Meridian arc (English Wikipedia)
Analysis of information sources in references of the Wikipedia article "Meridian arc" in English language version.
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17centurymaths.com (Global: low place; English: low place)
- Newton, Isaac. Principia, Book III, Proposition XIX, Problem III, pg=405, translated into English by Andrew Motte. A searchable modern translation is available at 17centurymaths. Search the following pdf file for 'spheroid'.
adsabs.harvard.edu (Global: 14th place; English: 9th place)
ui.adsabs.harvard.edu
- Débarbat, Suzanne; Quinn, Terry (2019-01-01). "Les origines du système métrique en France et la Convention du mètre de 1875, qui a ouvert la voie au Système international d'unités et à sa révision de 2018". Comptes Rendus Physique. The new International System of Units / Le nouveau Système international d’unités. 20 (1): 6–21. Bibcode:2019CRPhy..20....6D. doi:10.1016/j.crhy.2018.12.002. ISSN 1631-0705. S2CID 126724939.
- Levallois, Jean-Jacques (May–June 1986). "L'Académie Royale des Sciences et la Figure de la Terre" [The Royal Academy of Sciences and the Shape of the Earth]. La Vie des Sciences (in French). 3: 290. Bibcode:1986CRASG...3..261L. Retrieved 4 September 2018 – via Gallica.
- Bessel, F. W. (1837). "Bestimmung der Axen des elliptischen Rotationssphäroids, welches den vorhandenen Messungen von Meridianbögen der Erde am meisten entspricht" [Estimation of the axes of the ellipsoid through measurements of the meridian arc]. Astronomische Nachrichten (in German). 14 (333): 333–346. Bibcode:1837AN.....14..333B. doi:10.1002/asna.18370142301.
- Bessel, F. W. (2010). "The calculation of longitude and latitude from geodesic measurements (1825)". Astron. Nachr. 331 (8): 852–861. arXiv:0908.1824. Bibcode:2010AN....331..852K. doi:10.1002/asna.201011352. S2CID 118760590. English translation of Astron. Nachr. 4, 241–254 (1825), §5.
- Karney, C. F. F. (2013). "Algorithms for geodesics". Journal of Geodesy. 87 (1): 43–55. arXiv:1109.4448. Bibcode:2013JGeod..87...43K. doi:10.1007/s00190-012-0578-z. S2CID 119310141.
Addenda.
archive.org (Global: 6th place; English: 6th place)
- Russo, Lucio (2004). The Forgotten Revolution. Berlin: Springer. p. 273-277.
- Poynting, John Henry; Joseph John Thompson (1907). A Textbook of Physics, 4th Ed. London: Charles Griffin & Co. p. 20.
- Newton, Isaac. Principia, Book III, Proposition XIX, Problem III, pg=405, translated into English by Andrew Motte. A searchable modern translation is available at 17centurymaths. Search the following pdf file for 'spheroid'.
- Clarke, Alexander Ross (1880). Geodesy. Oxford: Clarendon Press. OCLC 2484948.. Freely available online at Archive.org and Forgotten Books (ISBN 9781440088650). In addition the book has been reprinted by Nabu Press (ISBN 978-1286804131), the first chapter covers the history of early surveys.
- Bigourdan, Guillaume (1901). Le système métrique des poids et mesures; son établissement et sa propagation graduelle, avec l'histoire des opérations qui ont servi à déterminer le mètre et le kilogramme. Paris: Gauthier-Villars. pp. 7, 148–154.
- Euler, L. (1755). "Élémens de la trigonométrie sphéroïdique tirés de la méthode des plus grands et plus petits" [Elements of spheroidal trigonometry taken from the method of maxima and minima]. Mémoires de l'Académie Royale des Sciences de Berlin 1753 (in French). 9: 258–293. pg=362 Figures.
- Delambre, J. B. J. (1799): pg=72 Méthodes Analytiques pour la Détermination d'un Arc du Méridien; précédées d'un mémoire sur le même sujet par A. M. Legendre, De L'Imprimerie de Crapelet, Paris, 72–73
- Legendre, A. M. (1811). Exercices de Calcul Intégral sur Divers Ordres de Transcendantes et sur les Quadratures [Exercises in Integral Calculus] (in French). Paris: Courcier. p. 180. OCLC 312469983.
arxiv.org (Global: 49th place; English: 31st place)
- Bessel, F. W. (2010). "The calculation of longitude and latitude from geodesic measurements (1825)". Astron. Nachr. 331 (8): 852–861. arXiv:0908.1824. Bibcode:2010AN....331..852K. doi:10.1002/asna.201011352. S2CID 118760590. English translation of Astron. Nachr. 4, 241–254 (1825), §5.
- Karney, C. F. F. (2013). "Algorithms for geodesics". Journal of Geodesy. 87 (1): 43–55. arXiv:1109.4448. Bibcode:2013JGeod..87...43K. doi:10.1007/s00190-012-0578-z. S2CID 119310141. Addenda.
bbc.com (Global: 26th place; English: 23rd place)
- Ramani, Madhvi. "How France created the metric system". BBC. Retrieved 2019-05-21.
bnf.fr (Global: 61st place; English: 357th place)
gallica.bnf.fr
- Biot, Jean-Baptiste (1774–1862) Auteur du texte; Arago, François (1786–1853) Auteur du texte (1821). Recueil d'observations géodésiques, astronomiques et physiques, exécutées par ordre du Bureau des longitudes de France en Espagne, en France, en Angleterre et en Écosse, pour déterminer la variation de la pesanteur et des degrés terrestres sur le prolongement du méridien de Paris... rédigé par MM. Biot et Arago,... pp. viii–ix.
{{cite book}}: CS1 maint: numeric names: authors list (link) - Biot, Jean-Baptiste; Arago, François (1821). Recueil d'observations géodésiques, astronomiques et physiques, exécutées par ordre du Bureau des longitudes de France, en Espagne, en France, en Angleterre et en Écosse, pour déterminer la variation de la pesanteur et des degrés terrestres sur le prolongement du Méridien de Paris, faisant suite au troisième volume de la Base du Système métrique (in French). pp. 523, 529. Retrieved 14 September 2018 – via Gallica.
- Levallois, Jean-Jacques (1986). "La Vie des sciences". Gallica (in French). pp. 261–262, 288–290 [269, 276–277, 283]. Retrieved 2019-05-13.
- Delambre, Jean-Baptiste (1749–1822) Auteur du texte (1912). Grandeur et figure de la terre / J.-B.-J. Delambre; ouvrage augmenté de notes, de cartes et publié par les soins de G. Bigourdan,...
{{cite book}}: CS1 maint: numeric names: authors list (link) - Levallois, Jean-Jacques (May–June 1986). "L'Académie Royale des Sciences et la Figure de la Terre" [The Royal Academy of Sciences and the Shape of the Earth]. La Vie des Sciences (in French). 3: 290. Bibcode:1986CRASG...3..261L. Retrieved 4 September 2018 – via Gallica.
- Delambre, Jean-Baptiste (1749–1822) Auteur du texte; Méchain, Pierre (1744–1804) Auteur du texte (1806–1810). Base du système métrique décimal, ou Mesure de l'arc du méridien compris entre les parallèles de Dunkerque et Barcelone. T. 1 /, exécutée en 1792 et années suivantes, par MM. Méchain et Delambre, rédigée par M. Delambre,... pp. 93–94, 10.
{{cite book}}: CS1 maint: numeric names: authors list (link)
bookdepository.com (Global: low place; English: low place)
- Clarke, Alexander Ross (1880). Geodesy. Oxford: Clarendon Press. OCLC 2484948.. Freely available online at Archive.org and Forgotten Books (ISBN 9781440088650). In addition the book has been reprinted by Nabu Press (ISBN 978-1286804131), the first chapter covers the history of early surveys.
books.google.com (Global: 3rd place; English: 3rd place)
- Torge, W.; Müller, J. (2012). Geodesy. De Gruyter Textbook. De Gruyter. p. 5. ISBN 978-3-11-025000-8. Retrieved 2021-05-02.
- Victor F., Lenzen; Robert P. Multauf (1964). "Paper 44: Development of gravity pendulums in the 19th century". United States National Museum Bulletin 240: Contributions from the Museum of History and Technology reprinted in Bulletin of the Smithsonian Institution. Washington: Smithsonian Institution Press. p. 307. Retrieved 2009-01-28.
- Capderou, Michel (2011-10-31). Satellites : de Kepler au GPS (in French). Springer Science & Business Media. p. 46. ISBN 978-2-287-99049-6.
- National Industrial Conference Board (1921). The metric versus the English system of weights and measures ... The Century Co. pp. 10–11. Retrieved 5 April 2011.
- Euler, L. (1755). "Élémens de la trigonométrie sphéroïdique tirés de la méthode des plus grands et plus petits" [Elements of spheroidal trigonometry taken from the method of maxima and minima]. Mémoires de l'Académie Royale des Sciences de Berlin 1753 (in French). 9: 258–293. pg=362 Figures.
- Helmert, F. R. (1880): Die mathematischen und physikalischen Theorieen der höheren Geodäsie, Einleitung und 1 Teil, Druck und Verlag von B. G. Teubner, Leipzig, § 1.7, pp. 44–48. English translation (by the Aeronautical Chart and Information Center, St. Louis) available at doi:10.5281/zenodo.32050
- Ivory, J. (1798). "A new series for the rectification of the ellipsis". Transactions of the Royal Society of Edinburgh. 4 (2): 177–190. doi:10.1017/s0080456800030817. S2CID 251572677.
degruyter.com (Global: 927th place; English: 757th place)
- Alder, Ken (1995-12-31). Wise, M. Norton (ed.). TWO A Revolution to Measure: The Political Economy of the Metric System in France. Princeton University Press. pp. 39–71. doi:10.1515/9780691218120-004. ISBN 978-0-691-21812-0.
doi.org (Global: 2nd place; English: 2nd place)
doi.org
- Alder, Ken (1995-12-31). Wise, M. Norton (ed.). TWO A Revolution to Measure: The Political Economy of the Metric System in France. Princeton University Press. pp. 39–71. doi:10.1515/9780691218120-004. ISBN 978-0-691-21812-0.
- Zuerich, ETH-Bibliothek (1991). "La méridienne de Dunkerque à Barcelone et la déterminiation du mètre (1972–1799)". Vermessung, Photogrammetrie, Kulturtechnik: VPK = Mensuration, Photogrammétrie, Génie Rural (in French). 89 (7): 377–378. doi:10.5169/seals-234595. Retrieved 2021-10-12.
- Martin, Jean-Pierre; McConnell, Anita (2008-12-20). "Joining the observatories of Paris and Greenwich". Notes and Records of the Royal Society. 62 (4): 355–372. doi:10.1098/rsnr.2008.0029. ISSN 0035-9149. S2CID 143514819.
- Débarbat, Suzanne; Quinn, Terry (2019-01-01). "Les origines du système métrique en France et la Convention du mètre de 1875, qui a ouvert la voie au Système international d'unités et à sa révision de 2018". Comptes Rendus Physique. The new International System of Units / Le nouveau Système international d’unités. 20 (1): 6–21. Bibcode:2019CRPhy..20....6D. doi:10.1016/j.crhy.2018.12.002. ISSN 1631-0705. S2CID 126724939.
- Nyblom, Jukka (2023-04-25). "How did the meter acquire its definitive length?". GEM - International Journal on Geomathematics. 14 (1): 10. doi:10.1007/s13137-023-00218-9. ISSN 1869-2680.
- Osborne, Peter (2013), The Mercator Projections, doi:10.5281/zenodo.35392 Section 5.6. This reference includes the derivation of curvature formulae from first principles and a proof of Meusnier's theorem. (Supplements: Maxima files and Latex code and figures)
- Bessel, F. W. (1837). "Bestimmung der Axen des elliptischen Rotationssphäroids, welches den vorhandenen Messungen von Meridianbögen der Erde am meisten entspricht" [Estimation of the axes of the ellipsoid through measurements of the meridian arc]. Astronomische Nachrichten (in German). 14 (333): 333–346. Bibcode:1837AN.....14..333B. doi:10.1002/asna.18370142301.
- Helmert, F. R. (1880): Die mathematischen und physikalischen Theorieen der höheren Geodäsie, Einleitung und 1 Teil, Druck und Verlag von B. G. Teubner, Leipzig, § 1.7, pp. 44–48. English translation (by the Aeronautical Chart and Information Center, St. Louis) available at doi:10.5281/zenodo.32050
- Bessel, F. W. (2010). "The calculation of longitude and latitude from geodesic measurements (1825)". Astron. Nachr. 331 (8): 852–861. arXiv:0908.1824. Bibcode:2010AN....331..852K. doi:10.1002/asna.201011352. S2CID 118760590. English translation of Astron. Nachr. 4, 241–254 (1825), §5.
- Ivory, J. (1798). "A new series for the rectification of the ellipsis". Transactions of the Royal Society of Edinburgh. 4 (2): 177–190. doi:10.1017/s0080456800030817. S2CID 251572677.
- Karney, C. F. F. (2013). "Algorithms for geodesics". Journal of Geodesy. 87 (1): 43–55. arXiv:1109.4448. Bibcode:2013JGeod..87...43K. doi:10.1007/s00190-012-0578-z. S2CID 119310141. Addenda.
dx.doi.org
- Zuerich, ETH-Bibliothek (1991). "La méridienne de Dunkerque à Barcelone et la déterminiation du mètre (1972–1799)". Vermessung, Photogrammetrie, Kulturtechnik: VPK = Mensuration, Photogrammétrie, Génie Rural (in French). 89 (7): 377–378. doi:10.5169/seals-234595. Retrieved 2021-10-12.
- Krüger, L. (1912): Konforme Abbildung des Erdellipsoids in der Ebene. Royal Prussian Geodetic Institute, New Series 52, page 12
forgottenbooks.com (Global: low place; English: low place)
- Clarke, Alexander Ross (1880). Geodesy. Oxford: Clarendon Press. OCLC 2484948.. Freely available online at Archive.org and Forgotten Books (ISBN 9781440088650). In addition the book has been reprinted by Nabu Press (ISBN 978-1286804131), the first chapter covers the history of early surveys.
francearchives.gouv.fr (Global: low place; English: low place)
- Suzanne, Débarbat. "Fixation de la longueur définitive du mètre". FranceArchives (in French). Retrieved 2023-10-06.
gsi.go.jp (Global: 1,802nd place; English: low place)
- Kawase, K. (2011): A General Formula for Calculating Meridian Arc Length and its Application to Coordinate Conversion in the Gauss-Krüger Projection, Bulletin of the Geospatial Information Authority of Japan, 59, 1–13
hdl.handle.net (Global: 66th place; English: 34th place)
- Rapp, R, (1991): Geometric Geodesy, Part I, §3.5.1, pp. 28–32.
lne.fr (Global: low place; English: low place)
metrologie-francaise.lne.fr
- "L'histoire des unités". Réseau National de la Métrologie Française. Retrieved 2023-10-06.
mdz-nbn-resolving.de (Global: low place; English: low place)
- Clarke, Alexander Ross; James, Henry (1866). Comparisons of the standards of length of England, France, Belgium, Prussia, Russia, India, Australia, made at the Ordnance survey office, Southampton. London: G.E. Eyre and W. Spottiswoode for H.M. Stationery Office. pp. 281–87. OCLC 906501. Appendix on Figure of the Earth.
nga.mil (Global: 415th place; English: 391st place)
earth-info.nga.mil
- J. W. Hager, J.F. Behensky, and B.W. Drew, 1989. Defense Mapping Agency Technical Report TM 8358.2. The universal grids: Universal Transverse Mercator (UTM) and Universal Polar Stereographic (UPS)
nist.gov (Global: 708th place; English: 742nd place)
dlmf.nist.gov
- F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark, editors, 2010, NIST Handbook of Mathematical Functions (Cambridge University Press).
noaa.gov (Global: 111th place; English: 78th place)
geodesy.noaa.gov
- Adams, Oscar S (1921). Latitude Developments Connected With Geodesy and Cartography. US Coast and Geodetic Survey Special Publication No. 67. p. 127.
ordnancesurvey.co.uk (Global: 2,088th place; English: 1,987th place)
- A guide to coordinate systems in Great Britain, Ordnance Survey of Great Britain.
royalsocietypublishing.org (Global: 1,880th place; English: 2,810th place)
- Martin, Jean-Pierre; McConnell, Anita (2008-12-20). "Joining the observatories of Paris and Greenwich". Notes and Records of the Royal Society. 62 (4): 355–372. doi:10.1098/rsnr.2008.0029. ISSN 0035-9149. S2CID 143514819.
semanticscholar.org (Global: 15th place; English: 8th place)
api.semanticscholar.org
- Martin, Jean-Pierre; McConnell, Anita (2008-12-20). "Joining the observatories of Paris and Greenwich". Notes and Records of the Royal Society. 62 (4): 355–372. doi:10.1098/rsnr.2008.0029. ISSN 0035-9149. S2CID 143514819.
- Débarbat, Suzanne; Quinn, Terry (2019-01-01). "Les origines du système métrique en France et la Convention du mètre de 1875, qui a ouvert la voie au Système international d'unités et à sa révision de 2018". Comptes Rendus Physique. The new International System of Units / Le nouveau Système international d’unités. 20 (1): 6–21. Bibcode:2019CRPhy..20....6D. doi:10.1016/j.crhy.2018.12.002. ISSN 1631-0705. S2CID 126724939.
- Bessel, F. W. (2010). "The calculation of longitude and latitude from geodesic measurements (1825)". Astron. Nachr. 331 (8): 852–861. arXiv:0908.1824. Bibcode:2010AN....331..852K. doi:10.1002/asna.201011352. S2CID 118760590. English translation of Astron. Nachr. 4, 241–254 (1825), §5.
- Ivory, J. (1798). "A new series for the rectification of the ellipsis". Transactions of the Royal Society of Edinburgh. 4 (2): 177–190. doi:10.1017/s0080456800030817. S2CID 251572677.
- Karney, C. F. F. (2013). "Algorithms for geodesics". Journal of Geodesy. 87 (1): 43–55. arXiv:1109.4448. Bibcode:2013JGeod..87...43K. doi:10.1007/s00190-012-0578-z. S2CID 119310141. Addenda.
sf.net (Global: low place; English: low place)
maxima.sf.net
- Maxima, 2009, A computer algebra system, version 5.20.1.
geographiclib.sf.net
- Karney, C. F. F. (2013). "Algorithms for geodesics". Journal of Geodesy. 87 (1): 43–55. arXiv:1109.4448. Bibcode:2013JGeod..87...43K. doi:10.1007/s00190-012-0578-z. S2CID 119310141. Addenda.
springer.com (Global: 182nd place; English: 172nd place)
link.springer.com
- Nyblom, Jukka (2023-04-25). "How did the meter acquire its definitive length?". GEM - International Journal on Geomathematics. 14 (1): 10. doi:10.1007/s13137-023-00218-9. ISSN 1869-2680.
univ-perp.fr (Global: 6,682nd place; English: low place)
mjp.univ-perp.fr
- Maury, Jean-Pierre (2007). "Grandes lois de la République : les mesures républicaines". Digithèque de matériaux juridiques et politiques.
wolfram.com (Global: 1,091st place; English: 1,169th place)
reference.wolfram.com
worldcat.org (Global: 4th place; English: 4th place)
search.worldcat.org
- Clarke, Alexander Ross (1880). Geodesy. Oxford: Clarendon Press. OCLC 2484948.. Freely available online at Archive.org and Forgotten Books (ISBN 9781440088650). In addition the book has been reprinted by Nabu Press (ISBN 978-1286804131), the first chapter covers the history of early surveys.
- Martin, Jean-Pierre; McConnell, Anita (2008-12-20). "Joining the observatories of Paris and Greenwich". Notes and Records of the Royal Society. 62 (4): 355–372. doi:10.1098/rsnr.2008.0029. ISSN 0035-9149. S2CID 143514819.
- Débarbat, Suzanne; Quinn, Terry (2019-01-01). "Les origines du système métrique en France et la Convention du mètre de 1875, qui a ouvert la voie au Système international d'unités et à sa révision de 2018". Comptes Rendus Physique. The new International System of Units / Le nouveau Système international d’unités. 20 (1): 6–21. Bibcode:2019CRPhy..20....6D. doi:10.1016/j.crhy.2018.12.002. ISSN 1631-0705. S2CID 126724939.
- Nyblom, Jukka (2023-04-25). "How did the meter acquire its definitive length?". GEM - International Journal on Geomathematics. 14 (1): 10. doi:10.1007/s13137-023-00218-9. ISSN 1869-2680.
- Clarke, Alexander Ross; James, Henry (1866). Comparisons of the standards of length of England, France, Belgium, Prussia, Russia, India, Australia, made at the Ordnance survey office, Southampton. London: G.E. Eyre and W. Spottiswoode for H.M. Stationery Office. pp. 281–87. OCLC 906501. Appendix on Figure of the Earth.
- Legendre, A. M. (1811). Exercices de Calcul Intégral sur Divers Ordres de Transcendantes et sur les Quadratures [Exercises in Integral Calculus] (in French). Paris: Courcier. p. 180. OCLC 312469983.
zenodo.org (Global: 737th place; English: 426th place)
- Osborne, Peter (2013), The Mercator Projections, doi:10.5281/zenodo.35392 Section 5.6. This reference includes the derivation of curvature formulae from first principles and a proof of Meusnier's theorem. (Supplements: Maxima files and Latex code and figures)
- Bessel, F. W. (1837). "Bestimmung der Axen des elliptischen Rotationssphäroids, welches den vorhandenen Messungen von Meridianbögen der Erde am meisten entspricht" [Estimation of the axes of the ellipsoid through measurements of the meridian arc]. Astronomische Nachrichten (in German). 14 (333): 333–346. Bibcode:1837AN.....14..333B. doi:10.1002/asna.18370142301.