Hostname: page-component-76fb5796d-skm99 Total loading time: 0 Render date: 2024-04-25T12:55:50.062Z Has data issue: false hasContentIssue false

The remarkable Ibn al-Haytham

Published online by Cambridge University Press:  01 August 2016

John D. Smith*
Affiliation:
Winchester College, Winchester SO23 9NA

Extract

‘I saw that I can reach the truth only through concepts whose matter are sensible things and whose form is rational.’

The achievements in experimental and theoretical science of the Arab scholar al-Haytham (also known as Alhazen, from his latinized first name al-Hasan) make him as much a figure of the sixteenth and seventeenth centuries as of his own tenth and eleventh centuries.

When his writings become known in the West the importance of his contribution to optics was widely recognized and he was studied by Galileo, Kepler, Fermat, Snell and Descartes. Mathematicians remember al-Haytham chiefly for Alhazen's Problem on the reflection of light from a circular mirror, which he solved by the method of conic sections; Huygens, Gregory, l'Hospital, Barrow (and many others) later took up the problem with the new analytical methods of geometry. Al-Haytham also wrote a commentary on the postulates of Euclid, and his attempted proof of the parallel postulate has similarities to Lambert's quadrilateral and Playfair's axiom in the eighteenth century. His theory of cognition may produce yet further interest in his work.

Type
Research Article
Copyright
Copyright © The Mathematical Association 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Baker, M., “Alhazen’s Problem”, American Journal of Mathematics 4, pp. 327331 (1881).CrossRefGoogle Scholar
2. Bode, P., “Die Alhazensche Spiegelaufgabe”, Jahresbericht des Phys. Vereins zu Frankfurt am Main fur 1891, pp. 63107 (Frankfurt, 1893).Google Scholar
3. Bruins, E.M., “Problema Alhaseni, At the Tercententary of Huygens’ Solution”, Centaurus 13 pp. 269277. (1969).CrossRefGoogle Scholar
4. Lanczos, C., The Variational Principles of Mechanics, 2nd ed. (Toronto, 1962).Google Scholar
5. Lohne, J.A., “Alhazens Spiegelproblem”, Nordisk matematisk tidskrift, 18, pp. 535 (1970).Google Scholar
6. Niven, I., Maxima and Minima Without Calculus (Mathematical Association of America, 1981).Google Scholar
7. Omar, S.B., Ibn al-Haytham’s Optics (Minneapolis, 1977).Google Scholar
8. Pedoe, D.A.,A Course in Geometry (Cambridge, 1971).Google Scholar
9. Sabra, A.I., Article on ‘Ibn al-Haytham’ in Dictionary of Scientific Biography, vol. 6, pp. 189210 (New York, 1981).Google Scholar
10. Sabra, A.I., Theories of Light (Cambridge, 1981).Google Scholar
11. Sude, B.H., Ibn al-Haytham’s commentary on the premises of Euclid’s elements, books (i)-(vi), (Princeton University dissertation, 1974).Google Scholar