Der barycentrische Calkul

work by Möbius

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June 22, 2026

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August Ferdinand Möbius, a German mathematician, introduced his work Der barycentrische Calkul (The Calculus of Centres of Gravity) in 1827. This significant publication advanced analytic geometry by introducing homogeneous coordinates, which extend the concept of coordinates to include points at infinity. Möbius also explored geometric transformations, particularly projective transformations, which became foundational for the development of projective geometry. His work laid groundwork for later mathematical advancements, though it is distinct from the development of the calculus by Leibniz and Newton in the 17th century. Möbius is also recognized for his pioneering contributions to topology, including the discovery of the Möbius strip.123

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August Ferdinand Möbius
…methods laid down in his Der barycentrische Calkul (1827; “The Calculus of Centres of Gravity”). In this work he introduced homogeneous coordinates (essentially, the extension of coordinates to include a “point at infinity”) into analytic geometry and also dealt with geometric transformations, in particular projective transformations that later played an…
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…methods laid down in his Der barycentrische Calkul (1827; “The Calculus of Centres of Gravity”). In this work he introduced homogeneous coordinates (essentially, the extension of coordinates to include a “point at infinity”) into analytic geometry and also dealt with geometric transformations, in particular projective transformations that later played an…
Read More