Mathematical Treasure: Stefano degli Angeli’s De superficie vngulae and Problemata geometrica sexaginta

Stephano degli Angelis (1623–1697) was an Italian mathematician, philosopher and Catholic priest. A student of Cavalieri, he promoted the concept of indivisibles. In 1661, he published De Superficie Ungulae, which consisted of two geometrical treatises, one on the measurement of angles in geometrical solids and one on the quadrature of ellipses, parabolas, and hyperbolas. He thus contributed to the analysis of the properties of conic sections.

Several plates of illustrations are included for reference.

A sample page of the text:

In 1658, degli Angelis published a collection of problems in geometry with the title Problemata geometrica sexaginta.

Examples of the content in the examination of geometry problems:

A full digitization of De superficie vngulae is available from Museo Galileo. A full digitization of Problemata geometrica sexaginta is available at the Biblioteca Europea di Informazione e Cultura (BEIC).

Index to Mathematical Treasures