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Mathematical Treasure: Bartholomaeus Keckermann's Systema compendiosum totius mathematices

Author(s): 
Frank J. Swetz (The Pennsylvania State University)

Bartholomaeus Keckermann (ca 1572–1609) was a German writer, Calvinist theologian, and philosopher. In 1617, he published A complete system of mathematics and geometry. This work was republished in 1621 (shown here) and 1661.

Title page from 1621 printing of Bartholomaeus Keckermann's Systema compendiosum totius mathematices.

The text contained a systematic outline of mathematics:

 Page 52 of 1621 printing of Bartholomaeus Keckermann's Systema compendiosum totius mathematices.

A formal discussion of geometry begins on page 53.

 Page 53 from 1621 printing of Bartholomaeus Keckermann's Systema compendiosum totius mathematices.

Angle measurement is explained on page 100.

 Page 100 from 1621 printing of Bartholomaeus Keckermann's Systema compendiosum totius mathematices.

These images are presented courtesy of the John Carter Brown Library, Brown University. The full volume may be read here.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Bartholomaeus Keckermann's Systema compendiosum totius mathematices," Convergence (September 2020)