When does a hyperbola meet its asymptote? Bounded infinities, fictions, and contradictions in Leibniz

Mikhail G. Katz, David Sherry, Monica Ugaglia

In his 1676 text De Quadratura Arithmetica, Leibniz distinguished infinita terminata from infinita interminata. The text also deals with the notion, originating with Desargues, of…