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Mathematical Treasure: Hugolinus Kneiff’s Mathematisches Übungsbuch

This mathematical exercise book was created by Franciscan monk Hugolinus Kneiff (d. 1645) in Würzberg, Germany, in 1614—the title page is marked incorrectly. Much of the manuscript deals with calendrical computation.

Title page of Hugolinus Kneiff’s Mathematisches Übungsbuch.

Kneiff also discussed basic operations:

Folios 12-13 from Hugolinus Kneiff’s Mathematisches Übungsbuch.

Folios 28-29 from Hugolinus Kneiff’s Mathematisches Übungsbuch.

Pythagorean Tables provide basic multiplication facts, usually up to 10 X 10, but here the author goes much further. Is he correct in this work?

Folios 20-21 from Hugolinus Kneiff’s Mathematisches Übungsbuch (1614).

Some printed add-on tables were included in the text. Here are a few images of these tables:

Calendrical table inserted into Hugolinus Kneiff’s Mathematisches Übungsbuch (1614).

Calendrical table inserted into Hugolinus Kneiff’s Mathematisches Übungsbuch (1614).

Table for making calendars inserted into Hugolinus Kneiff’s Mathematisches Übungsbuch (1614).

Calendrical table inserted into Hugolinus Kneiff’s Mathematisches Übungsbuch (1614).

The images above are provided courtesy of Bamberg State Library. A full digitization of this manuscript is available here.

Index to Mathematical Treasures

"Mathematical Treasure: Hugolinus Kneiff’s Mathematisches Übungsbuch," Convergence (April 2022)