Os fundamentos da óptica geométrica de Johannes Kepler

Authors

  • Claudemir Roque Tossato Fundação Escola de Comércio Álvares Penteado

DOI:

https://doi.org/10.1590/S1678-31662007000400003

Keywords:

Optic, Kepler, Anatomy, Physiology, Plater, Alhazen, Retina, Crystalline

Abstract

This paper presents Kepler's theory of the process of vision, exposed in fifth book of Paralipomena, published in 1604. We pointed the following aspects: (1) the catalogue of the human eye made by Kepler, that was founded in Felix Plater's anatomical works; (2) the analogy between the obscure chamber and the human eye, with the understanding that the former is a dioptrical instrument like the last one; (3) the correct use, following Kepler, of geometry to the anatomical-physiological constitution exposed in the Paralipomena. From these elements, Kepler treats two basic points for the optic in the xvii th century: the first affirms that the image of the object seen by the eye is formed in the retina and not in the crystalline; the second restricts the realm of optical studies only to that treated through optical components, that is to say, to anatomical and physiological constituents, and their possibilities of geometrization.

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References

Alpers, S. A arte de descrever. São Paulo: Edusp, 1999.

Bradbury, S. & Turner, G. L. E. (Ed.). Conference of Royal Microscopical Society. Cambridge: University of Cambridge Press, 1976.

Caspar, M. Kepler. New York: Dover, 1959.

Caspar, M. & Dyck, W. (Ed.). Gesammelte Werke, Munich: C. H. Beck´sche Verlagsbuchhandlung, 1937. 17 v.

Chaui, M. A nervura do real. Imanência e liberdade em Espinosa. São Paulo: Companhia das Letras, 1999.

Chevalley, C. Introdução. In: Kepler, J. Les fundaments de l’optique moderne: paralipomènes à Vitellion. Paris: Vrin, 1980. p. 1–85.

Cohen, I. B. & Taton, R. (Ed.). L’aventure de la science, histoire de la pensée. Paris: Hermann, 1964.

Crombie, A. C. Kepler: de modo visionis. In: Cohen, I. B. & Taton, R. (Ed.). L’aventure de la science, histoire de la pensée. Paris: Hermann, 1964. p. 135-72.

Crombie, A. C. Historical aspects of microscopy. In: Bradbury, S. & Turner, G. L. E. (Ed.). Conference of Royal Microscopical Society. Cambridge: University of Cambridge Press, 1976. p. 3-112.

Crombie, A. C. Historia de la ciência: de San Agustín a Galileo. Madrid: Alianza Editorial, 1987. 2 v.

Crombie, A. C. Expectation, modeling and assent in the history of optics ii. Kepler and Descartes. Studies in History and Philosophy of Science, 22, 1, p. 89-115, 1991.

Djikstherhuis, E. J. The mechanization of the world pictures. Princeton, Princeton University Press, 1986.

Field, J. V. Two mathematical inventions in Kepler’s Ad Vitellionem paralipomena. Studies in History and Philosophy of Science, 17, 4, p. 449-68, 1986.

Görlich, P. Kepler’s optical achievements. Vistas in Astronomy, 18, p. 835-47, 1975.

Kepler, J. Ad Vitellionem paralipomena quibus astronomia pars optica traditur. In: Caspar, M. & Dyck, W. (Ed.). Gesammelte Werke, Munich: C. H. Beck’sche Verlagsbuchhandlung, 1938 [1604]. v. 2, p. 5-378.

Kepler, J. Les fundaments de l’optique moderne: Paralipomènes à Vitellion. Paris: Vrin, 1980 [1604].

Lindberg, D. C. The theory of pinhole images from antiquity to the thirteenth century. Archive for History of Exact Sciences, 5, p. 154-76, 1968.

Lindberg, D. C. The theory of pinhole images in the fourteenth century. Archive for History of Exact Sciences, 6, p. 299-325, 1970.

Lindberg, D. C. Theories of vision from Al-Kindi to Kepler, Chicago/London, The University of Chicago Press, 1976.

Linnik, V. P. Kepler’s works in the field of optics. Vistas in Astronomy, 18, p. 809-17, 1975.

Malet, A. Keplerian illusions: geometrical pictures versus optical images in Kepler’s visual theory. Studies in History and Philosophy of Science, 21, 1, p. 1-40, 1990.

Mareck, J. Kepler and optics. Vistas in Astronomy, 18, p. 849-54, 1975.

Mourão, R. R. F. Kepler. A descoberta das leis do movimento planetário. São Paulo: Odysseus, 2003.

Ronchi, V. Storia della luce. Bologna: N. Zanichelli, 1952.

Ronchi, V. Optics: the science of vision. New York: Dover, 1959.

Simon, G. On the theory of visual perception of Kepler and Descartes. Vistas in Astronomy, 18, p. 823-32, 1975.

Straker, S. M. Kepler’s optics: a study in the development of seventeenth-century natural philosophy. Indiana, 1970. Tese (Doutorado em Filosofia). Indiana University.

Straker, S. M. Kepler, Tycho, and the ‘optical part of astronomy’: the geneous of Kepler’s theory of pinhole images. Archive for History of Exact Sciences, 24, 4, p. 267-93, 1981.

Tossato, C. R. A função do olho humano na óptica do final do século xvi. Scientiae Studia, 3, 3, p. 415-41, 2005.

Zik, Y. Kepler and the telescope. Nuncius, 18, 2, p. 481-514, 2003.

Published

2007-01-01

Issue

Section

Artigos

How to Cite

Os fundamentos da óptica geométrica de Johannes Kepler . (2007). Scientiae Studia, 5(4), 471-499. https://doi.org/10.1590/S1678-31662007000400003