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Mathematical Treasure: Johann Placentinus’s Geotomia

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

Johann Placentinus was a professor of mathematics and astronomy in Brandenburg and Frankfurt in the 17th century. In his 1657 Geotomia of approximately 75 unnumbered pages, he used logarithms and trigonometry to explore geometrical problems on globes, such as measuring distances between latitudes or longitudes. He apparently remained attuned to the religious and political conflicts that comprised the Thirty Years’ War, which had devastated central Europe until 1648, for he quoted Philip Melanchthon (1497–1560), the Lutheran reformer, and he dedicated the volume to Elizabeth Stuart (1596–1662), the wife of Bohemian Elector Frederick V—who was defeated by Catholic forces in the 1620s—and the daughter of England’s James I. Two pages written in German instead of in Latin indicate Placentinus was also close to his colleague, the German hymnwriter Heinrich Held (1620–1659).

Title page of Johann Placentinus's 1657 Geotomia.

First page of Johann Placentinus's 1657 Geotomia.

Second page of Johann Placentinus's 1657 Geotomia.

First case of Problem 5 from Johann Placentinus's 1657 Geotomia.

Third from the last page of Johann Placentinus's 1657 Geotomia.

A full digitization of the copy owned by the University of Michigan is available from GoogleBooks.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Johann Placentinus’s Geotomia," Convergence (January 2024)