Tobias Mayer (1723-1762) was a self-educated German mathematician and astronomer. Working as a cartographer in 1750, he compiled and published the most accurate map of the moon then available. In 1751, he became a professor of mathematics at Göttingen University from which he carried on an active correspondence with Leonhard Euler.

In collaboration with colleagues Johann Baumgarten and Johann Pinitz in 1745, Mayer published *Mathematischer Atlas. *The book has no title page but begins with a frontispiece (above) showing a busy scene in which a muse of mathematics is besieged by clients seeking help with applications of mathematics.

Mayer’s Preface and Table of Contents, above, supply the purpose and scope of the *Atlas.* Note the wide variety of mathematical applications at this time, including artillery, fortification, banking, optics, and mechanics.

This *Atlas* contains 63 colored engravings. The first plate (above) contains ten figures for tables of various mathematical operations: addition, subtraction, multiplication/division, numbers raised to various powers, aliquot parts, etc.

Plate VII, above, illustrates the rectification of selected polygonal areas as well as the rectification of two circles (Figures 8 and 9 in the image above).

*These images are supplied through the courtesy of the Linda Hall Library of Science, Engineering & Technology. A complete viewing of these works can be found in the library’s digital collection.*

Index to Mathematical Treasures