✍ Scribed by Ülo Lumiste
No coin nor oath required. For personal study only.
Martin Bartels, known as a tutor of young Carl Friedrich Gauss in Braunschweig and educator of Nicolai J. Lobachevsky at Kazan University, has remained almost unknown as a researcher. He published his works only after moving from Kazan to Dorpat (now Tartu, Estonia) in 1821. He did not publish all of his researches, but treated some in his university lectures. These ideas then made their way into the printed prize works or dissertations of his students. The most notable of Bartels's contributions was the introduction of moving systems of axes in the theory of spatial curves and the deduction of the corresponding derivation formulas (published in a prize work by Carl Eduard Senff in 1831), equivalent to the later Frenet-Serret formulas. Martin Bartels laid the foundation of the Dorpat (Tartu) center of differential geometry. Later, during the days of Senff and Minding, Karl Peterson wrote his dissertation on this topic. An analysis of the scanty sources enables us to trace Bartels's ideas to their genesis.
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