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Luca Pacioli

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Fra' Luca Pacioli, a famous mathematician, is shown in this historical painting working with geometric shapes and mathematical tools.

Luca Bartolomeo de Pacioli was an Italian mathematician and Franciscan friar who lived from about 1447 until 1517. He is best known for his work in accounting and is often called the father of accounting and bookkeeping. Pacioli was also a collaborator with the famous artist Leonardo da Vinci.

One of Pacioli's most important contributions was publishing the first book about the double-entry system of bookkeeping in Europe. This system helped people keep track of money and business transactions more accurately. Because of this, Pacioli is remembered as a key figure in the development of modern accounting.

Pacioli was born in a place called Borgo Sansepolcro in Tuscany, and he was sometimes known as Luca di Borgo because of this. His work has had a lasting impact, making it easier for businesses to manage their finances and records.

Life

Luca Pacioli was born between 1446 and 1448 in the Tuscan town of Sansepolcro. He learned skills useful for merchants, which were taught in the local language rather than Latin. His father was Bartolomeo Pacioli, but Luca grew up with the Befolci family in Sansepolcro. Around 1464, he moved to Venice, where he continued studying and worked as a tutor for three boys, even writing his first book on arithmetic for them.

A woodcut of Pacioli which appears throughout the Summa de arithmetica

Between 1472 and 1475, Luca became a Franciscan friar and began teaching in Perugia. He wrote a detailed textbook for his students and later taught mathematics privately. In 1494, his important book, Summa de arithmetica, geometria, Proportioni et proportionalita, was published in Venice. In 1497, he moved to Milan to work for Duke Ludovico Sforza, where he met and taught Leonardo da Vinci. They had to leave Milan in 1499 when Louis XII took over the city. Luca Pacioli passed away around the age of 70 on 19 June 1517, probably in Sansepolcro.

Mathematics

Further information: Mathematics and art

The first printed illustration of a rhombicuboctahedron, by Leonardo da Vinci, published in Divina proportione

Luca Pacioli wrote many books about mathematics. One of his important books, called Summa de arithmetica, geometria. Proportioni et proportionalita, was published in Venice in 1494. This book shared many ideas about math from that time and was written in the everyday language people spoke. It also described a special way merchants kept track of their money, called the double-entry accounting system. Pacioli explained how to record purchases and sales and made sure everything added up correctly. He also talked about fair ways to handle money and shared a clever math trick called the Rule of 72.

Another book, De viribus quantitatis, written between 1496 and 1508, mixed math with fun tricks. It had puzzles, magic tricks, and even the first written clues about how to do card tricks. This book was not published during Pacioli’s life and was only found much later. He also wrote about geometry and the special numbers that make beautiful shapes in architecture, working with famous artist Leonardo da Vinci, who drew pictures for his book.

Impact on accounting and business

Luca Pacioli changed accounting by describing a method called double-entry, used in some parts of Italy. This made it easier for businesses to manage their work, helping them become more efficient and successful. His book on accounting was used around the world as a textbook for many years. The basics of this method have stayed the same for over 500 years.

The ICAEW Library at Chartered Accountants' Hall has all of Pacioli's published works. You can see parts of two of his books, 'Summa de arithmetica' and 'Divina proportione', online using an interactive tool called Turning the Pages made by the British Library.

Chess

Around the year 1500, Luca Pacioli wrote a book about chess called De ludo scachorum (On the Game of Chess), but it wasn’t published at the time. For many years, people thought this book was lost. In 2006, a copy of the book was found in a big library in Gorizia that belongs to Count Guglielmo Coronini-Cronberg. In 2008, a copy of the book was printed again in Pacioli’s hometown, Sansepolcro. Because Pacioli worked closely with Leonardo da Vinci, some people think Leonardo might have drawn the chess problems or designed the chess pieces in the book.

Images

A 1509 illustration showing how artists measure the human head using shapes and lines, from a famous math book.
An abstract art piece inspired by the Fibonacci word fractal, showing a detailed pattern of shapes and lines.

Related articles

This article is a child-friendly adaptation of the Wikipedia article on Luca Pacioli, available under CC BY-SA 4.0.

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