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Girard Desargues (; 21 February 1591 – September 1661) was a French
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
and engineer, who is considered one of the founders of
projective geometry In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting, ...
.
Desargues' theorem In projective geometry, Desargues's theorem, named after Girard Desargues, states: :Two triangles are in perspective ''axially'' if and only if they are in perspective ''centrally''. Denote the three vertices of one triangle by and , and ...
, the
Desargues graph In the mathematical field of graph theory, the Desargues graph is a distance-transitive, cubic graph with 20 vertices and 30 edges. It is named after Girard Desargues, arises from several different combinatorial constructions, has a high leve ...
, and the crater
Desargues Girard Desargues (; 21 February 1591 – September 1661) was a French mathematician and engineer, who is considered one of the founders of projective geometry. Desargues' theorem, the Desargues graph, and the crater Desargues on the Moo ...
on the
Moon The Moon is Earth's only natural satellite. It is the fifth largest satellite in the Solar System and the largest and most massive relative to its parent planet, with a diameter about one-quarter that of Earth (comparable to the width of ...
are named in his honour. Born in
Lyon Lyon,, ; Occitan: ''Lion'', hist. ''Lionés'' also spelled in English as Lyons, is the third-largest city and second-largest metropolitan area of France. It is located at the confluence of the rivers Rhône and Saône, to the northwest of ...
, 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
tithe A tithe (; from Old English: ''teogoþa'' "tenth") is a one-tenth part of something, paid as a contribution to a religious organization or compulsory tax to government. Today, tithes are normally voluntary and paid in cash or cheques or more ...
s on ecclesiastical revenues for the city of Lyon (1583) and for the
diocese of Lyon The Archdiocese of Lyon ( Latin: ''Archidiœcesis Lugdunensis''; French: ''Archidiocèse de Lyon''), formerly the Archdiocese of Lyon–Vienne–Embrun, is a Latin Church metropolitan archdiocese of the Catholic Church in France. The Archbisho ...
. Girard Desargues worked as an
architect An architect is a person who plans, designs and oversees the construction of buildings. To practice architecture means to provide services in connection with the design of buildings and the space within the site surrounding the buildings that h ...
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. 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 Ḥasan Ibn al-Haytham, Latinized as Alhazen (; full name ; ), was a medieval mathematician, astronomer, and physicist of the Islamic Golden Age from present-day Iraq.For the description of his main fields, see e.g. ("He is one of the pr ...
(
Alhazen Ḥasan Ibn al-Haytham, Latinized as Alhazen (; full name ; ), was a medieval mathematician, astronomer, and physicist of the Islamic Golden Age from present-day Iraq.For the description of his main fields, see e.g. ("He is one of the prin ...
) to Johannes
Kepler Johannes Kepler (; ; 27 December 1571 – 15 November 1630) was a German astronomer, mathematician, astrologer, natural philosopher and writer on music. He is a key figure in the 17th-century Scientific Revolution, best known for his laws o ...
, and going beyond a mere synthesis of these traditions with Renaissance perspective theories and practices. 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). 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.


See also

* Desarguesian plane, non-Desarguesian plane *
Desargues' theorem In projective geometry, Desargues's theorem, named after Girard Desargues, states: :Two triangles are in perspective ''axially'' if and only if they are in perspective ''centrally''. Denote the three vertices of one triangle by and , and ...
*
Desargues graph In the mathematical field of graph theory, the Desargues graph is a distance-transitive, cubic graph with 20 vertices and 30 edges. It is named after Girard Desargues, arises from several different combinatorial constructions, has a high leve ...
*
Desargues configuration In geometry, the Desargues configuration is a configuration of ten points and ten lines, with three points per line and three lines per point. It is named after Girard Desargues. The Desargues configuration can be constructed in two dimensions ...
*
Desargues (crater) Desargues is an ancient Lunar craters, lunar impact crater that is located near the northern limb of the Moon, on the western sphere, hemisphere. It lies nearly due south of the crater Pascal (crater), Pascal, and southeast of Brianchon (crater), ...
*
Perspective (graphical) Linear or point-projection perspective (from la, perspicere 'to see through') is one of two types of graphical projection perspective in the graphic arts; the other is parallel projection. Linear perspective is an approximate representation, ...
/
Perspective (visual) Linear or point-projection perspective (from la, perspicere 'to see through') is one of two types of graphical projection perspective in the graphic arts; the other is parallel projection. Linear perspective is an approximate representation ...
*
Optics Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultrav ...


References

* J. V. Field & J. J. Gray (1987) ''The Geometrical Work of Girard Desargues'',
Springer-Verlag Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 ...
, . *
René Taton René Taton (4 April 1915 – 9 August 2004) was a French author, historian of science, and long co-editor (along with Suzanne Delorme) of the ''Revue d'histoire des sciences''. Life He was born on 4 April 1915 in L'Échelle. He died on 9 ...
(1962
Sur la naissance de Girard Desargues.
''Revue d'histoire des sciences et de leurs applications'' Tome 15 n°2. pp. 165–166.


External links

*
Gerard Desargues, Brouillon Project d'une Atteinte aux Evenemens des Rencontres du Cone avec un Plan
{{DEFAULTSORT:Desargues, Girard 1591 births 1661 deaths 17th-century French mathematicians 17th-century French architects French engineers French geometers Architects from Lyon