Geometría del movimiento: algunos elementos de su desarrollo histórico
Resumen En este artículo volvemos a la idea de Marshall Clagett sobre la existencia de una geometría del movimiento en la Grecia antigua. Se puede leer de dos maneras. Como una presentación básica de la geometría del movimiento en la Grecia antigua, seguida por algunos aspectos de su desarrollo posterior en obras históricas de Galileo y Newton. A la inversa, puede leerse como una presentación básica de aspectos de las matemáticas de Galileo y Newton que pueden considerarse como desarrollos de una geometría del movimiento que fue concebida por primera vez por matemáticos de la Grecia antigua.
- Referencias
- Cómo citar
- Del mismo autor
- Métricas
Autolycos de pitate, La sphere en movement. Levers et couchers héliaques. Testimonia. Paris: Les Belles Lettres.
Berggren, Len, and Thomas, Robert (1996). Euclid's Phaenomena. Providence: American Mathematical Society.
Brackenridge, J. Bruce (1995). The key to Newton's dynamics: the Kepler problem and the Principia. Berkeley: University of California Press.
Clagett, Marshall (1961). The science of mechanics in the middle ages. Madison: The University of Wisconsin Press.
Clavelin, Maurice (1974). The natural philosophy of Galileo. Cambridge: MIT Press.
Clavelin, Maurice (1983). Conceptual and technical aspects of the Galilean geometrization of the motion of heavy bodies. In W. R. Shea (ed.), Nature mathematized, vol. 1. Dordrecht: D. Reidel Publishing Company. https://doi.org/10.1007/978-94-009-6957-5_2
Damerow, Peter, Freudenthal, Gideon, McLaughlin, Peter, and Renn, Jürgen (2004). Exploring the limits of preclassical mechanics, second edition. New York: Springer. https://doi.org/10.1007/978-1-4757-3992-3
De Gandt, François (1995). Force and geometry in Newton's Principia. Princeton: Princeton University Press. https://doi.org/10.1515/9781400864126
Dijksterhuis, Eduard (1956). Archimedes. Copenhagen: Ejnar Munksgaard.
Drake, Stillman (1978). Galileo at work. His scientific biography. Chicago: The University of Chicago Press.
Drake, Stillman (1989). Two new sciences, second edition. Toronto: Wall & Emerson.
Euclid, (1908). The thirteen Books of the Elements, second edition. Translated with introduction and commentary by Sir Thomas L. Heath, from the critical edition of Heiberg. Cambridge: Cambridge University Press.
Evans, James (1998). The history and practice of ancient astronomy. Oxford: Oxford University Press.
Funkenstein, Amos (2004). Theology and the scientific imagination. Princeton: Princeton University Press.
Guicciardini, Niccolò (1999). Reading the principle: the debate on Newton's mathematical methods for natural philosophy from 1687 to 1736. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511524752
Guicciardini, Niccolò (2009). Isaak Newton on mathematical certainty and method. Cambridge: MIT Press. https://doi.org/10.7551/mitpress/9780262013178.001.0001
Heath, Thomas (1897). The works of Archimedes. London: C. J. Clay and Sons.
Heath, Thomas (1981). A history of Greek mathematics, vol. 1. New York: Dover Publications.
Jullien, Vincent (2015). Indivisibles in the work of Galileo. In V. Jullien (ed.), Seventeenth century indivisibles revisited. Heidelberg: Birkhäusen. https://doi.org/10.1007/978-3-319-00131-9
Mugler, Charles (1970). Archimède, vol. 1. Paris: Les Belles Lettres.
Netz, Reviel (2004). The works of Archimedes, vol. 1. Cambridge: Cambridge University Press.
Netz, Reviel (2009). Ludic proof: Greek mathematics and the Alexandrian aesthetic. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511581472
Netz, Reviel (2017). The works of Archimedes, vol. 2. Cambridge: Cambridge University Press.
Newton, Isaac (1971). The mathematical papers of Isaak Newton, vol. 4. Edited by D. T. Whiteside. Cambridge: Cambridge University Press.
Newton, Isaac (1974). The mathematical papers of Isaak Newton, vol. 6. Edited by D. T. Whiteside. Cambridge: Cambridge University Press.
Newton, Isaac (1999). The principia: mathematical principles of natural philosophy. The authoritative translation by I. B. Cohen and A. Whitman. Oakland: University of California Press, 1999.
Pourciau, Bruce (2003). Newton's argument for proposition 1 of the Principia. Archive for History of Exact Sciences, 57, 267-311. https://doi.org/10.1007/s00407-002-0062-x
Wisan, Winifred (1974). The new science of motion: A study of Galileo's De Motu Locali.Archive for History of Exact Sciences, 13, 103-306. https://doi.org/10.1007/BF00327483
Berggren, Len, and Thomas, Robert (1996). Euclid's Phaenomena. Providence: American Mathematical Society.
Brackenridge, J. Bruce (1995). The key to Newton's dynamics: the Kepler problem and the Principia. Berkeley: University of California Press.
Clagett, Marshall (1961). The science of mechanics in the middle ages. Madison: The University of Wisconsin Press.
Clavelin, Maurice (1974). The natural philosophy of Galileo. Cambridge: MIT Press.
Clavelin, Maurice (1983). Conceptual and technical aspects of the Galilean geometrization of the motion of heavy bodies. In W. R. Shea (ed.), Nature mathematized, vol. 1. Dordrecht: D. Reidel Publishing Company. https://doi.org/10.1007/978-94-009-6957-5_2
Damerow, Peter, Freudenthal, Gideon, McLaughlin, Peter, and Renn, Jürgen (2004). Exploring the limits of preclassical mechanics, second edition. New York: Springer. https://doi.org/10.1007/978-1-4757-3992-3
De Gandt, François (1995). Force and geometry in Newton's Principia. Princeton: Princeton University Press. https://doi.org/10.1515/9781400864126
Dijksterhuis, Eduard (1956). Archimedes. Copenhagen: Ejnar Munksgaard.
Drake, Stillman (1978). Galileo at work. His scientific biography. Chicago: The University of Chicago Press.
Drake, Stillman (1989). Two new sciences, second edition. Toronto: Wall & Emerson.
Euclid, (1908). The thirteen Books of the Elements, second edition. Translated with introduction and commentary by Sir Thomas L. Heath, from the critical edition of Heiberg. Cambridge: Cambridge University Press.
Evans, James (1998). The history and practice of ancient astronomy. Oxford: Oxford University Press.
Funkenstein, Amos (2004). Theology and the scientific imagination. Princeton: Princeton University Press.
Guicciardini, Niccolò (1999). Reading the principle: the debate on Newton's mathematical methods for natural philosophy from 1687 to 1736. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511524752
Guicciardini, Niccolò (2009). Isaak Newton on mathematical certainty and method. Cambridge: MIT Press. https://doi.org/10.7551/mitpress/9780262013178.001.0001
Heath, Thomas (1897). The works of Archimedes. London: C. J. Clay and Sons.
Heath, Thomas (1981). A history of Greek mathematics, vol. 1. New York: Dover Publications.
Jullien, Vincent (2015). Indivisibles in the work of Galileo. In V. Jullien (ed.), Seventeenth century indivisibles revisited. Heidelberg: Birkhäusen. https://doi.org/10.1007/978-3-319-00131-9
Mugler, Charles (1970). Archimède, vol. 1. Paris: Les Belles Lettres.
Netz, Reviel (2004). The works of Archimedes, vol. 1. Cambridge: Cambridge University Press.
Netz, Reviel (2009). Ludic proof: Greek mathematics and the Alexandrian aesthetic. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511581472
Netz, Reviel (2017). The works of Archimedes, vol. 2. Cambridge: Cambridge University Press.
Newton, Isaac (1971). The mathematical papers of Isaak Newton, vol. 4. Edited by D. T. Whiteside. Cambridge: Cambridge University Press.
Newton, Isaac (1974). The mathematical papers of Isaak Newton, vol. 6. Edited by D. T. Whiteside. Cambridge: Cambridge University Press.
Newton, Isaac (1999). The principia: mathematical principles of natural philosophy. The authoritative translation by I. B. Cohen and A. Whitman. Oakland: University of California Press, 1999.
Pourciau, Bruce (2003). Newton's argument for proposition 1 of the Principia. Archive for History of Exact Sciences, 57, 267-311. https://doi.org/10.1007/s00407-002-0062-x
Wisan, Winifred (1974). The new science of motion: A study of Galileo's De Motu Locali.Archive for History of Exact Sciences, 13, 103-306. https://doi.org/10.1007/BF00327483
Bacelar Valente, M. (2019). Geometría del movimiento: algunos elementos de su desarrollo histórico. ArtefaCToS. Revista De Estudios Sobre La Ciencia Y La tecnología, 8(2), 5–26. https://doi.org/10.14201/art201982526
Descargas
Los datos de descargas todavía no están disponibles.
+
−