Eduard Lill

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Eduard Lill (born October 20, 1830 in Brüx , Bohemia , Austrian Empire , † July 30, 1900 in Gorizia , Austria-Hungary ) was an Austrian officer and engineer.

Life

Eduard Lill studied mathematics at the German Technical University in Prague in 1848/1849 . In 1850 he joined the army and served in the engineering troops . From 1852 to 1856 he studied at the army engineering school in Klosterbruck . After completing his studies, he served for another decade in the engineering troops and was stationed in Esseg , Kronstadt and Spalato . Lill ended his military career in 1868 with the rank of captain and took up a position as an engineer with the Austrian Northwest Railway . For the railroad he was initially in charge of track construction near Trautenau, but due to a serious accident he was soon limited to office work. From 1872 to 1875 he was secretary to the building director Hellwag, after which he worked as a technical assistant in the general management. In 1885 he became head of the statistical department and in 1894 he retired as chief inspector.

Today Lill is best known for his contributions to mathematics and transportation science. In 1867 he published an article in which he described a graphical method for determining the roots of polynomials. This is essentially a clever illustration or geometric interpretation of the Horn scheme and is now known as the Lills method . Also named after him is the Lill circle , which is obtained from a slight modification of the application of his method for determining zeros to normalized quadratic functions. In the Transportation Sciences carries Lillsche travel law his name, one of the first scientific attempts to model traffic was.

Works

  • Résolution graphique des équations numériques de tous les degrés à une seule inconnue, et description d'un instrument inventé dans ce but. In: Nouvelles Annales de mathématiques , Volume 6, 1867, pp. 359-362 ( online ).
  • Résolution graphique des equations algébriques qui ont des racines imaginaires. In: Nouvelles Annales de mathématiques , Volume 7, 1868, pp. 363-367 ( online ).
  • with Charles Hermite : Résolution graphique des équations numériques d'un degré quelconque à une inconnue. In: Comptes Rendus de l'Académie des Sciences , Volume 65, Paris 1867, pp. 854-857 ( online ).
  • The basic laws of passenger transport. In: Zeitschrift für Eisenbahnen und Dampfschiffahrt , 1889.
  • The travel law and its applications to rail transport . Spielhagen & Schurich, Vienna 1891 ( PDF; 4.5 MB ).

Individual evidence

  1. ↑ Lill, Eduard . In: Österreichisches Biographisches Lexikon 1815–1950 , Volume 5, pp. 214–215.
  2. ^ Dan Kalman: Uncommon Mathematical Excursions. Polynomia and Related Realms . Mathematical Association of America, Washington DC 2009, ISBN 978-0-88385-341-2 , pp. 13-22.
  3. ^ GA Miller: Geometric Solution of the Quadratic Equation . In: The Mathematical Gazette , Volume 12, Number 179, December 1925, pp. 500-501 ( JSTOR 3602823 ).
  4. ↑ Rainer Kaenders, Reinhard Schmidt (Ed.): Understanding more mathematics with GeoGebra . 2nd edition, Springer Spectrum, Wiesbaden 2014, ISBN 978-3-658-04222-6 , pp. 68-69 .
  5. ^ Hermann Knoflacher : Fundamentals of traffic and settlement planning: traffic planning. Böhlau Verlag, Vienna 2007, ISBN 978-3-205-77626-0 , pp. 20-21, 124, 240 ( excerpt (Google) ).
personal data
SURNAME Lill, Eduard
BRIEF DESCRIPTION Austrian engineer
DATE OF BIRTH October 20, 1830
PLACE OF BIRTH Brüx , Bohemia , Austrian Empire
DATE OF DEATH July 30, 1900
Place of death Gorizia , Austria-Hungary