John Casey (mathematician)

John Casey ( born May 12, 1820 Coolattin, Ireland; † 3 January 1891 in Dublin) was an Irish mathematician who is best known for his work on geometry.

Life

John Casey worked as a teacher at a school in Tipperary, 1847, he married Catherine Ryan and had four children with her. In 1854 he was appointed rector of a newly opened model school in Kilkenny. There he was introduced by a former student of Trinity College, Dublin in higher mathematics and began in the aftermath of the Trinity College working mathematicians Richard Wend Town and George Salmon on geometric problems to communicate. This eventually he proposed to study at Trinity College for an advanced degree. From 1858 he attended courses at Trinity College in 1862 and made its financial statements, during his studies, he published several papers on geometric topics. After graduation, John Casey worked as a Science Master in education and was from 1862 to 1868 one of the editors of the magazine " Messenger of Mathematics ". 1873 provided him with both the Catholic University in Dublin and later Trinity College to a professorship. The place at Trinity College, he said, since he had already been granted the Catholic University a promise and felt this bound. Since the Catholic University but at that time did not have enough students to pay him a regular salary, he worked 1873-1882 as a professor at the Civil Service College and prepared the French college students in front of the entrance examination at the Civil Service College. In 1882, he was finally a fellow of the 1880 resulting from the Catholic University Royal University (later National University of Ireland ) with an annual salary of £ 400

He was a member of the Royal Irish Academy ( 1866) and Fellow of the Royal Academy ( 1875) and received both from Trinity College ( 1869) and from the Royal University ( 1885), an honorary doctor of law. He was the Irish language in the attached and, therefore, a lifetime member of the Gaelic Union and the Society for the Preservation of the Irish Language.

Work

John Casey has published over 25 research papers and wrote six textbooks. His annotated edition of the Elements of Euclid, containing an unusually extensive collection of problems of geometric problems which he had collected with Richard Townsend. At the most influential, however, proved to be published in 1881 Sequel to Euclid, which compiled all the recent results of elementary geometry for the first time in the form of a textbook. Along with Émile Lemoine (1840-1912) he was at that time for a revival of interest in elementary geometry (then under the title "modern geometry " or "modern triangle geometry " ) is responsible. Today he is known primarily for he discovered extension of the set of Ptolemy, which has since been referred to as a set of Casey.

  • On Cubic Transformations ( Dublin, 1880)
  • A Sequel to the First Six Books of the Elements of Euclid (Dublin, 1881)
  • The First Six Books of the Elements of Euclid (Dublin, 1882)
  • Treatise on the Analytic Geometry of the Point, Line, Circle and Conic Sections (Dublin, 1885)
  • Treatise on Elementary Trigonometry (Dublin, 1886)
  • Treatise on Spherical Geometry (Dublin, 1889).
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