Stereometria Doliorum Vinariorum

Stereometria Doliorum Vinariorum, published in 1615, is a work by Johannes Kepler. It translates to "The Stereometry of Wine Barrels" and was the first book published in Linz.1

Kepler wrote this treatise to address the imprecise methods used by wine merchants to estimate barrel contents. He also sought to move beyond strict adherence to Archimedean methods. Kepler extended the range of solids that could be generated by rotating conic sections around axes in their plane, not just the principal axis.1

This work is an example of Kepler applying mathematical principles to practical problems, a theme present throughout his career. It also demonstrates his interest in geometrical calculus and the determination of volumes, which influenced later mathematicians like Bonaventura Cavalieri.21