Karl Wilhelm Pohlke


Karl Wilhelm Pohlke was a German painter who established an important geometric statement, which is fundamental for axonometric projections. The statement is called Pohlke's theorem.

Life

Karl Wilhelm Pohlke was taught painting by Wilhelm Hensel at the Königlich Preussischen Akademie der Künste in Berlin and participated in his first exhibition there in 1832. After finishing his studies he earned his living for some years painting landscapes and teaching perspective drawing privately.
In 1835 Pohlke went to France and improved his abilities at the École des Beaux-Arts with Louis Étienne Watelet and Léon Cogniet. In 1843 he went to Italy. After 10 years he returned in 1845 to Berlin, where he got 1849 at the Königlichen Bauakademie an appointment as lecturer and in 1860 was promoted to Professor for Descriptive Geometry and Perspective.
Between 1860 and 1876 he published a textbook on descriptive geometry, consisting of two volumes, where he introduced his statement, later called "Pohlke's theorem" on axonometric projections: "Any three line segments in a plane but not on a line can be considered as the parallel projection of three edges of a cube." This theorem is the mathematical justification of a commonly used drawing method and is a remarkable contribution of an artist to mathematics.

Selected works

Book