# Algebraic partitioning problems from Luca Pacioli’s Perugia manuscript (Vat. Lat. 3129)

@inproceedings{Heeffer2010AlgebraicPP, title={Algebraic partitioning problems from Luca Pacioli’s Perugia manuscript (Vat. Lat. 3129)}, author={Albrecht Heeffer}, year={2010} }

Given the importance attributed to Luca Pacioli’s Summa over several centuries, it can only come as a surprise that so little attention has been paid to his earlier book on arithmetic and algebra, the until recently unpublished manuscript Vat.Lat. 3129. The book bears no title although several have been attributed. van Egmond [45] names it Opera di mathematica, others have used the title Tractatus mathematicus ad discipulos perusinos [9] [8] [10], or Trattato d’arithmetica [26]. The first…

## Figures from this paper

## 8 Citations

A plurality of algebras, 1200–1600: Algebraic Europe from Fibonacci to Clavius1

- History
- 2017

In memory of Jackie Stedall, friend and colleague As Jackie Stedall argued in her 2011 book, From Cardano's great art to Lagrange's reflections: filling a gap in the history of algebra, there was a…

From the second unknown to the symbolic equation

- Mathematics
- 2010

The symbolic equation slowly emerged during the course of the sixteenth century as a new mathematical concept as well as a mathematical object on which new operations were made possible. Where…

The Life and Works of Luca Pacioli (1446/7–1517), Humanist Educator

- Art
- 2021

Accounting has few heroes, but one that most acknowledge as worthy of that accolade is Luca Pacioli, the man who published the first printed exposition of double entry bookkeeping in 1494. This was…

Masters, questions and challenges in the abacus schools

- History
- 2015

The mathematical scenario in Italy during the Late Middle Ages and the Renaissance is mainly dominated by the treatises on the abacus, which developed together with the abacus schools. In that…

Pacioli's Lens: God, Humanism, Euclid, and the Rhetoric of Double Entry

- Economics
- 2018

ABSTRACT: This paper investigates why, in 1494, the Franciscan friar and teacher of mathematics, Luca Pacioli, published an instructional treatise describing the system of double entry bookkeeping.…

Pacioli's double entry – part of an intellectual and social movement

- Economics
- 2016

ABSTRACT Our research contains unashamedly speculations about Pacioli, and his Renaissance heroes. It seeks to codify prior research which has speculated on many aspects of Fra Luca Pacioli's…

Epistemic Justification and Operational Symbolism

- Philosophy
- 2014

It is shown how justification schemes compensated for the lack of symbolism in abbaco treatises and at the same time facilitated a process of abstraction.

THE STORY OF CHF OR HOW TO LOSE YOUR SLEEP AND MONEY BY IGNORING THE FOREIGN CURRENCY RISK

- Economics
- 2015

This paper represents an empiric research how The Central Bank of Switzerland gave up on sustaining the minimum exchange rate for CHF, as a result of a dramatic movement in the history of the FX…

## References

SHOWING 1-10 OF 41 REFERENCES

The genesis of the algebra textbook: from Pacioli to Euler

- Mathematics
- 2007

Euler’s Vollstandige Anleitung zur Algebra (1770) is the prototype of a successful textbook on elementary algebra. The selection of problems by Euler displays a great familiarity with the typical…

Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation

- Art
- 2003

First published in 1202, Fibonacci's "Liber abaci" was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe.Its author,…

The Algebra of Mohammed ben Musa

- Chemistry
- 2002

Volume 1 1. The Algebra of Mohammed ben Musa, London, Oriental Translation Fund 19, 1831 Volume 2 2. Practical Philosophy of the Muhammadan People, from the Persian of Fakir Jany Muhammad Asaad:…

The appearance of negative solutions in mediaeval mathematics

- Mathematics
- 1985

Since the presence of subtracted terms is naturally connected with algebraic computations, th law of signs, not surprisingly, appeared at an early stage in the development of mathematics. The use of…

Erratum to: Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin

- Physics
- 2018

lengths widths surfaces a portrait of old babylonian lengths widths surfaces a portrait of old babylonian algebra and its kin sources and studies in the history of mathematics and physical sciences…

Antonio di Giovanni Mazzinghi ed il Petriboni, due abacisti del XV secolo

- History
- 2007

One part of this work reports some notices about the descendants of Antonio di Giusto Mazzinghi, a florentine algebrist and abacus teacher of the fourteenth century. A nephew of this abacist, was…

Text production reproduction and appropriation within the abbaco tradition: a case study

- Linguistics
- 2008

This paper presents a chapter on algebra from an abbaco treatise on arithmetic, providing a critical edition in line with the Latin scholarly tradition and an English translation.

Abduction as a strategy for concept formation in mathematics: Cardano postulating a negative

- Philosophy
- 2007

When dealing with abductive reasoning in scientific discovery, historical case studies are focused mostly on the physical sciences, as with the discoveries of Kepler, Galilei and Newton. We will…

A Conceptual Analysis of Early Arabic Algebra

- MathematicsThe Unity of Science in the Arabic Tradition
- 2008

It is argued that the concept of a symbolic equation as it emerges in algebra textbooks around 1550 is fundamentally different from the ‘equation’ as known in Arabic algebra.