Mathematics. 7 (2): 164–183. doi:10.1007/BF03322501. MR 0774394. S2CID 119986449.
Jagy, William C. (1995). "Squaring circles in the hyperbolic plane" (PDF). The Mathematical Intelligencer. 17 (2): 31–36. doi:10.1007/BF03024895. S2CID 120481094.
Fukś, Henryk (2012). "Adam Adamandy Kochański's approximations of $π$ : reconstruction of the algorithm". The Mathematical Intelligencer. 34 (4): 40–45. arXiv:1111.1739. doi:10.1007/s00283-012-9312-1. MR 3029928. S2CID 123623596.
Bird, Alexander (1996). "Squaring the Circle: Hobbes on Philosophy and Geometry". Journal of the History of Ideas. 57 (2): 217–231. doi:10.1353/jhi.1996.0012. S2CID 171077338. Archived from the original on 16 January 2022. Retrieved 14 November 2020.
Singmaster, David (1985). "The legal values of pi". The Mathematical Intelligencer. 7 (2): 69–72. doi:10.1007/BF03024180. MR 0784946. S2CID 122137198. Reprinted in Berggren, Lennart; Borwein, Jonathan; Borwein, Peter (2004). Pi: a source book (Third ed.). New York: Springer-Verlag. pp. 236–239. doi:10.1007/978-1-4757-4217-6_27. ISBN 0-387-20571-3. MR 2065455.
Tubbs, Robert (December 2020). "Squaring the circle: A literary history". In Tubbs, Robert; Jenkins, Alice; Engelhardt, Nina (eds.). The Palgrave Handbook of Literature and Mathematics. Springer International Publishing. pp. 169–185. doi:10.1007/978-3-030-55478-1_10. ISBN 978-3-030-55477-4. MR 4272388. S2CID 234128826.
Herzman, Ronald B.; Towsley, Gary B. (1994). "Squaring the circle: Paradiso 33 and the poetics of geometry". Traditio. 49: 95–125. doi:10.1017/S0362152900013015. JSTOR 27831895. S2CID 155844205.
Kay, Richard (July 2005). "Vitruvius and Dante's Imago dei ". Word & Image. 21 (3): 252–260. doi:10.1080/02666286.2005.10462116. S2CID 194056860.
Spanos, Margaret (1978). "The Sestina: An Exploration of the Dynamics of Poetic Structure". Speculum. 53 (3): 545–557. doi:10.2307/2855144. JSTOR 2855144. S2CID 162823092.