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
- Isaac Newton: Principia, Book III, Proposition XIX, Problem III, translated into English by Andrew Motte. A searchable modern translation is available at 17centurymaths. Search the following pdf file for 'spheroid'.
archive.org
- 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.
- Isaac Newton: Principia, Book III, Proposition XIX, Problem III, 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.
- 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. Figures.
- Delambre, J. B. J. (1799): 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
- 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.
bookdepository.com
- 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
- 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.
- 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. 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.
doi.org
doi.org
- 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
- Krüger, L. (1912): Konforme Abbildung des Erdellipsoids in der Ebene. Royal Prussian Geodetic Institute, New Series 52, page 12
forgottenbooks.com
- 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.
gsi.go.jp
- 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
harvard.edu
ui.adsabs.harvard.edu
- 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.
mdz-nbn-resolving.de
- 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
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
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
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
- A guide to coordinate systems in Great Britain, Ordnance Survey of Great Britain.
semanticscholar.org
api.semanticscholar.org
- 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
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.
worldcat.org
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.
- 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
- 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.