Fermat's principle (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Fermat's principle" in English language version.

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archive.org

Clerselier to Fermat (in French), 6 May 1662, in P. Tannery and C. Henry (eds.), Œuvres de Fermat, vol. 2 (Paris: Gauthier-Villars et fils, 1894), pp. 464–72.
Fermat to Clerselier (in French), 21 May 1662, in P. Tannery and C. Henry (eds.), Œuvres de Fermat, vol. 2 (Paris: Gauthier-Villars et fils, 1894), pp. 482–4.
Chr. Huygens, Traité de la Lumière (drafted 1678; published in Leyden by Van der Aa, 1690), translated by Silvanus P. Thompson as Treatise on Light (London: Macmillan, 1912; Project Gutenberg edition, 2005), p.19.
On the proof, see Darrigol, 2012, p. 190. On the date of the reading (misprinted as 1808 in early sources), see Frankel, 1974, p. 234n. The full text (with the misprint) is "Mémoire sur les mouvements de la lumière dans les milieux diaphanes", Mémoires de l'Académie des Sciences, 1st Series, vol. X (1810), reprinted in Oeuvres complètes de Laplace, vol. 12 (Paris, Gauthier-Villars et fils, 1898), pp. 267–298. An intermediate version, including the proof but not the appended "Note", appeared as "Sur le mouvement de la lumière dans les milieux diaphanes", Mémoires de Physique et de Chimie de la Société d'Arcueil, vol. 2 (1809), pp. 111–142 & Plate 1 (after p. 494).
H.A. Lorentz, 1907, Abhandlungen über Theoretische Physik, vol. 1, Berlin: Teubner, ch. 14, ss. 12, 13, and ch. 16, s. 18; translated as "H.A. Lorentz on the equivalence of Huygens' construction and Fermat's principle", doi:10.5281/zenodo.3835134, 2020.

books.google.com

In the translation, some lines and symbols are missing from the diagram; the corrected diagram may be found in Fresnel's Oeuvres Complètes, vol. 2, p. 547.
Bensimon, David (14 December 2021). The Unity of Science. CRC Press. ISBN 978-1-000-51883-2.
Sanz, Ángel S.; Miret-Artés, Salvador (27 March 2012). A Trajectory Description of Quantum Processes. I. Fundamentals: A Bohmian Perspective. Springer. ISBN 978-3-642-18092-7.
P.-S. Laplace (read 30 January 1809), "Sur la loi de la réfraction extraordinaire de la lumière dans les cristaux diaphanes", Journal de Physique, de Chimie et d'Histoire Naturelle, 68: 107–11 (for January 1809).
On the proof, see Darrigol, 2012, p. 190. On the date of the reading (misprinted as 1808 in early sources), see Frankel, 1974, p. 234n. The full text (with the misprint) is "Mémoire sur les mouvements de la lumière dans les milieux diaphanes", Mémoires de l'Académie des Sciences, 1st Series, vol. X (1810), reprinted in Oeuvres complètes de Laplace, vol. 12 (Paris, Gauthier-Villars et fils, 1898), pp. 267–298. An intermediate version, including the proof but not the appended "Note", appeared as "Sur le mouvement de la lumière dans les milieux diaphanes", Mémoires de Physique et de Chimie de la Société d'Arcueil, vol. 2 (1809), pp. 111–142 & Plate 1 (after p. 494).

dbnl.org

Shapiro, 1973, p. 229, note 294 (Shapiro's words), citing Huygens' Oeuvres Complètes, vol. 13 (ed. D.J. Korteweg, 1916), Quatrième Complément à la Dioptrique, at p. 834, "Parte 2^da ..." (in Latin, with annotations in French).

doi.org

J. Ogborn and E.F. Taylor (January 2005), "Quantum physics explains Newton's laws of motion", Physics Education, 40 (1): 26–34, doi:10.1088/0031-9120/40/1/001.
H. van Houten and C.W.J. Beenakker, 1995, "Principles of solid state electron optics", in E. Burstein and C. Weisbuch (eds.), Confined Electrons and Photons: New Physics and Applications (NATO ASI Series; Series B: Physics, vol. 340), Boston, MA: Springer, ISBN 978-1-4615-1963-8, pp. 269–303, doi:10.1007/978-1-4615-1963-8_9, at pp. 272–3.
Cf. V.G. Veselago (October 2002), "Formulating Fermat's principle for light traveling in negative refraction materials", Physics-Uspekhi, 45 (10): 1097–9, doi:10.1070/PU2002v045n10ABEH001223, at p. 1099.
Rashed, Roshdi (1 April 2019). "Fermat et le principe du moindre temps". Comptes Rendus Mécanique. 347 (4): 357–364. Bibcode:2019CRMec.347..357R. doi:10.1016/j.crme.2019.03.010. ISSN 1631-0721. S2CID 145904123.
H.A. Lorentz, 1907, Abhandlungen über Theoretische Physik, vol. 1, Berlin: Teubner, ch. 14, ss. 12, 13, and ch. 16, s. 18; translated as "H.A. Lorentz on the equivalence of Huygens' construction and Fermat's principle", doi:10.5281/zenodo.3835134, 2020.

eftaylor.com

J. Ogborn and E.F. Taylor (January 2005), "Quantum physics explains Newton's laws of motion", Physics Education, 40 (1): 26–34, doi:10.1088/0031-9120/40/1/001.

gutenberg.org

Chr. Huygens, Traité de la Lumière (drafted 1678; published in Leyden by Van der Aa, 1690), translated by Silvanus P. Thompson as Treatise on Light (London: Macmillan, 1912; Project Gutenberg edition, 2005), p.19.

harvard.edu

ui.adsabs.harvard.edu

Rashed, Roshdi (1 April 2019). "Fermat et le principe du moindre temps". Comptes Rendus Mécanique. 347 (4): 357–364. Bibcode:2019CRMec.347..357R. doi:10.1016/j.crme.2019.03.010. ISSN 1631-0721. S2CID 145904123.

leidenuniv.nl

lorentz.leidenuniv.nl

H. van Houten and C.W.J. Beenakker, 1995, "Principles of solid state electron optics", in E. Burstein and C. Weisbuch (eds.), Confined Electrons and Photons: New Physics and Applications (NATO ASI Series; Series B: Physics, vol. 340), Boston, MA: Springer, ISBN 978-1-4615-1963-8, pp. 269–303, doi:10.1007/978-1-4615-1963-8_9, at pp. 272–3.

maa.org

F. Katscher (May 2016), "When Was Pierre de Fermat Born?", Convergence, retrieved 22 August 2019.

phys.org

L. Zyga (1 April 2013), "Ants follow Fermat's principle of least time", Phys.org, retrieved 9 August 2019.

semanticscholar.org

api.semanticscholar.org

Rashed, Roshdi (1 April 2019). "Fermat et le principe du moindre temps". Comptes Rendus Mécanique. 347 (4): 357–364. Bibcode:2019CRMec.347..357R. doi:10.1016/j.crme.2019.03.010. ISSN 1631-0721. S2CID 145904123.

worldcat.org

Rashed, Roshdi (1 April 2019). "Fermat et le principe du moindre temps". Comptes Rendus Mécanique. 347 (4): 357–364. Bibcode:2019CRMec.347..357R. doi:10.1016/j.crme.2019.03.010. ISSN 1631-0721. S2CID 145904123.