Girard Desargues
French mathematician and engineer, founder of projective geometry.
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Girard Desargues was a French mathematician and engineer, born in Lyon on 21 February 1591 and dying in September 1661. He is considered one of the founders of projective geometry, and his name is attached to Desargues's theorem, the Desargues graph, and the lunar crater Desargues.
- born
- 21 February 1591, Lyon
- died
- September 1661, Lyon
- field
- Mathematics, engineering, architecture
- nationality
- French
- known_for
- Founder of projective geometry; Desargues's theorem; Desargues graph; Desargues
Verified Timeline
Lore & Background
Desargues came from a family devoted to service to the French crown. His father was a royal notary, an investigating commissioner of the Seneschal's court in Lyon (1574), the collector of the tithes on ecclesiastical revenues for the city of Lyon (1583) and for the diocese of Lyon. Girard Desargues worked as an architect from 1645. Prior to that, he had worked as a tutor and may have served as an engineer and technical consultant in the entourage of Richelieu. Yet his involvement in the Siege of La Rochelle, though alleged by Ch. Weiss in Biographie Universelle (1842), has never been testified. As an architect, Desargues planned several private and public buildings in Paris and Lyon. As an engineer, he designed a system for raising water that he installed near Paris. It was based on the use of the epicycloidal wheel, the principle of which was unrecognized at the time. His research on perspective and geometrical projections can be seen as a culmination of centuries of scientific inquiry across the classical epoch in optics that stretched from al-Hasan Ibn al-Haytham (Alhazen) to Johannes Kepler, and going beyond a mere synthesis of these traditions with Renaissance perspective theories and practices. Late in his life, Desargues published a paper with the cryptic title of DALG. The most common theory about what this stands for is Des Argues, Lyonnais, Géometre (proposed by Henri Brocard). He died in Lyon.
Reader's Guide
Girard Desargues is significant as one of the founders of projective geometry. His work was rediscovered and republished in 1864. A collection of his works was published in 1951, and the 1864 compilation remains in print. One notable work, often cited by others in mathematics, is 'Rough draft for an essay on the results of taking plane sections of a cone' (1639). His legacy includes Desargues's theorem, the Desargues graph, and the Desargues configuration, all named after him. The lunar crater Desargues also bears his name. His contributions bridged classical optics and Renaissance perspective, influencing later developments in geometry.
Did You Know?
- Desargues's father was a royal notary and an investigating commissioner of the Seneschal's court in Lyon in 1574.
- As an engineer, Desargues designed a system for raising water near Paris based on the epicycloidal wheel, a principle unrecognized at the time.
- His research on perspective and geometrical projections built on work from al-Hasan Ibn al-Haytham (Alhazen) to Johannes Kepler.
- Late in his life, Desargues published a paper with the cryptic title DALG, most commonly interpreted as Des Argues, Lyonnais, Géometre.
- The lunar crater Desargues is named after him.
Frequently Asked Questions
Who is Girard Desargues?
He was a French mathematician, engineer, and architect who lived his entire life in Lyon. He is best remembered as a founding figure of projective geometry.
What is Desargues's theorem?
It is a cornerstone result in projective geometry stating that two triangles are in perspective from a point if and only if the intersections of their corresponding sides lie on a single line. The theorem still anchors modern treatments of the subject.
Where and when was Desargues born?
He was born in Lyon, France, on 21 February 1591.
How did Desargues's life end?
He died in his hometown of Lyon in September 1661, at the age of seventy.
Why is Desargues considered important in mathematics?
He is credited as one of the founders of projective geometry, a field that reshapes how we understand space, perspective, and invariance. His name also lives on in the Desargues graph and a lunar crater, underscoring his lasting influence across mathematics and science.
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