Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-30T17:32:43.338Z Has data issue: false hasContentIssue false
  • English
  • Français

Desargues’ involution theorem: from history to applications

Published online by Cambridge University Press:  16 February 2023

Alexandru Gîrban
Alexandru Gîrban*
Affiliation:
Christ’s College, St. Andrew’s Street, Cambridge CB2 3BU e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Desargues’ Involution Theorem is a powerful problem solving tool to anyone interested in projective geometry and its contemporary applications. To give a better understanding of this fundamental result, we present the history of the idea and we illustrate several direct applications.

Type
Articles
Information
The Mathematical Gazette , Volume 107 , Issue 568 , March 2023 , pp. 44 - 55
Check for updates
Copyright
© The Authors, 2023. Published by Cambridge University Press on behalf of The Mathematical Association

References

Field, J. V., Gray, J., The geometrical work of Girard Desargues, Springer-Verlag (1987).10.1007/978-1-4613-8692-6CrossRefGoogle Scholar
Taylor, C., An introduction to the ancient and modern geometry of conics, Deighon Bell (1881).Google Scholar
Coxeter, H. S. M., Projective geometry (2nd edn.), Springer-Verlag (1987).Google Scholar
Coxeter, H. S. M., Introduction to geometry (2nd edn.), John Wiley and Sons (1969).Google Scholar
Chen, E., Euclidean geometry in mathematical olympiads, Mathematical Association of America (2016).10.5948/9781614444114CrossRefGoogle Scholar
Cremona, L., Elements of projective geometry (2nd edn.), Clarendon Press (1885).Google Scholar
Ayres, F., Jr., Theory and problems of projective geometry, Schaum Publishing Co. (1967).Google Scholar
Nicolescu, L., Boskoff, W. G., Probleme practice de geometrie (Practical problems in geometry) Romanian language, Bucharest: Ed. Tehnica (1990).Google Scholar
Pickford, A. G., Elementary projective geometry, Cambridge University Press (1909).Google Scholar