Abstract

This paper describes research carried out both to obtain the location and identify possible vestiges of the old geodetic benchmarks used by the expedition formed by French geodesists Arago and Biot and Spanish geodesists Chaix and Rodríguez, to carry out the prolongation of the meridian arc of the Paris Observatory in the Valencian Community in the early 19th century in order to define the meter as the base unit of length of the International System of Units. Geodetic, historical, and field work methodologies were integrated in the study to obtain scientifically sound results, which include the determination of coordinates of the original geodetic benchmarks and the successful identification of several remains. An outstanding typical error of 0.4″ for the old angular measurements can also be deduced from the analysis. Conversely, several old altitudes were found to have errors or considerably lower accuracies than those expected, around 1 m.

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Data Availability Statement

All data, models, and code that support the findings of this study (i.e., geodetic coordinates and programming code) are available from the corresponding author upon reasonable request.

Acknowledgments

This research was funded by the Institut Cartogràfic Valencià. The authors are grateful to the editor and the three anonymous reviewers for their valuable comments that helped improve the manuscript.

References

Alder, K. 2003. The measure of all things: The seven-year odyssey and hidden error that transformed the world. New York: Free Press.
Arago, F. 1857. Astronomie populaire. Paris: Gide Éditeur.
Arago, F. 1859. Oeuvres de François Arago. Memoires Scientifiques. Tome Second. Vitesse du son, Mesure de la Méridienne, Forme et Constitution des Planètes, Électricité Atmosphérique, Pouvoirs Réfringents. Paris: Gide Éditeur.
Barbeta, V. 2019. “Desarrollo de herramientas geomáticas para la difusión de los trabajos geodésicos para la recuperación de los vestigios del Meridiano de París en el Antiguo Reino de Valencia.” Accessed April 28, 2020. https://riunet.upv.es/handle/10251/124460.
Barbeta, V. 2020. “L’arc de meridià.” Accessed March 29, 2021. https://arcmeridia.webs.upv.es.
Bigourdan, M. G. 1900. “La Prolongation de la Méridienne de Paris, de Barcelone aux Baléares.” Bull. Astronomique 17: 348–480.
Biot, J. B., and D. F. J. Arago. 1821. Recueil d’observations géodésiques, astronomiques et physiques, exécutées par ordre du Bureau des longitudes de France, en Espagne, en France, en Anglaterre et en Écosse, pour déterminer la variation de la pesanteur et des degrés terrestres sur le prolongment du Méridien de Paris; faisant suit au troisième volume de la Base du Système métrique. Paris: Ve. Courcier.
Débarbat, S. 2004. “Méchain géodésien.” Revue XYZ 100 (3): 63–70.
Delambre, J. B. 1806. Base du système métrique décimal, ou Mesure de l’arc du méridien compris entre les parallèles de Dunkerque et Barcelone, exécutée en 1792 et années suivantes: Tome premier. Paris: Institut National.
Delambre, J. B. 1807. Base du système métrique décimal, ou Mesure de l’arc du méridien compris entre les parallèles de Dunkerque et Barcelone, exécutée en 1792 et années suivantes: Tome second. Paris: Institut National.
Delambre, J. B. 1810. Base du système métrique décimal, ou Mesure de l’arc du méridien compris entre les parallèles de Dunkerque et Barcelone, exécutée en 1792 et années suivantes: Tome Troisième. Paris: Institut National.
Instituto Geográfico Nacional. 2020a. “Modelo de geoide EGM08-REDNAP.” Accessed May 6, 2020. ftp://ftp.geodesia.ign.es/geoide/.
Instituto Geográfico Nacional. 2020b. “Plan Nacional de Ortofotografía Aérea (PNOA).” Accessed April 26, 2020. https://pnoa.ign.es.
Instituto Geográfico Nacional. 2020c. “Red Geodésica Nacional.” Accessed April 26, 2020. ftp://ftp.geodesia.ign.es/Red_Geodesica/.
Mugnier, C. J. 2001. “The French Republic.” Photogramm. Eng. Remote Sens. 67 (1): 33–35.
Soler, T. 1997. “A profile of General Carlos Ibáñez e Ibáñez de Ibero: First president of the International Geodetic Association.” J. Geod. 71 (3): 176–188. https://doi.org/10.1007/s001900050086.
Soler, T., and M. Ruíz-Morales. 2006. “Letters from Carlos Ibáñez e Ibáñez de Ibero to Aimé Laussedat: New sources for the history of nineteenth century geodesy.” J. Geod. 80 (6): 313–321. https://doi.org/10.1007/s00190-006-0069-1.
Ten, A. 1996. “Medir el metro. La historia de la prolongación del arco de meridiano Dunkerque-Barcelona, base del Sistema Métrico Decimal.” Accessed April 27, 2020. https://digital.csic.es/bitstream/10261/92150/1/IL_Medir_el_metro.pdf.
Vaníček, P., and I. Foroughi. 2019. “How gravity field shortened our metre.” J. Geod. 93 (9): 1821–1827. https://doi.org/10.1007/s00190-019-01257-7.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 147Issue 3August 2021

History

Received: Sep 1, 2020
Accepted: Feb 25, 2021
Published online: Apr 26, 2021
Published in print: Aug 1, 2021
Discussion open until: Sep 26, 2021

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Suzanne V. Débarbat [email protected]
Honorary Titular Astronomer, Observatoire de Paris SYRTE, 61 Av de l’Observatoire, Paris 75014, France; Titular Member, Bureau des longitudes, 23 quai de Conti, Paris 75006, France. Email: [email protected]
Associate Professor, Universitat Politècnica de València, Camino de Vera s/n, València 46022, Spain. ORCID: https://orcid.org/0000-0001-6535-2216. Email: [email protected]
Associate Professor, Universitat Politècnica de València, Camino de Vera s/n, València 46022, Spain (corresponding author). ORCID: https://orcid.org/0000-0002-0492-4003. Email: [email protected]
Pascual Garrigues [email protected]
Associate Professor, Universitat Politècnica de València, Camino de Vera s/n, València 46022, Spain. Email: [email protected]
Xavier Navarro [email protected]
Director, Institut Cartogràfic Valencià, C/Democracia, 77, València 46018, Spain. Email: [email protected]

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