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Mathematical Treasure: Ismael Boulliau on Geometry and Astronomy

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

Ismaël Boulliau (1605–1694) was a 17th-century French Catholic priest who worked as a librarian for most of his career. He was a strong advocate for Copernicus’s and Kepler's theories, and he was a correspondent with Isaac Newton. He had made astronomical observations with his father; as an adult he theorized on the inverse square law for gravitational attraction, which would eventually be formalized by Newton.

Boulliau’s works on mathematics included Exercitationes geometricæ tres (Three Geometrical Exercises), published in 1647, which concerned inscribed and circumscribed figures, conic sections, and porisms.

Title page of Ismael Boulliau's 1647 Exercitationes geometricæ tres.

Pages 23-24 from Ismael Boulliau's 1647 Exercitationes geometricæ tres.

A full digitization of the copy owned by the National Library of Naples is available from GoogleBooks.

In 1657 he published a book on the geometry of spirals, De lineis spiralibus: Demonstrationes novae.

Title page from Ismael Boulliau's 1657 De lineis spiralibus.

Page 1 from Ismael Boulliau's 1657 De lineis spiralibus.

Page 2 from Ismael Boulliau's 1657 De lineis spiralibus.

Page 20 from Ismael Boulliau's 1657 De lineis spiralibus.

A full digitization of the copy owned by the public library in Lyon is available from GoogleBooks.

Boulliau published Opus novum ad arithmeticam infinitorum in 1682. This was an information-dense text.

Title page of Ismael Boulliau's 1682 Opus novum ad arithmeticam infinitorum.

Page 1 from Ismael Boulliau's 1682 Opus novum ad arithmeticam infinitorum.

Page 49 from Ismael Boulliau's 1682 Opus novum ad arithmeticam infinitorum.

Page 152 from Ismael Boulliau's 1682 Opus novum ad arithmeticam infinitorum.

A full digitization of the copy owned by the Bavarian State Library is available from GoogleBooks.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Ismael Boulliau on Geometry and Astronomy," Convergence (January 2024)