Search Results for Chasles


Biographies

  1. Michel Chasles (1793-1880)
    • Michel Chasles .
    • Michel Chasles's father, Charles-Henri Chasles, was a wood merchant who became president of the chamber of commerce in Chartres.
    • Epernon, the town where Chasles was born, is in the region of Chartres lying about one third of the way from the town of Chartres to Paris.
    • Chasles was born into a fairly well off Catholic family.
    • In fact Chasles was christened Floreal Chasles by his parents after the month of the Republican calendar.
    • Chasles attended the Lycee Imperial for his secondary education.
    • Chasles was called up to take part in the defence of Paris in early 1814.
    • Chasles was able to return to his studies at the Ecole Polytechnique.
    • Having obtained a place in the engineering corps, Chasles decided not to accept it but to give his place to one of his fellow students who was in financial difficulties.
    • At this point Chasles returned to living at home but his father insisted that he join a firm of stockbrokers in Paris.
    • This was not the occupation for Chasles but he obeyed his father's wishes and went to join the firm in Paris to learn the trade of a stockbroker.
    • However, Chasles was interested in history and in mathematics and he was not successful as a trainee in the firm.
    • In 1837 Chasles published his first major work Apercu historique sur l'origine et le developpement des methodes en geometrie Ⓣ which quickly made his reputation as both a mathematician and as an historian of mathematics.
    • In Apercu historique Ⓣ Chasles studied the method of reciprocal polars as an application of the principle of duality in projective geometry; in the same way the principle of homography leads to a great number of properties of quadric surfaces.
    • The Academie des Sciences wanted to publish the work which Chasles submitted to them but he asked to be able to add to the historical introduction as well as to add further historical notes to the text and include some new material and notes.
    • This work in many ways is the crucial one for Chasles's future research since almost all of the many works he produced throughout the rest of his career elaborate on points discussed in these notes he added to the Apercu historique Ⓣ.
    • This was that Chasles could not read German so he was not so familiar with the recent results published in that language.
    • On the strength of his fine work Chasles became professor at the Ecole Polytechnique in Paris in 1841, at the age of nearly 48.
    • In his text Traite de geometrie Ⓣ in 1852 Chasles discusses cross ratio, pencils and involutions, all notions which he introduced.
    • One of the results for which Chasles is well known is his enumeration of conics.
    • Questions of this type go back to Apollonius, but such questions had arisen while Chasles was working on geometry, in particular the Steiner "problem of five conics" was posed in 1848.
    • Chasles solved this problem correctly in 1864 when he gave the answer of 3264.
    • Chasles' developed a theory of characteristics to solve this problem and Chasles's characteristic formula is discussed in [',' S L Kleiman, Chasles’s enumerative theory of conics : a historical introduction, in Studies in algebraic geometry (Washington, D.C., 1980), 117-138.','5].
    • Chasles published highly original work until his very last years.
    • Chasles received many honours for this highly original work.
    • The London Mathematical Society was founded in 1865 and it elected Chasles in 1867 as its first foreign member.
    • There is one aspect of Chasles's life which seems so out of character with the brilliant man that he was that it caused him great distress.
    • Chasles collected autographs and manuscripts but appears to have displayed a naivete which is almost unbelievable.
    • Chasles bought thousands of manuscripts from Denis Vrain-Lucas between 1861 and 1869.
    • Vrain-Lucas sold Chasles documents which purported to be part of correspondence between Newton, Pascal, and Boyle.
    • Chasles presented the letters to the Academie des Sciences in 1867 for they "proved" that Pascal was the first to propose the universal law of gravitation, and not Newton.
    • Chasles argued strongly that the letters were genuine.
    • However Vrain-Lucas was tried in 1869-70 for forging the documents and Chasles had to appear at the trial.
    • It was an extremely uncomfortable experience for Chasles since he had to admit in court that he had purchased documents supposedly written by Galileo, Cleopatra and Lazarus and how someone of Chasles's intelligence and a deep interest in history would have believed that these all these wrote in French is beyond belief! Vrain-Lucas was found guilty and Chasles, although 77 by this time, must have looked extremely silly.
    • A Poster of Michel Chasles .
    • Honours awarded to Michel Chasles .
    • 4.nParis street namesnRue Michel Chasles (12th Arrondissement) .
    • https://www-history.mcs.st-andrews.ac.uk/Biographies/Chasles.html .

  2. Ernest de Jonquičres (1820-1901)
    • In 1846 Chasles had been appointed to a chair of higher geometry at the Sorbonne which had been specially created for him.
    • De Jonquieres' appointment to the Admiralty Council meant that he was living in Paris during this period and he was already interested in mathematical research after reading the works of Poncelet and Chasles.
    • his geometric creative faculty developed in an astonishing manner, and it did not take him long to become Chasles' most eminent pupil and the most gifted commentator on his works.
    • This was the period when Chasles was collecting material for his Traite de geometrie Ⓣ (1852) in which he discusses cross ratio, pencils and involutions - all notions which he introduced.
    • De Jonquieres thrived in this association with Chasles proving results which Chasles conjectured and solving problems which he put forward.
    • After his introduction to advanced mathematics by Chasles it is not surprising that his main interests were geometry throughout his life.
    • He made many contributions many of them extending the work of Poncelet and Chasles.
    • An early work, the treatise Melanges de geometrie pure Ⓣ (1856) contains: an amplifications of Chasles' ideas on the geometric properties of an infinitely small movement of a free body in space; a commentary on Chasles' work on conic sections; the principle of homographic correspondence; and constructions relating to curves of the third order.

  3. Amédée Mannheim (1831-1906)
    • One of their teachers was Michel Chasles whose lectures on geometry had a major influence on the young student Mannheim.
    • The director of the Ecole Polytechnique for the two years that Mannheim studied there was Jean-Victor Poncelet who, like Chasles, was to have a major influence on Mannheim.
    • Michel Chasles, described as a friend of the groom, was one of the witnesses.
    • We saw above that in the early part of his career he studied the polar reciprocal transformation introduced by Chasles and later he applied his results to kinetic geometry.
    • Allow me to recall the names of three famous French mathematicians I like to quote: (i) Ampere, who has distinguished in mechanics the particular branch he named kinematics; (ii) Poncelet, who created masterfully the 'Enseignement de la Cinematique' at the Sorbonne in 1838; (iii) M Chasles, whose beautiful work on geometry has contributed significantly to the progress of kinematics.

  4. Hieronymus Georg Zeuthen (1839-1920)
    • He decided to visit Paris and there he studied geometry with Chasles.
    • This was extremely important for Zeuthen since his research areas of mathematics were firmly shaped by Chasles during this period.
    • In this work Zeuthen adhered closely to Chasles's theory of the characteristics of conic systems but also presented new points of view: for the elementary systems under consideration, he first ascertained the numbers for point or line conics in order to employ them to determine the characteristics.
    • As we mentioned above, he developed the enumerative calculus, proposed by Chasles, for counting the number of curves touching a given set of curves.

  5. Eugčne Catalan (1814-1894)
    • Catalan was not the only one to leave the Ecole Polytechnique following the report of Le Verrier's commission; Michel Chasles, Joseph Liouville and Charles-Francois Sturm also immediately resigned in protest.
    • He was asked to submit a new version of his memoir in 1862 which was considered by a panel consisting of Bertrand, Chasles, Liouville and Serret.
    • Chasles and Liouville recommended that he receive the prize, but the others proposed that the prize should not be awarded.

  6. Emil Weyr (1848-1894)
    • In Paris he planned to attend lectures by Charles Hermite, Joseph Alfred Serret, Michel Chasles, and other leading mathematicians.
    • On this occasion he took the opportunity to have discussions with Chasles and, before leaving France, he went to Bordeaux to talk with Jules Houel.
    • His approach to synthetic geometry was in the style of Chasles and Cremona while the other geometric approach at the time, namely that of Karl von Staudt and Theodor Reye, had little influence on him.

  7. Urbain Le Verrier (1811-1877)
    • However, Michel Chasles was appointed as Savary's successor and Le Verrier remained as a repetiteur to Chasles (as did Catalan and Delaunay).
    • When the recommendations were approved, some reactions at the school were stark: Liouville and Chasles resigned immediately in protest at this rejection of the emphasis on teaching purish mathematics that they had inherited and continued from predecessors such as Cauchy.

  8. George-Henri Halphen (1844-1889)
    • The first result which brought him to the attention of mathematicians world-wide was his solution in 1873 of a problem of Chasles [',' M Bernkopf, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    • Given a family of conics depending on a parameter, how many of them will satisfy a given side condition? Chasles had found a formula for this but his proof was faulty.
    • Halphen showed that Chasles was essentially correct, but that restrictions on the kinds of singularity were necessary.

  9. Charles Graves (1812-1899)
    • This was On the General Properties of Cones of the Second Degree and of Spherical Conics which was a translation of work by Michel Chasles but included much of Graves' own work [',' B Williamson, Graves, Charles (1812-1899), rev.
    • In the copious notes appended to this translation he gave a number of new theorems of much interest, which he arrived at principally by Chasles's methods.
    • Bertrand's famous treatise on integral calculus (1864) attributed Graves's theorem to Chasles, who arrived at it later by an independent investigation.

  10. Étienne Bobillier (1798-1840)
    • The theory of centroids by Chasles (1830) was used by Bobillier in his construction of centres of curvature of plane roulettes in 1831.
    • Chasles, who did not know Bobillier personally and in fact made a serious mistake in the date of his death and Bobillier's age (writing "he was snatched in 1832 at the age of thirty-five"), wrote [',' M Chasles, Etienne Bobillier, Rapport sur les progres de la geometrie (Paris, 1870), 65-68.','2]:- .

  11. Moritz Cantor (1829-1920)
    • During this visit, which Cantor made shortly after his encouraging Bonn meeting, he became friendly with Michel Chasles and Joseph Bertrand.
    • Chasles was an acknowledged leading expert on the history of geometry and encouraged Cantor to publish further historical material in Comptes Rendus.

  12. Hermann Schubert (1848-1911)
    • Using methods of Chasles, with Schroder's logical calculus as a model, he set up a system to solve such problems, he called it the principal of conservation of the number.
    • Schubert's achievement was to combine this procedure, which he called "the principle of conservation of number", with the Chasles correspondence principle, thus establishing the foundation of a calculus.

  13. Wilhelm Fiedler (1832-1912)
    • Over the next few years he studied around 250 books including mathematical works by Michel Chasles, Gabriel Lame, Jean Claude Barre de Saint-Venant, Jean-Victor Poncelet, Jakob Steiner, Julius Plucker, Karl von Staudt, George Salmon, Arthur Cayley, and James Joseph Sylvester.
    • Fiedler turned to geometry and studied the ideas of Jakob Steiner, Julius Plucker, August Mobius, Karl von Staudt and the French mathematicians Jean-Victor Poncelet, Michel Chasles and Gabriel Lame.

  14. Gaston Darboux (1842-1917)
    • Then, in 1878 he became suppleant to Chasles in the chair of higher geometry, also at the Sorbonne.
    • Two years later Chasles died and Darboux succeeded him to the chair of higher geometry, holding this chair until his death.

  15. Gabriel Koenigs (1858-1931)
    • The construction of centres of curvature of plane roulettes by Bobillier (1831), Gilbert (1858) and Koenigs (1897) was based on the theory of centroids by M Chasles (1830).
    • In facing the formidable array of researches and methods of Poinsot, Chasles, Bonnet, Ribaucour, Darboux, and a host of others the author must have experienced no little difficulty in choosing a method of exposition of the subject matter.

  16. Olinde Rodrigues (1795-1851)
    • Chasles was a contemporary of Olinde at the Lycee Imperial and both sat the entrance examinations for the Ecole Polytechnique and Ecole Normale in 1811.
    • Rodrigues was ranked first in the competitive examination while Chasles was ranked second.

  17. Joseph Gergonne (1771-1859)
    • In addition to Gergonne himself (who published around 200 articles), Poncelet, Servois, Bobillier, Steiner, Plucker, Chasles, Brianchon, Dupin, Lame, Galois and many others had papers appear in the Journal.
    • Chasles, in Apercu historique ..

  18. Pierre Bonnet (1819-1892)
    • From 1868 Bonnet assisted Chasles at the Ecole Polytechnique, and three years later he became a director of studies there.

  19. Hendrik de Vries (1867-1954)
    • The seven articles look at the contributions of the geometers Blaise Pascal, Charles-Julien Brianchon, Julius Plucker, and Michel Chasles.

  20. Edmond Laguerre (1834-1886)
    • He was one of the most penetrating geometers of our age: his discoveries in geometry place him in the first rank among the successors of Chasles and Poncelet.

  21. Poul Heegaard (1871-1948)
    • He graduated with a Master's Degree in 1893 having written a thesis on Michel Chasles' description of algebraic curves in a surface of second order.

  22. Ernesto Cesŕro (1859-1906)
    • Cesaro visited Paris during the period of his studies at Liege and there he attended lectures by Hermite, Darboux, Serret Briot, Bouquet and Chasles at the Sorbonne.

  23. Archimedes (287 BC-212 BC)
    • Chasles said that Archimedes' work on integration (see [',' T L Heath, A history of Greek mathematics II (Oxford, 1931).','7]):- .

  24. Émile Mathieu (1835-1890)
    • Mathieu presented to the Minister a list of recommendations signed by Joseph Alfred Serret, Jean Victor Poncelet, Jean-Marie Duhamel, Joseph Liouville, Michel Chasles, Charles Delaunay, and Victor Puiseux.

  25. Ágoston Scholtz (1844-1916)
    • For example Six points lying on a conic section, and the theorem hexagrammum mysticum (1877), One theorem about determinants (1877), Six points on a conic section and the theorem of Chasles (1877), and Some determinant forms of covariant character (1878).

  26. Julian Coolidge (1873-1954)
    • A History of Geometrical Methods was inspired by Chasles' classical Apercu historique sur l'origine et le developpement des methodes en geometrie of 1837.

  27. Adolf Hurwitz (1859-1919)
    • We note that this first paper by Hurwitz, written jointly with Schubert, was on Chasles's theorem.

  28. Gösta Mittag-Leffler (1846-1927)
    • Although Mittag-Leffler met many mathematicians in Paris, such as Bouquet, Briot, Chasles, Darboux, and Liouville, the main aim of the visit was to learn from Hermite.

  29. Victor Amédée Lebesgue (1791-1875)
    • In 1839 he had been ranked third in line for a place as corresponding member in the Geometry Section of the Academy of Sciences; M Chasles, who was ranked in the first place, was elected on this occasion.

  30. Ole Peder Arvesen (1895-1991)
    • Among Arvesen's earliest publications on geometry are Quelques etudes sur la largeur des courbes Ⓣ (1926), Om grundlaeggelsen av den diskriptive geometri ved Monge Ⓣ (1928), Remarque sur un theoreme de Chasles Ⓣ (1929), Sur un theoreme de Duhamel Ⓣ (1931), and Un theoreme sur le rayon de courbure de certaines courbes de direction Ⓣ (1931).

  31. Giovanni Ceva (1647-1734)
    • The importance of Ceva's discoveries was only fully appreciated when pointed out by Michel Chasles in the 19th century.

  32. Matthew O'Brien (1814-1855)
    • Sylvester, whose referees had included Sir William Rowan Hamilton, Charles Graves, Philip Kelland, James Challis, Jean-Victor Poncelet, Michel Chasles, Jean-Marie Duhamel, Joseph Serret, Charles Hermite and Joseph Bertrand, was none too pleased that he had not been appointed.

  33. Christian Wiener (1826-1896)
    • His chief work is a two volume book on geometry Lehrbuch der darstellenden Geometrie Ⓣ which supplements Chasles's work and contains important historical information [',' H G Korber, Biography in Dictionary of Scientific Biography (New York 1970-1990).','1]:- .

  34. Harry Bateman (1882-1946)
    • In 1905 he studied certain quartic surfaces examined earlier by Cayley and Chasles.

  35. Claude Mydorge (1585-1647)
    • The technique was taken up by La Hire and Newton, then later by Poncelet and Chasles.

  36. Gino Loria (1862-1954)
    • Loria himself first heard of the existence of Fergola's school when he read Chasles's 'Apercu historique sur l'origine et le developpement des methods en geometrie' Ⓣ (1875) that "we owe several important works that re-establish ancient geometrical analysis in its original purity to the celebrated Fergola and his students.

  37. Robert Tucker (1832-1905)
    • Tucker also wrote many biographies including those of Gauss, Sylvester, Chasles, Spottiswoode, and Hirst, all of which appeared in Nature.

  38. Paul Appell (1855-1930)
    • Appell's first paper in 1876 was based on projective geometry continuing work of Chasles.

  39. Nicolas Chuquet (1445-1488)
    • Chasles pointed out, in 1841, that La Roche's work held this distinction, but also pointed to a lost work of Chuquet as being earlier.

  40. Louis Poinsot (1777-1859)
    • Poinsot intended the chair for Chasles and indeed he was appointed to the new chair which he occupied until his death in 1880.

  41. Ferdinand von Lindemann (1852-1939)
    • In England he made visits to Oxford, Cambridge and London, while in France he spent time at Paris where he was influenced by Chasles, Bertrand, Jordan and Hermite.

  42. Karl von Staudt (1798-1867)
    • It is only in his 'Beitrage', his second work, that, by a very original extension of Chasles's method, he geometrically defined an isolated, imaginary element and distinguished it from its conjugate.

  43. Heinrich Schröter (1829-1892)
    • His next paper, however, Uber die Raumcurven dritter Klasse und dritter Ordnung Ⓣ (1859) built on work by Chasles in a paper he published in 1857.

  44. Sadi Carnot (1796-1832)
    • Chasles was in the same class as Carnot and their friendship lasted throughout Carnot's life.

  45. Carl Borchardt (1817-1880)
    • The year 1846-47 he spent in Paris where he met Chasles, Hermite and Liouville.

  46. Luigi Cremona (1830-1903)
    • Chasles was the type on whom at first Cremona modelled his own work.

  47. Matthew Stewart (1717-1785)
    • Michel Chasles ranked [Simson and Stewart] among the most important contributors to the progress of geometry.

  48. Sophus Lie (1842-1899)
    • There they met Darboux, Chasles and Camille Jordan.

  49. Constantin Le Paige (1852-1929)
    • Le Paige studied the generation of plane cubic and quartic curves, developing further Chasles's work on plane algebraic curves and Steiner's results on the intersection of two projective pencils.

  50. Ludwig Sylow (1832-1918)
    • In Paris he attended lectures by Michel Chasles on the theory of conics, by Joseph Liouville on rational mechanics and by Jean-Marie Duhamel on the theory of limits.

  51. James Booth (1806-1878)
    • Many years ago, after I had taken my degree I, was much interested in the study of the original memoirs on reciprocal curves and curved surfaces, published in the 'Annales Mathematique' of Gergonne, and in the works of such accomplished geometers as Monge, Dupin, Poncelet, and Chasles.

  52. Georg Sidler (1831-1907)
    • He attended lectures by J Bertrand (analysis), M Chasles (geometry), H Faye (astronomy), G Lame (mathematical physics), U J Le Verrier (popular astronomy), J Liouville (differential equations) and V Puiseux (celestial mechanics).


History Topics

  1. Forgery 1
    • The mathematician of the title is Chasles and the forger is Denis Vrain-Lucas.
    • Chasles was an outstanding mathematician, famous both as a geometer and as an historian of mathematics.
    • Vrain-Lucas was trained as a law clerk and, like Chasles, he was interested in history.
    • The whole episode of Chasles and Vrain-Lucas seems quite beyond comprehension but in order to get some understanding of how Chasles might have been taken in by the forgeries we should look briefly at the background to the content of the first letters which Chasles bought from him.
    • When Vrain-Lucas approached Chasles in 1861 offering to sell him letters between famous people from history, Chasles bought them eagerly and asked Vrain-Lucas if he could seek out more.
    • Chasles was sold letters purporting to be between Pascal, Newton and Boyle, in which Pascal claimed that he, rather than Newton, had first put forward the idea of universal gravitation.
    • It is easy to see why Chasles would have been so delighted with the letters that Vrain-Lucas showed him.
    • If it is hard to understand how Chasles fell for these forgeries, it is even harder to understand how such an highly intelligent man fell for some of the other forgeries that Vrain-Lucas sold him.
    • He would not speak to anyone, and he went only to the house of M Chasles.
    • In 1867 Chasles approached the Academie des Sciences with his "proof" that Pascal had discovered the law of universal gravitation before Newton.
    • There followed a period of vigorous debate and argument over whether the letters were genuine and during this time Chasles strongly defended his belief that the letters were genuine.
    • 27">When Chasles disclosed to the French Academie des Sciences his theory of Pascal's priority to Newton, there was considerable scepticism.
    • Chasles displayed some of his letters, and it was pointed out that the handwriting was not the same as that of letters which were indubitably Pascal's.
    • The debate raged on through 1868, with Chasles forced to name Vrain-Lucas as the person who had sold him the letters [',' H Eves, In mathematical circles (1969), 39-40.','2]:- .
    • For example it was pointed out that Galileo was blind when he supposedly wrote some of the letters which Chasles had purchased from Vrain-Lucas.
    • It is hard to imagine a serious academic debate reduced to what appears to be farce, yet with Chasles still apparently believing all the letters to be genuine.
    • Chasles had to give evidence at the trial during which it became public knowledge that he had purchased hundreds of letters from Vrain-Lucas supposedly written by figures such as Galileo, Cleopatra, Lazarus, Amerigo Vespucci, Charlemagne, St Jerome, Plato, Socrates and many others.
    • It is probably true that Chasles, in his ardour and enthusiasm, did not look at many of his 27 000 purchases.
    • It also emerged at the trial that Chasles had paid large sums of money for these letters:- .
    • From 1861 to 1869 Chasles paid Lucas between 140 000 and 150 000 francs for the false documents and for books to which Lucas had given spurious provenances.
    • Of course there remains the question of how Chasles, one of the most intelligent men in France and a respected historian, had been taken in with such unsophisticated forgeries.
    • The mystery of Chasles' naivety has never been explained.
    • Again Chasles' Traite des sections coniques Ⓣ (1865) is a text of major importance, and he was undertaking this work throughout the period he was purchasing documents from Vrain-Lucas.
    • Some have suggested that Chasles was indeed an accomplice of Vrain-Lucas.
    • One puzzle which might be relevant to this possibility is that although Chasles and others paid Vrain-Lucas large sums of money, and he seems to have had little opportunity to spend the money, yet at his trial Vrain-Lucas claimed that he had spent almost all the money he had received.
    • One might argue that if Chasles were an accomplice then he would not have paid Vrain-Lucas the sums he claimed.
    • Yet if he were an accomplice then surely Chasles was just as naive to believe that those in the Academie des Sciences and others would accept the unsophisticated forgeries as genuine.
    • This seems even less likely since we now have to suppose that Chasles was both naive and a crook and nothing in his life would suggest that he was anything other than the most honest of men.
    • Perhaps then Chasles was just so patriotic, and so wanting to make the academic discovery of all time, that his desire for the letters to be genuine overcame his common sense.
    • In fact rather than be an accomplice, and therefore a common criminal, it seems more likely that Chasles was such an honest man, living a sheltered academic life away from the real world, that he accepted Vrain-Lucas simply as someone like himself with a passionate interest in history and scholarship.
    • Chasles, in his ardour and enthusiasm, did not look at many of his 27 000 purchases.

  2. Hirst's diary
    • Chasles .
    • Michel Chasles: .
    • (18 Nov 1857) I went to hear Chasles' first lecture on geometry, and was far from satisfied with it.

  3. Abstract linear spaces
    • The move away from coordinate geometry was mainly due to the work of Poncelet and Chasles who were the founders of synthetic geometry.
      Go directly to this paragraph

  4. Mathematics and Art
    • One could certainly consider this work as being an important step towards the theory of descriptive and projective geometry as developed by Monge, Chasles and Poncelet.


Societies etc

  1. French Mathematical Society
    • 1873 M Chasles .

  2. London Mathematical Society
    • The first such member was Chasles.


Honours

  1. Rue Michel Chasles
    • Rue Michel Chasles .

  2. Copley Medal
    • 1865 Michel Chasles .

  3. Fellow of the Royal Society
    • Michel Chasles 1854 .

  4. Paris street names
    • Rue Michel Chasles (12th Arrondissement) WnMn .

  5. Eiffel scientists
    • Chasles (Geometer) .

  6. LMS Honorary Member
    • 1867 M Chasles .

  7. Eiffel Tower
    • Chasles .


References

  1. References for Michel Chasles
    • References for Michel Chasles .
    • http://www.britannica.com/biography/Michel-Chasles .
    • J Bertrand, Michel Chasles, Eloges academique (Paris, 1902), 27-58.
    • O Bottema, Michel Chasles or the tragedy of orthodoxy (Dutch), Euclides (Groningen) 48 (9) (1972/73), 349-354.
    • S L Kleiman, Chasles's enumerative theory of conics : a historical introduction, in Studies in algebraic geometry (Washington, D.C., 1980), 117-138.

  2. References for Étienne Bobillier
    • M Chasles, Etienne Bobillier, Rapport sur les progres de la geometrie (Paris, 1870), 65-68.

  3. References for Jean-Claude Bouquet
    • M Chasles, Rapport sur les progres de la geometrie en France (Paris, 1870), 214-215.

  4. References for Pierre Bonnet
    • M Chasles, Rapport sur les progres de la geometrie en France (Paris, 1870), 199-214.

  5. References for Apollonius
    • M Chasles, Apercu historique sur l'origine et le developpement des methodes en geometrie (Paris, 1837).


Additional material

  1. Who was who 1852
    • Those mentioned so far were all analysts, but there were also geometers around: Jean-Victor Poncelet (1788-1867), the father of projective geometry, Charles Dupin (1784-1873) and Michel Chasles (1793-1880), were active.
    • The algebraic geometer Chasles, who created the enumerative methods of geometry, devoted almost twenty-five years of his life to banking in his home town Chartres; in 1846 the Sorbonne created a professorship in higher geometry for him.
    • His most famous acquisition was a letter supposedly written by Mary Magdalene from Marseille to Saint Peter in Rome! Even Chasles ultimately had to admit that he had been swindled.

  2. Arvesen publications
    • Ole Peder Arvesen, Remarque sur un theoreme de Chasles, Bulletin sc.
    • Ole Peder Arvesen, Courbes de Chasles superieures, Norske Vid.

  3. Graves on Hamilton
    • According to him, the modern geometry, which deals with the infinites and imaginaries of space, has its beauty and its fascination; and he reckoned the happy daring of such geometers as Poncelet and Chasles as closely allied to poetry.

  4. Percy MacMahon addresses the British Association in 1901
    • Amongst schoolboys of various ages we note Fresnel, Bessel, Cauchy, Chasles, Lame, Mobius, von Staudt and Steiner on the Continent, and Babbage, Peacock, John Herschel, Henry ParrHamilton and George Green in this country.

  5. Catalan retirement
    • Apres ma sortie de l'Ecole polytechnique, je suis devenu le disciple et l'ami de Liouville, de Sturm, de Lame, d'Arago, de Chasles.

  6. Bell books
    • Also the author has broad views on the whole range of algebra; nor is he afraid of giving personal opinions, in delicately worded sentences, somewhat after the manner of Chasles or Klein, which throw a flood of light on the subject.

  7. Catalan retirement
    • After I left the Ecole Polytechnique, I became the disciple and friend of Liouville, Sturm, Lame, Arago and Chasles.

  8. Gibson History 7 - Robert Simson
    • Chasles, the next in importance of those who have thoroughly investigated the subject, agrees in the main with Simson's conceptions, but develops certain views of his own.

  9. Publications of Albert Wangerin
    • Laplace, Ivory, Gauss, Chasles und Dirichlet: Uber die Anziehung homogener Ellipsoide (W Engelmann, Leipzig, 1890).

  10. Booth Analytic Method
    • My attention has been just directed by a friend to a letter from M Chasles, dated December 10, 1829, published in the Correspondence Mathematique of M Quetelet, tom.

  11. Smith's History Papers
    • If we consider the excellent summary of Hindu geometry made long ago by M Chasles (in 1875), and the various scholarly essays upon the subject that have of late appeared, it may seem an unnecessary labour if not indeed a presumption to attempt to do more with our present fund of knowledge.

  12. Mannheim publications
    • (Rapport de M Chasles), Comptes Rendus des Seances de l'Academie des Sciences LXXVII (1873), 752-756.


Quotations

  1. A quotation by Chasles
    • A quotation by Michel Chasles .


Famous Curves

No matches from this section


Chronology

  1. Chronology for 1850 to 1860
    • Chasles publishes Traite de geometrie which discusses cross ratio, pencils and involutions, all notions which he introduced.

  2. Mathematical Chronology
    • Chasles publishes Traite de geometrie which discusses cross ratio, pencils and involutions, all notions which he introduced.


EMS Archive

  1. 1927-28 May meeting
    • Professor Turnbull discussed the development of geometry, both pure and analytical, from the time of the Greeks, down to the days of Chasles.

  2. 1915-16 Nov meeting
    • Press, Edward: "An easy geometrical proof of a theorem of Chasles", {Communicated by J Mackenzie} .

  3. Edinburgh Mathematical Society Lecturers 1883-2016
    • (Bank of Abyssinia, Addis Ababa, Abyssinia) An easy geometrical proof of a theorem of Chasles, {Communicated by J Mackenzie} .


BMC Archive

No matches from this section


Gazetteer of the British Isles

  1. London Learned Societies
    • Adams (1848), Foucault (1855), Weber (1859), Chasles (1865), Plucker (1866), Wheatstone (1868), Joule (1870), Sylvester (1880), Cayley (1882), Thomson (Lord Kelvin) (1883), George Salmon (1889), Simon Newcomb (1890), Stokes (1893), Weierstrass (1895), Rayleigh (1899), Gibbs (1901), Mendeleeff (1905), Michelson (1907), G.


Astronomy section

  1. List of astronomers

  2. List of astronomers
    • Chasles, Michel .


This search was performed by Kevin Hughes' SWISH and Ben Soares' HistorySearch Perl script

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JOC/BS August 2001