Witch of Agnesi (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Witch of Agnesi" in English language version.

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Gibson, C. G. (2001), Elementary Geometry of Differentiable Curves: An Undergraduate Introduction, Cambridge: Cambridge University Press, Exercise 9.1.9, p. 131, doi:10.1017/CBO9781139173377, ISBN 0-521-80453-1, MR 1855907
Fuchs, Dmitry; Tabachnikov, Serge (2007), Mathematical Omnibus: Thirty Lectures on Classic Mathematics, Providence, RI: American Mathematical Society, p. 142, doi:10.1090/mbk/046, ISBN 978-0-8218-4316-1, MR 2350979
Arnold, V. I. (2005), "The principle of topological economy in algebraic geometry", Surveys in modern mathematics, London Mathematical Society Lecture Note Series, vol. 321, Cambridge: Cambridge University Press, pp. 13–23, doi:10.1017/CBO9780511614156.003, ISBN 978-0-521-54793-2, MR 2166922. See in particular pp. 15–16.
Paradís, Jaume; Pla, Josep; Viader, Pelegrí (2008), "Fermat's method of quadrature", Revue d'Histoire des Mathématiques, 14 (1): 5–51, MR 2493381, archived from the original on 8 August 2019, retrieved 18 May 2018
Stigler, Stephen M. (August 1974), "Studies in the History of Probability and Statistics. XXXIII. Cauchy and the Witch of Agnesi: An Historical Note on the Cauchy Distribution", Biometrika, 61 (2): 375–380, doi:10.1093/biomet/61.2.375, JSTOR 2334368, MR 0370838
Mulcrone, T. F. (1957), "The names of the curve of Agnesi", American Mathematical Monthly, 64 (5): 359–361, doi:10.2307/2309605, JSTOR 2309605, MR 0085163
Singh, Simon (1997), Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem, New York: Walker and Company, p. 100, ISBN 0-8027-1331-9, MR 1491363
Darling, David (2004), The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes, Hoboken, NJ: John Wiley & Sons, p. 8, ISBN 0-471-27047-4, MR 2078978

archive.org

Eagles, Thomas Henry (1885), "The Witch of Agnesi", Constructive Geometry of Plane Curves: With Numerous Examples, Macmillan and Company, pp. 313–314
Agnesi, Maria Gaetana (1748), Instituzioni analitiche ad uso della gioventú italiana See in particular Problem 3, pp. 380–382, and Fig. 135.
de Fermat, Pierre (1891), Oevres (in Latin), vol. 1, Gauthier-Villars et fils, pp. 280–285
A translation of Agnesi's work on this curve can be found in: Struik, Dirk J. (1969), A Source Book in Mathematics, 1200–1800, Cambridge, Massachusetts: Harvard University Press, pp. 178–180
Singh, Simon (1997), Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem, New York: Walker and Company, p. 100, ISBN 0-8027-1331-9, MR 1491363

books.google.com

Lawrence, J. Dennis (2013), "4.3 Witch of Agnesi (Fermat, 1666; Agnesi, 1748)", A Catalog of Special Plane Curves, Dover Books on Mathematics, Courier Corporation, pp. 90–93, ISBN 9780486167664
Cohen, David W.; Henle, James M. (2005), Calculus: The Language of Change, Jones & Bartlett Learning, p. 351, ISBN 9780763729479
Gibson, C. G. (2001), Elementary Geometry of Differentiable Curves: An Undergraduate Introduction, Cambridge: Cambridge University Press, Exercise 9.1.9, p. 131, doi:10.1017/CBO9781139173377, ISBN 0-521-80453-1, MR 1855907
Lipsman, Ronald L.; Rosenberg, Jonathan M. (2017), Multivariable Calculus with MATLAB®: With Applications to Geometry and Physics, Springer, p. 42, ISBN 9783319650708, The circle "kisses" the curve accurately to second order, thus is given the name osculating circle (from the Latin word for "kissing").
Fuchs, Dmitry; Tabachnikov, Serge (2007), Mathematical Omnibus: Thirty Lectures on Classic Mathematics, Providence, RI: American Mathematical Society, p. 142, doi:10.1090/mbk/046, ISBN 978-0-8218-4316-1, MR 2350979
Arnold, V. I. (2005), "The principle of topological economy in algebraic geometry", Surveys in modern mathematics, London Mathematical Society Lecture Note Series, vol. 321, Cambridge: Cambridge University Press, pp. 13–23, doi:10.1017/CBO9780511614156.003, ISBN 978-0-521-54793-2, MR 2166922. See in particular pp. 15–16.
Pietro Fanfani, Vocabolario dell'uso toscano, p. 334

discogs.com

Radius – Witch Of Agnesi (Plutonium Records, 2002), Discogs, retrieved 28 May 2018

doi.org

Larsen, Harold D. (January 1946), "The Witch of Agnesi", School Science and Mathematics, 46 (1): 57–62, doi:10.1111/j.1949-8594.1946.tb04418.x
Gibson, C. G. (2001), Elementary Geometry of Differentiable Curves: An Undergraduate Introduction, Cambridge: Cambridge University Press, Exercise 9.1.9, p. 131, doi:10.1017/CBO9781139173377, ISBN 0-521-80453-1, MR 1855907
Haftendorn, Dörte (2017), "4.1 Versiera, die Hexenkurve", Kurven erkunden und verstehen (in German), Springer, pp. 79–91, doi:10.1007/978-3-658-14749-5, ISBN 978-3-658-14748-8. For the osculating circle, see in particular p. 81: "Der erzeugende Kreis ist der Krümmungskreis der weiten Versiera in ihrem Scheitel."
Fuchs, Dmitry; Tabachnikov, Serge (2007), Mathematical Omnibus: Thirty Lectures on Classic Mathematics, Providence, RI: American Mathematical Society, p. 142, doi:10.1090/mbk/046, ISBN 978-0-8218-4316-1, MR 2350979
Arnold, V. I. (2005), "The principle of topological economy in algebraic geometry", Surveys in modern mathematics, London Mathematical Society Lecture Note Series, vol. 321, Cambridge: Cambridge University Press, pp. 13–23, doi:10.1017/CBO9780511614156.003, ISBN 978-0-521-54793-2, MR 2166922. See in particular pp. 15–16.
Stigler, Stephen M. (August 1974), "Studies in the History of Probability and Statistics. XXXIII. Cauchy and the Witch of Agnesi: An Historical Note on the Cauchy Distribution", Biometrika, 61 (2): 375–380, doi:10.1093/biomet/61.2.375, JSTOR 2334368, MR 0370838
Truesdell, C. (1991), "Correction and Additions for "Maria Gaetana Agnesi"", Archive for History of Exact Sciences, 43 (4): 385–386, doi:10.1007/BF00374764, […] nata da' seni versi, che da me suole chiamarsi la Versiera in latino però Versoria […]
Mulcrone, T. F. (1957), "The names of the curve of Agnesi", American Mathematical Monthly, 64 (5): 359–361, doi:10.2307/2309605, JSTOR 2309605, MR 0085163
Alexander, J. McKenzie (2012), "Decision theory meets the Witch of Agnesi", Journal of Philosophy, 109 (12): 712–727, doi:10.5840/jphil20121091233
Spencer, Roy C. (September 1940), "Properties of the Witch of Agnesi—Application to Fitting the Shapes of Spectral Lines", Journal of the Optical Society of America, 30 (9): 415, Bibcode:1940JOSA...30..415S, doi:10.1364/josa.30.000415
Coppin, P. A.; Bradley, E. F.; Finnigan, J. J. (April 1994), "Measurements of flow over an elongated ridge and its thermal stability dependence: The mean field", Boundary-Layer Meteorology, 69 (1–2): 173–199, Bibcode:1994BoLMe..69..173C, doi:10.1007/bf00713302, S2CID 119956741, A useful general form for the hill shape is the so-called 'Witch of Agnesi' profile
Snyder, William H.; Thompson, Roger S.; Eskridge, Robert E.; Lawson, Robert E.; Castro, Ian P.; Lee, J. T.; Hunt, Julian C. R.; Ogawa, Yasushi (March 1985), "The structure of strongly stratified flow over hills: dividing-streamline concept", Journal of Fluid Mechanics, 152 (–1): 249, Bibcode:1985JFM...152..249S, doi:10.1017/s0022112085000684, S2CID 123563729
Lamb, Kevin G. (February 1994), "Numerical simulations of stratified inviscid flow over a smooth obstacle" (PDF), Journal of Fluid Mechanics, 260 (–1): 1, Bibcode:1994JFM...260....1L, doi:10.1017/s0022112094003411, S2CID 49355530, archived from the original (PDF) on 6 January 2014
Benjamin, T. Brooke (September 1967), "Internal waves of permanent form in fluids of great depth", Journal of Fluid Mechanics, 29 (3): 559, Bibcode:1967JFM....29..559B, doi:10.1017/s002211206700103x, S2CID 123065419
Noonan, Julie A.; Smith, Roger K. (September 1985), "Linear and weakly nonlinear internal wave theories applied to 'morning glory' waves", Geophysical & Astrophysical Fluid Dynamics, 33 (1–4): 123–143, Bibcode:1985GApFD..33..123N, doi:10.1080/03091928508245426

ed.gov

files.eric.ed.gov

Yates, Robert C. (1954), "Witch of Agnesi", Curves and their Properties (PDF), Classics in Mathematics Education, vol. 4, National Council of Teachers of Mathematics, pp. 237–238

gazette.com

Phillips, Dave (12 September 2006), "Local teacher, author figures math into books", The Gazette

harvard.edu

ui.adsabs.harvard.edu

Spencer, Roy C. (September 1940), "Properties of the Witch of Agnesi—Application to Fitting the Shapes of Spectral Lines", Journal of the Optical Society of America, 30 (9): 415, Bibcode:1940JOSA...30..415S, doi:10.1364/josa.30.000415
Coppin, P. A.; Bradley, E. F.; Finnigan, J. J. (April 1994), "Measurements of flow over an elongated ridge and its thermal stability dependence: The mean field", Boundary-Layer Meteorology, 69 (1–2): 173–199, Bibcode:1994BoLMe..69..173C, doi:10.1007/bf00713302, S2CID 119956741, A useful general form for the hill shape is the so-called 'Witch of Agnesi' profile
Snyder, William H.; Thompson, Roger S.; Eskridge, Robert E.; Lawson, Robert E.; Castro, Ian P.; Lee, J. T.; Hunt, Julian C. R.; Ogawa, Yasushi (March 1985), "The structure of strongly stratified flow over hills: dividing-streamline concept", Journal of Fluid Mechanics, 152 (–1): 249, Bibcode:1985JFM...152..249S, doi:10.1017/s0022112085000684, S2CID 123563729
Lamb, Kevin G. (February 1994), "Numerical simulations of stratified inviscid flow over a smooth obstacle" (PDF), Journal of Fluid Mechanics, 260 (–1): 1, Bibcode:1994JFM...260....1L, doi:10.1017/s0022112094003411, S2CID 49355530, archived from the original (PDF) on 6 January 2014
Benjamin, T. Brooke (September 1967), "Internal waves of permanent form in fluids of great depth", Journal of Fluid Mechanics, 29 (3): 559, Bibcode:1967JFM....29..559B, doi:10.1017/s002211206700103x, S2CID 123065419
Noonan, Julie A.; Smith, Roger K. (September 1985), "Linear and weakly nonlinear internal wave theories applied to 'morning glory' waves", Geophysical & Astrophysical Fluid Dynamics, 33 (1–4): 123–143, Bibcode:1985GApFD..33..123N, doi:10.1080/03091928508245426

jstor.org

Stigler, Stephen M. (August 1974), "Studies in the History of Probability and Statistics. XXXIII. Cauchy and the Witch of Agnesi: An Historical Note on the Cauchy Distribution", Biometrika, 61 (2): 375–380, doi:10.1093/biomet/61.2.375, JSTOR 2334368, MR 0370838
Mulcrone, T. F. (1957), "The names of the curve of Agnesi", American Mathematical Monthly, 64 (5): 359–361, doi:10.2307/2309605, JSTOR 2309605, MR 0085163

mit.edu

mseas.mit.edu

Lamb, Kevin G. (February 1994), "Numerical simulations of stratified inviscid flow over a smooth obstacle" (PDF), Journal of Fluid Mechanics, 260 (–1): 1, Bibcode:1994JFM...260....1L, doi:10.1017/s0022112094003411, S2CID 49355530, archived from the original (PDF) on 6 January 2014

numdam.org

Paradís, Jaume; Pla, Josep; Viader, Pelegrí (2008), "Fermat's method of quadrature", Revue d'Histoire des Mathématiques, 14 (1): 5–51, MR 2493381, archived from the original on 8 August 2019, retrieved 18 May 2018

oed.com

Oxford English Dictionary, Oxford University Press, 2018, witch, n.2, 4(e), retrieved 3 July 2018, 1875 B. Williamson Elem. Treat. Integral Calculus vii. 173 Find the area between the witch of Agnesi $xy^{2}=4a^{2}(2a-x)$ and its asymptote.

proquest.com

Cupillari, Antonella; DeThomas, Elizabeth (Spring 2007), "Unmasking the witchy behavior of the Runge function", Mathematics and Computer Education, 41 (2): 143–156, ProQuest 235858817

semanticscholar.org

api.semanticscholar.org

Coppin, P. A.; Bradley, E. F.; Finnigan, J. J. (April 1994), "Measurements of flow over an elongated ridge and its thermal stability dependence: The mean field", Boundary-Layer Meteorology, 69 (1–2): 173–199, Bibcode:1994BoLMe..69..173C, doi:10.1007/bf00713302, S2CID 119956741, A useful general form for the hill shape is the so-called 'Witch of Agnesi' profile
Snyder, William H.; Thompson, Roger S.; Eskridge, Robert E.; Lawson, Robert E.; Castro, Ian P.; Lee, J. T.; Hunt, Julian C. R.; Ogawa, Yasushi (March 1985), "The structure of strongly stratified flow over hills: dividing-streamline concept", Journal of Fluid Mechanics, 152 (–1): 249, Bibcode:1985JFM...152..249S, doi:10.1017/s0022112085000684, S2CID 123563729
Lamb, Kevin G. (February 1994), "Numerical simulations of stratified inviscid flow over a smooth obstacle" (PDF), Journal of Fluid Mechanics, 260 (–1): 1, Bibcode:1994JFM...260....1L, doi:10.1017/s0022112094003411, S2CID 49355530, archived from the original (PDF) on 6 January 2014
Benjamin, T. Brooke (September 1967), "Internal waves of permanent form in fluids of great depth", Journal of Fluid Mechanics, 29 (3): 559, Bibcode:1967JFM....29..559B, doi:10.1017/s002211206700103x, S2CID 123065419

web.archive.org

Paradís, Jaume; Pla, Josep; Viader, Pelegrí (2008), "Fermat's method of quadrature", Revue d'Histoire des Mathématiques, 14 (1): 5–51, MR 2493381, archived from the original on 8 August 2019, retrieved 18 May 2018
Lamb, Kevin G. (February 1994), "Numerical simulations of stratified inviscid flow over a smooth obstacle" (PDF), Journal of Fluid Mechanics, 260 (–1): 1, Bibcode:1994JFM...260....1L, doi:10.1017/s0022112094003411, S2CID 49355530, archived from the original (PDF) on 6 January 2014

wolfram.com

mathworld.wolfram.com

Wolfram MathWorld, Witch of Agnesi