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Mathematical Treasure: Thomas Simpson’s Trigonometry, Plane and Spherical

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

Thomas Simpson (1710–1761) was a self-taught mathematics teacher who is remembered today for his textbooks and for his work on integration and on probability theory. His volume on trigonometry was published in 1748 and went through many editions over the next several decades.

Title page of Thomas Simpson's 1748 Trigonometry.

The first page of the text:

Page 1 from Thomas Simpson's 1748 Trigonometry.

Simpson provided tables enumerating the cases of right-angled and oblique triangles.

Page 8 from Thomas Simpson's 1748 Trigonometry.

Page 9 from Thomas Simpson's 1748 Trigonometry.

A full digitization of the copy owned by Ghent University is available in GoogleBooks.

The first American edition of Simpson’s Trigonometry, Plane and Spherical, was published in United States in 1810. The American editor noted that he made a number of revisions.

Title page of 1810 printing of Thomas Simpson's Trigonometry.

Preface for 1810 American printing of Thomas Simpson's Trigonometry.

A full digitization of the copy credited to the University of Michigan may be viewed in HathiTrust.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Thomas Simpson’s Trigonometry, Plane and Spherical," Convergence (April 2024)