Author(s):
Frank J. Swetz (The Pennsylvania State University)
Adriaan Adriaanszoon (1571-1635), more commonly known as Adrian Metius, was a Dutch geometer, astronomer, surveyor, and instrument maker. He is perhaps best known for his published estimate for the mathematical constant \(\pi\approx{\frac{355}{113}},\) which was actually discovered by his father. His Arithmetica et Geometriae (1626) reflects his applied approach to mathematics. The personages depicted on the title page also reflect his mathematical experiences: war and warfare occupy the highest position; an astronomer/philosopher stands on the left; while a tentative surveyor enters the scene at the right.
![Title page of Adrian Metius's 1626 algebra and geometry textbook.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/U-Penn-Libs/ELZ_Q_3061_titlepage.png)
An illustration on page 11 shows that an infinite number of right angles can be inscribed within a semicircle.
![Page 11 from Adrian Metius's 1626 textbook.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/U-Penn-Libs/ELZ_Q_3061_body0011.png)
On page 35 begins a section on practical geometry. It appears this was published as a separate tract in 1625 and added to the new work.
![Page 35 of Adrian Metius's 1626 geometry and algebra textbook.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/U-Penn-Libs/ELZ_Q_3061_body0035.png)
The images above are presented courtesy of the University of Pennsylvania Libraries.
Index to Mathematical Treasures
Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Arithmetic and Geometry of Metius," Convergence (August 2016)