Author(s):
Frank J. Swetz (The Pennsylvania State University)
“Dura cosa e la partita,” or “Division is a difficult thing,” was a common sentiment among mathematical practitioners of the Middle Ages, particularly if they were computing on an abacus. Even when Hindu-Arabic (Indo-Arabic) numerals and their computing algorithms were introduced, the operation was considered difficult. Here, a fifteenth century Italian student practices his division techniques. A modern viewer should carefully examine and try to understand the processes being demonstrated.
![](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/Yale_Beinecke/10634742.png)
![](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/Yale_Beinecke/10634743.png)
These images are obtained through the cooperation of the Beinecke Rare Book and Manuscript Library, Yale University.
Index to Mathematical Treasures
Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Fifteenth Century Division Practice," Convergence (August 2017)