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Topic: Karl Wilhelm Feuerbach

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  What became of Karl Feuerbach
Karl, the third son in a family of eleven children, was born in Jena on May 30, 1800.
Karl studied at both the University of Erlangen and the University of Freiburg, and in 1822 published his little book containing the beautiful theorem.
Karl was appointed professor of mathematics at the Gymnasium at Hof, but before long he suffered a breakdown and was forced to give up his teaching.
library.thinkquest.org /22494/stories/Feuerbach.htm   (490 words)

 Feuerbach's Theorem: What Is It About?
This is a famous result discovered by Karl Wilhelm Feuerbach (1800-1834): the 9-point circle of a triangle touches its incircle and the three excircles.
Feuerbach proved the theorem by computing algebraically the distances between the centers of the circles.
The points of tangency in Feuerbach's theorem are involved in two cases of incidence.
www.cut-the-knot.org /Curriculum/Geometry/Feuerbach.shtml   (166 words)

Feuerbach was a geometer who discovered the nine point circle of a triangle.
Feuerbach also proved that the nine point circle touches the inscribed and three escribed circles of the triangle.
These results appear in his 1822 paper, and it is on the strength of this one paper that Feuerbach's fame is based.
members.tripod.com /sfabel/mathematik/database/Feuerbach.html   (318 words)

 Ludwig Andreas Feuerbach (Stanford Encyclopedia of Philosophy)
Feuerbach sent a copy of the dissertation to Hegel hoping for his approval but inadvisably added a letter in which he offered the very unHegelian opinion that the attempt to comprehend Christianity as the consummate religion, as Hegel had done, was bound to fail.
Feuerbach argues that Hegel's speculative metaphysics of "pure spirit" really must be understood as the culmination of movement that originated in the speculative theology of the Middle Ages when the naïve notion of a personal deity was conceptualized as an infinite, omniscient, omni-benevolent, necessary being.
Feuerbach had concluded from this that one of the most important philosophical and cultural tasks of his generation was to revise the way human beings thinking about the relationship of mind to nature because it was the notion of "spirit" that was crucial to both idealism and Christianity.
plato.stanford.edu /entries/ludwig-feuerbach   (13279 words)

 KARL WILHELM FEUERBACH   (Site not responding. Last check: 2007-11-03)
One of the most striking theorems in triangle geometry is Feuerbach's theorem, that the nine-point circle is tangent to the incircle and all three excircles.
Feuerbach was born to a distinguished German family, sufficiently many of whom exhibited both genius and mental illness for there to be a book on this subject (below).
Feuerbach held mathematics positions at the Gymnasiums in Erlangen, and after a period of imprisonment, in Hof, and in 1828, after a relapse of his illness, again in Erlangen.
faculty.evansville.edu /ck6/bstud/feuerba.html   (279 words)

 RITTER VON PAUL JOHANN... - Online Information article about RITTER VON PAUL JOHANN...
Feuerbach, as the founder of a new theory of penal law, the so-called " psychological-coercive or intimidation theory," occupied a prominent See also:
The influence of this code, the embodiment of Feuerbach's enlightened views, was immense.
Feuerbach had also undertaken to prepare a civil code for Bavaria, to be founded on the Code See also:
encyclopedia.jrank.org /FAT_FLA/FEUERBACH_PAUL_JOHANN_ANSELM_RI.html   (1421 words)

 Karl Wilhelm Feuerbach Summary
A brilliant student with great potential, Feuerbach was ill for much of his life and practiced mathematics for only six years.
Karl Wilhelm Feuerbach at the MacTutor History of Mathematics archive.
Karl Wilhelm Feuerbach from Science and Its Times.
www.bookrags.com /Karl_Wilhelm_Feuerbach   (193 words)

 Feuerbach biography
Karl Feuerbach's father Paul J A Ritter von Feuerbach who was a professor of law and wrote the Bavarian criminal code.
Of his 8 children 5 sons were to be awarded a doctorate, 3 of them becoming a professor, the most famous being the philosopher (without ever being professor) Ludwig A Feuerbach (1804-72) who was one of the very influential critics of religion and thus of great importance for Marx and marxism.
He must therefore be considered as the joint inventor of homogeneous coordinates since Möbius, in his work Der barycentrische Calcul also published in 1827, introduced homogeneous coordinates into analytic geometry.
www-groups.dcs.st-and.ac.uk /~history/Biographies/Feuerbach.html   (401 words)

 New Page 3   (Site not responding. Last check: 2007-11-03)
Unlike many other mathematicians, Feuerbach's career in math was quite short-lived, 6 years.
His main area of study was geometry, and what he was most known for was his work with the nine point circle.
Not to say that Feuerbach was the first and last to do work on the nine point circle, there were also others who shared his interests: Brianchon and Poncelet also published a proof of this theorem a year before Feuerbach did.
www.math.ubc.ca /people/faculty/cass/courses/m309-01a/shah/history.htm   (234 words)

 MathLinks Math Forums :: View topic - Circles [proof of Feuerbach's theorem]
The nine-point circle (also called Euler circle or Feuerbach circle) of any triangle is tangent to the incircle and to the three excircles of the triangle.
In my note "Generalization of the Feuerbach point" on my triangle geometry website, I give two non-inversive proofs of the fact that the nine-point circle touches the incircle (the proof for the excircles is analogous), but these proofs are very long.
The two tangents from the point X' to the incircle of triangle ABC touch this incircle at the points X and Q. Thus, these points X and Q are symmetric to each other with respect to the line X'O (since O is the center of the incircle of triangle ABC).
www.mathlinks.ro /Forum/viewtopic.php?t=14927   (1809 words)

 Karl Wilhelm Feuerbach   (Site not responding. Last check: 2007-11-03)
Feuerbach est le géomètre qui a découvert le cercle des neufs points d'un triangle.
Feuerbach prouva également que ce cercle est tangent au cercle inscrit et aux trois cercles exinscrits.
Feuerbach a publié une autre travail en 1827.
xavier.hubaut.info /coursmath/bio/feuerbac.htm   (233 words)

 Clinton Goveas :: Wikipedia Reference
The infrared radiation is discovered by Wilhelm Herschel.
March 25 - Ernst Heinrich Karl von Dechen, German geologist and mineralogist (died 1889)
December 7 - Wilhelm von Knyphausen, Hessian Lieutenant-General (born 1716)
www.clintongoveas.com /wikipedia/?title=1800   (2003 words)

 ✓ Karl_Wilhelm_Feuerbach - Versorgungszentrum-Chemnitz.de - Versorgungszentrumchemnitz
Karl Wilhelm Feuerbach wurde als Sohn von Paul Johann Anselm Ritter von Feuerbach geboren, und war Professor der Mathematik am Gymnasium in Erlangen.
en:Karl Wilhelm Feuerbach it:Karl Feuerbach pl:Karl Wilhelm Feuerbach
Kulturkaufhaus „DAStietz“, ein ehemaliges Kaufhaus (Wilhelm Kreis, 1913), welches heute die Stadtbibliothek, die Volkshochschule, das Naturkundemuseum, die Neue Sächsische Galerie u.a.
versorgungszentrum-chemnitz.de /index.php/Karl_Wilhelm_Feuerbach   (2402 words)

 Amazon.com: "Karl Friedrich": Key Phrase page   (Site not responding. Last check: 2007-11-03)
Friedrich Wilhelm, Johann Friedrich, Great Britain, New Orleans, Johann Heinrich, Middle Ages, French Revolution, Giovanni Battista, Queen Victoria, West Indies, Sir William, Buenos Aires, Johann Georg, William Henry, Marie Antoinette, Frederick the Great, Don Giovanni, Johann Baptist, Johann Michael, Covent Garden, The Hague, Pope Clement, Queen Elizabeth, Sir John, Jean Baptiste
Margrave (later Grand Duke) Karl Friedrich devoted much energy during the early years of his long reign to implementing the most up-to-date analysis of agricultural economics.'...
Contemporaries such as Edelsheim, the reputed minister of Karl Friedrich of Baden,...
www.amazon.com /phrase/Karl-Friedrich   (574 words)

 Table of contents for Library of Congress control number 95077405
The nine-point circle, inversion, Feuerbach's theorem, extension of Ptolemy's theorem, Fermat's problem, the centres of similitude of two circles, coaxal systems of circles, canonical form for coaxal system, further properties, problem of Apollonius, compass geometry 2.
Representation of a circle, Euclidean three-space, first properties of the representation, coaxal systems, deductions from the representation 0, conjugacy relations, circles cutting at a given angle, representation of inversion, the envelope of a system, some further applications, some anallagmatic curves 3.
Complex numbers, the Argand diagram, modulus and argument, circles as level curves, the cross-ratio of four complex numbers, Moebius transformations of the s-plane, a Moebius transformation dissected, the group property, special transformations, the fundamental theorem, the Poincare model, the parallel axiom, non-Euclidean distance 4.
www.loc.gov /catdir/toc/cam027/95077405.html   (210 words)

 Historia Matematica Mailing List Archive: [HM] Heron formula an
It is often credited to Karl Wilhelm Feuerbach...
Eves gave the Feuerbach theorem as an exercise in his
Referring to the Feuerbach theorem, Merzbach, in her revision
sunsite.utk.edu /math_archives/.http/hypermail/historia/feb00/0124.html   (522 words)

 Amazon.com: "Karl Daub": Key Phrase page   (Site not responding. Last check: 2007-11-03)
Among the most prominent members of this faction were Karl Friedrich Gschel (1784-1861), Karl Daub (1765-1836), Philipp Marheineke (1780-1846), and Karl Ludwig Michelet (1801-93).
Instead of him we might have chosen his older friend, Karl Daub of Heidelberg.
Karl Rosenkranz: Briefe 1827 Bis 1850 (Quellen Und Studien Zur Philosophie, Band 37) by Heraugegeben Von Joachim Butzlaff
www.amazon.com /phrase/Karl-Daub   (491 words)

 History of the Nine Point Circle
First enunciation of Feuerbach's Theorem, including the first published proof, appears in Karl Wilhelm Feuerbach's Eigenschaften einiger merkwiirdigen Punkte des geradlinigen Dreiecks, along with many other interesting proofs relating to the nine point circle.
In an article, Symmetrical Properties of Plane Triangles, published in the Philosophical Magazine (1827), II, pages 29-31, T. Davies proves the characteristic property of the nine point circle and remarks that the centroid is situated on the line which contains the orthocenter, the nine-point center, and the circumcenter.
MacKay mentions and gives reference to numerous demonstrations of Feuerbach's theorem in his extensive article pertaining to the history of the nine point circle.
jwilson.coe.uga.edu /EMT668/EMT668.Folders.F97/Anderson/geometry/geometry1project/historyofninepointcircle/history.html   (683 words)

 Karlsruhe - Provided by Nottingham City Council
Legend has it that when Margrave Karl Wilhelm lay under a tree during a hunting trip, it was a dream that inspired him to build a palace.
Many of his buildings remain as highlights of classicism in Karlsruhe today, including the sandstone pyramid, built in 1823, which houses the remains of Karl Wilhelm and has become a symbol for the city.
Large scale gardens, parks and forests attract visitors and locals alike.
www.nottinghamcity.gov.uk /sitemap/karlsruhe   (409 words)

 8th Grade
· Charles-Julien Brianchion (1783-1864) *MT · Friedrich Wilhelm Bessel (1784-1846) *MT · Pierre-Charles-François Dupin (1784-1873) *SB *MT Claude-Louis-Marie-Henri Navier (1785-1836) *SB *MT · Petr Scheutz (1785-1873)
· Karl Wilhelm Feuerbach (1800-1834) *SB *MT · Gaspare Mainardi (1800-1879)
· Karl Weierstrass (1815-1897) *MT · Charles-Eugene Delaunnay (1816-1872) *SB *MT · Johann Georg Rosenhain (1816-1887) *SB · Johann Rudolf Wolf (1816-1893) *MT · Jean-Fréderic Frénet (1816-1900) *SB *MT · Thomas Weddle (1817-1853)
mslombardo.freehosting.net /catalog.html   (4626 words)

 Math words page 18
The center of the Nine Point Circle is the midpoint of the segment from the Orthocenter to the Circumcenter.
The circle is also called Feuerbach's Circle after Karl Wilhelm Feuerbach who showed in an 1822 paper that the circle "touches all four of the circles which are tangent to the three sides of the triangle, and specifically, it touches the inscribed circle internally and the escribed circles externally."
We now know the circle contains even more than these nine points, but also contains the midpoint of the two Fermat Points, and the center of the
www.pballew.net /arithm18.html   (4373 words)

 [No title]
Whittaker Stephen Schanuel Józef H. Przytycki Igor Ansoff Melanie Wood Luigi Cremona Sarvadaman Chowla Karl Mollweide Richard Hunt (mathematician) Zoltán Tibor Balogh Pafnuty Chebyshev Kenneth Alan Ribet Felix Bernstein George Lusztig Otton M. Nikodym Adriaan van Roomen Roland Fraïssé Victor Kolyvagin Nikolai Ivanovich Lobachevsky G.
Kaprekar Achyuta Panikkar Johann Kies Hanna Neumann Emanuel Parzen Mary Ellen Rudin Wilhelm Magnus Vladimir Damgov Nicholas Mercator Wilhelm Süss John Cocke Virahanka Vasile M. Popov Delfino Codazzi Jean-Baptiste Biot Alessandro Padoa Frank Spitzer J.
Wright Egbert van Kampen Ibn Sahl Kurt Gödel Karl Georg Christian von Staudt Jean-Étienne Montucla Cato Maximilian Guldberg Carl Charlier Steven Brams Charles Corfield Harry Pitt Alfréd Haar J.
www.math.ucla.edu /~aoleg/wp/mathlists/output.txt   (2246 words)

 NINE-POINT-CIRCLE   (Site not responding. Last check: 2007-11-03)
The NINE-POINT-CIRCLE of a triangle ABC (discovered by FEUERBACH) contains the:
One can find a nice elementary proof of the NINE-POINT-CIRCLE in "Excursions in Geometry" by C. OGILVY, Oxford University Press, NY.
Karl Wilhelm FEUERBACH (1800 - 1834) was a teacher of maths at the high school at Erlangen.
www-m10.ma.tum.de /~vogel/Cinderella/Klagenfurt/NPC.html   (167 words)

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