Christian Heinrich von Nagel
Encyclopedia
Christian Heinrich von Nagel (28 February 1803, Stuttgart
Stuttgart
Stuttgart is the capital of the state of Baden-Württemberg in southern Germany. The sixth-largest city in Germany, Stuttgart has a population of 600,038 while the metropolitan area has a population of 5.3 million ....

, Germany
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...

 – 27 October 1882, Ulm
Ulm
Ulm is a city in the federal German state of Baden-Württemberg, situated on the River Danube. The city, whose population is estimated at 120,000 , forms an urban district of its own and is the administrative seat of the Alb-Donau district. Ulm, founded around 850, is rich in history and...

, Germany) was a German geometer.

After the visit of the gymnasium in 1817, Nagel went to Evangelical Seminaries of Maulbronn and Blaubeuren
Evangelical Seminaries of Maulbronn and Blaubeuren
The Protestant Seminaries of Maulbronn and Blaubeuren in Baden-Württemberg, Germany are two Gymnasiums and Protestant boarding schools in the Württemberg tradition....

. From 1821 to 1825, he took a four-year course of theology at the Tübinger Stift
Tübinger Stift
The Tübinger Stift is a hall of residence and teaching; it is owned and supported by the Evangelical-Lutheran Church in Württemberg, and located in the university city of Tübingen, in South West Germany. The Stift was originally founded as an Augustinian monastery in the Middle Ages...

. After his graduation, he early became interested in mathematics. He became mathematics and science teacher at the Lyceum and at the Secondary school in Tübingen
Tübingen
Tübingen is a traditional university town in central Baden-Württemberg, Germany. It is situated south of the state capital, Stuttgart, on a ridge between the Neckar and Ammer rivers.-Geography:...

. Already in 1826, he earned doctorate at the local Faculty of Philosophy on a theme De triangulis rectangulis ex algebraica aequatione construendis (About right triangles construable from an algebraic equation). Until 1830, he held post of a private lecturer in Tübingen. In that year, he moved to Ulm
Ulm
Ulm is a city in the federal German state of Baden-Württemberg, situated on the River Danube. The city, whose population is estimated at 120,000 , forms an urban district of its own and is the administrative seat of the Alb-Donau district. Ulm, founded around 850, is rich in history and...

 where he had a better-paid job as a teacher at the Gymnasium in Ulm. Later he was rector of the affiliated Realschule. He was nobled in 1875.

His best known results are from triangle
Triangle
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ....

 geometry. One of the notable triangle points, Nagel point
Nagel point
In geometry, the Nagel point is a point associated with any triangle. Given a triangle ABC, let TA, TB, and TC be the extouch points in which the A-excircle meets line BC, the B-excircle meets line CA, and C-excircle meets line AB, respectively...

, is named after him.

Works

  • De triangulis rectangulis ex algebraica aequatione construendis (About right triangles construable from an algebraic equation), 1826
  • Untersuchungen über die wichtigsten zum Dreiecke gehöhrigen Kreise. Eine Abhandlung aus dem Gebiete der reinen Geometrie (Studies on the most important circles of the triangles. A treatise from the field of pure geometry), Leipzig, 1836

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