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Mathematical Treasure: A. L. Crelle’s Lehrbuch der Elemente der Geometrie

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

A. L. Crelle (1780–1855) is best known today for his mathematics journal, but he was also a practicing mathematician and wrote several books. The following image is of the title page from his 1827 Elemente der Geometrie:

Title page of A. L. Crelle’s 1827 Lehrbuch der Elemente der Geometrie.

The table of contents shows the topics and order of Crelle’s approach to geometry.

First page of table of contents for Crelle's 1827 geometry textbook.

Page viii showing the second page of the table of contents for Crelle's geometry textbook.

Crelle mentioned several previous geometers, including Pythagoras, Legendre, and Cauchy. The figures appeared at the back of the volume.

Page 532 from Crelle's geometry textbook.

Plate 19 from Crelle's geometry textbook.

Universität Regensburg has fully digitized its copy of volume 2.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: A. L. Crelle’s Lehrbuch der Elemente der Geometrie," Convergence (September 2023)