Ernst Wilhelm Grebe

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Ernst Wilhelm Grebe (born August 30, 1804 in Michelbach , † January 14, 1874 in Kassel ) was a German mathematician. He was a high school teacher in Kassel.

Grebe studied classical philology and mathematics in Bonn and Leipzig from 1821 and theology in Marburg from 1824, where he received his doctorate in 1829 with a geometric thesis (De linea helice ejusque projectionibus orthographicis commentatio). Then he was briefly a private lecturer in Marburg. In 1831 he became a grammar school teacher for mathematics and physics in Rinteln (with a permanent position a year later), in 1833 in Marburg and in 1835 in Kassel, where he was entrusted with the management of the grammar school in 1852/53 . In 1853 he was a grammar school teacher in Marburg and in 1855 he became rector of the Realschule (from 1869, higher middle school) in Kassel.

He published a lot about elementary geometry in the archive of mathematics and physics (Grunert's archive). The Grebe point in triangular geometry was named after him, apparently first by E. Hain in 1875. The name was mainly limited to Germany, otherwise it is named after Émile Lemoine (1874) (Lemoine point). According to Krafft (NDB), Grebe was possibly influenced in this work by his teacher in Marburg Christian Ludwig Gerling (1788–1864), a student of Carl Friedrich Gauß . The point was also known to Simon L'Huilier in 1809 and was later also called the Symmedian point.

As a mathematics pedagogue, he dealt among other things with a memorandum with the grievances in mathematics lessons in Kurhessen. In a letter from Gerling to Gauss from 1831, Grebe's later unrealized plan to publish in German the writings of Leonhard Euler that appeared in the treatises of the Academy in Saint Petersburg is mentioned .

He was an honorary citizen of Marburg.

Web links

Individual evidence

  1. Professor Catalog Marburg ( Memento of the original from January 11, 2015 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.  @1@ 2Template: Webachiv / IABot / www.uni-marburg.de
  2. Online
  3. Grebe The rectilinear triangle in relation to the squares of the perpendicular, which can be felled on its sides from a point on its plane, considered , Archiv der Math. Und Physik, Volume 8, 1847
  4. Hain About the Grebe'schen Punkt , archive f. Math. Phys., Vol. 58, 1876, pp. 84-89
  5. Gauß was also interested in these questions, see Correspondence with Gerling, p. 340. The letter is from November 1830, after Gerling sent Gauß the dissertation of Grebe. In a previous letter, Gerling refers to the sentences of an architect and drawing teacher Lang in Hamburg. However, Gauss himself did not publish anything on this subject - he published messages from Gauß to Schumacher in the appendix to the translation of Lazare Carnot Geometrie de position , Volume 2, 1810
  6. ^ History in John Mackay Early history of the symmedian point , Proc. Edinburgh Math. Soc., Volume 11, 1892/83, p. 92.See also Ross Honsberger The Symmedian Point in Episodes in 19. and 20. Century euclidean geometry , MAA 1995
  7. ^ Grebe on the limitation of mathematical lessons to the Hessian high schools, a memorandum , 1845