Paul Jean Joseph Barbarin (20 October 1855, Tarbes – 28 September 1931) was a French mathematician, specializing in geometry. (See p. 484.)

Education and career

Barbarin studied mathematics for a brief time at the École Polytechnique, but changed, at the age of 19, to the École Normale Supérieure, where he studied mathematics under Briot, Bouquet, Tannery, and Darboux. After graduation, Barbarin became a professor of mathematics at the Lyceum of Nice and then at the School of St.-Cyr of the Lyceum of Toulon. In 1891 he became a professor at the Lyceum of Bordeaux, where he taught for many years. At the time of his death he was a professor at the École Spéciale des Travaux Publics in Paris. In 1903 the Kazan Physical and Mathematical Society of Kazan State University awarded the Lobachevsky Prize to Hilbert but the Society cited Barbarin as the second choice among the nominees considered. When Hilbert received the Society's award,

Henri Poincaré Jules Henri Poincaré ( S: stress final syllable ; 29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The ...

contributed a report on the work of Hilbert, and Professor Mansion of Ghent contributed a report on the work of Barbarin. In a 1904 article published in the journal ''Science'',

G. B. Halsted George Bruce Halsted (November 25, 1853 – March 16, 1922), usually cited as G. B. Halsted, was an American mathematician who explored foundations of geometry and introduced non-Euclidean geometry into the United States through his own work and ...

gave an English summary of the two French reports. Athanase Papadopoulos edited and translated Lobachevsky's ''Pangéométrie ou Précis de géométrie fondée sur une théorie générale et rigoureuse des parallèles'' (''Pangeometry'') and provided a footnote concerning Barbarin: Barbarin was an Invited Speaker of the ICM in 1928 in Bologna.

Selected publications

Articles

"Note sur le planimètre polaire."
Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 19 (1880): 212–215.
"Note sur les coordonnées bipolaires."
Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 1 (1882): 15–28. *''Sur le droite de Simson.'' Mathesis 2 (1882
Part I
106–108
Part II
122–129. (See Robert Simson.)
''Note sur l'herpolhodie.''
Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 4 (1885): 538–556.
''Systèmes isogonaux du triangle.''
Association française pour l'avancement des sciences 2 (1896) 89–105.
''Triangles dont les bissectrices ont des longueurs données.''
Mathesis 16 (1896) 143–150.
''Une généralisation de théorème de Joachimstal''
Revue de mathématiques spéciales 4 (1897) 353–354. (See Ferdinand Joachimstal.) *''Constructions sphériques a la règle et au compas.'' Mathesis 19 (1899
Part I
57–60
Part II
81–85.
''On the Utility of Studying Non-Euclidean Geometry.''
The American Mathematical Monthly 8, no. 8/9 (1901) 161–163. (trans. by G. B. Halsted)
''Le cinquième livre de la Métagéométrie''
Mathesis 21 (1901) 177–191.
''Bilatères et trilatères en Metagéométrie''
Mathesis 22 (1902) 187–193.
''Les cosegments et les volumes en géométrie non euclidienne.''
Mémoires de la Société des sciences physiques et naturelles de Bordeaux, série 6, tome 2 (1902) 25–44.
''Polygones réguliers sphériques et non-euclidiens.''
Le matematiche pure ed applicate 2 (1902) 137–145.
''Calculs abrégés de sinus et cosinus circulaires ou hyperboliques''
Mémoires de la Société des sciences physiques et naturelles de Bordeaux, série 6, tome 2 (1904) 163–188.

Books

* * * (See pp. 275–276.)

References

{{DEFAULTSORT:Barbarin, Paul Jean Joseph 1855 births 1931 deaths 19th-century French mathematicians 20th-century French mathematicians French geometers