Luca Pacioli - mathematician and geometrist

Friar who became known as ‘Father of Accounting’

Jacopo de' Barbari's portrait of Luca Pacioli with
an unknown geometry student attending

Luca Pacioli, the Franciscan friar and mathematician who would become known as the ‘Father of Accounting’, died on this day in 1517 in Sansepolcro, a town in eastern Tuscany in the province of Arezzo.

Taking advantage of the development of the printing press, Pacioli is thought to have published at least 10 mathematical textbooks, of which the best known is his Summa de arithmetica, geometria, Proportioni et proportionalita - usually known as simply Summa.

Published in Venice in 1494, it was a comprehensive treatise of every aspect of mathematical knowledge that had been explored to that time and the first book to include a description of the double-entry book-keeping system, widely used by Venetian merchants. The principals he outlined in Summa still influence business practices today.

Pacioli, who taught mathematics in several Italian cities and was appointed the first chair in mathematics at the University of Perugia, was a figure of influence in the arts world as well as commerce.

Having possibly been a student of Piero della Francesca, a pioneer of the use of geometry and perspective in painting and, like Pacioli, a native of Sansepolcro, he later became a close friend of Leonardo da Vinci.

Da Vinci’s drawings illustrated another of his notable works, Divina proportione, an exploration of mathematical and artistic proportion, focussing especially on the so-called golden ratio of proportionality and its application in architecture.

The title page of a 1523 edition of
Pacioli's Summa, his greatest work

Pacioli was around 70 years old when he died, having been born between 1446 and 1448. He received an education based around maths and commerce in Sansepolcro, before moving to Venice in around 1464, continuing his studies there and being appointed tutor to the three sons of a wealthy merchant, Antonio Rompiasi.

From Venice, he moved to Rome, where he became friends with the architect, artist and mathematician Leon Battista Alberti, before returning to Sansepolcro to enter the Franciscan Order in 1470. In the following years, he taught mathematics in Perugia, Florence, Venice, Milan, Pisa, Bologna and Rome. 

After the publication of Summa in 1494, he accepted an invitation from Duke Ludovico Sforza to work in Milan. There he met and taught Leonardo da Vinci, for a time living with the polymath as a house guest. Da Vinci acquired his knowledge of geometry and its applications in art and architecture from his association with Pacioli.

Pacioli might have remained in Milan longer had the city not been overrun by Louis XII of France at the start of the Second Italian War. Ludovico Sforza fled the city, as did Pacioli and da Vinci, first to Mantua, and then Venice.  

Although Pacioli left a significant intellectual legacy in the fields of accounting and mathematics, he was effectively accused of plagiarism by 16th-century artist and historian Giorgio Vasari.

Vasari was critical of the inclusion in Divina proportione - without credit - of the translated text of della Francesca’s book, originally written in Latin, De quinque corporibus regularibus, about the geometry of polyhedra - solid objects with polygonal faces, such as pyramids. Other scholars, though, argue that the edition of Divina proportione that Vasari read may have been appended to include della Francesca’s work after Pacioli’s death.

Pacioli’s final university teaching post is thought to have been in Rome during 1514 and 1515, before returning to Sansepolcro as his health began to decline.

Piero della Francesca's painting, The Resurrection,
which may have spared Sansepolcro a WW2 attack

Travel tip:

Sansepolcro, a town nestled in the Valtiberina valley at the foot of the Apennines, has a rich artistic and cultural heritage. As well as being the home town of Luca Pacioli,  it is known as the birthplace of Renaissance master Piero della Francesca, whose brilliant painting, The Resurrection, is housed in the Museo Civico di Sansepolcro. The presence of the painting probably saved the town from destruction in World War Two after Tony Clarke, an art-loving British Royal Horse Artillery officer who, halted a planned  Allied artillery attack. Another treasure, a 12th-century polychrome wooden crucifix known as the Volto Santo, can be seen in the town’s beautiful Romanesque duomo, the Cattedrale di San Giovanni Evangelista. Look out also for The Lamentation over the Dead Christ, by the Mannerist painter Rosso Fiorentino, in the church of San Lorenzo. Other museums include the Aboca Museum, dedicated to the history of medicinal herbs, featuring antique books, laboratory tools, and botanical collections, as well as the Bernardini-Fatti Museum of Antique Windows, the world’s first museum dedicated to stained glass windows. Sansepolcro’s medieval streets, fortified walls, and historic palazzos make it a delightful place to explore. 

One of Arezzo's notable sights is its sharply
sloping medieval main square, Piazza Grande

Travel tip:

Arezzo is one of the wealthiest cities in Tuscany. It is situated about 80km (50 miles) southeast of Florence, at the confluence of four valleys - Tiberina, Casentino, Valdarno and Valdichiana. Its medieval centre suffered massive damage during the Second World War yet the Basilica di San Francesco, with its beautiful frescoes by Piero della Francesca, the central Piazza Grande, with its sloping pavement in red brick, and the Medici Fortress, the duomo and a Roman amphitheatre survived, among other historic sights.  Arezzo’s original cathedral was built on the nearby Pionta Hill, over the burial place of Donatus of Arezzo, who was martyred in 363. In 1203 Pope Innocent III had the cathedral moved within the city's walls, to the current site in another elevated position a short walk from Piazza Grande.  The interior contains several notable artworks, including a relief by Donatello, entitled Baptism of Christ, and a cenotaph to Guido Tarlati, lord of Arezzo until 1327, said to be designed by Giotto, near to which is Piero della Francesca's Mary Magdalene.  The wooden choir of the Grand Chapel was designed by Giorgio Vasari, who was born in Arezzo. The city is home to an annual medieval festival called the Giostra del Saracino (Saracen Joust), in which "knights" on horseback representing different areas of the town charge at a wooden target attached to a carving of a Saracen king and score points according to accuracy. Arezzo had a starring role in Roberto Benigni's film Life Is Beautiful, which won three Academy Awards, as the place in which the main characters live before they are shipped off to a Nazi concentration camp.

Also on this day:

1918: The death in action of WW1 fighter pilot Francesco Baracca

1932: The birth of actress twin sisters Pier Angeli and Marisa Pavan

1951: The birth of Giro d’Italia-winning cyclist Francesco Moser

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Giovanni Buitoni - entrepreneur

Turned family business into multinational company

Giovanni Buitoni took over the running of
the family business when he was just 18 

Giovanni Buitoni, the entrepreneur who turned Buitoni pasta and Perugina chocolates into the international brands they are today, was born on this day in 1891 in Perugia.

The Buitoni family had been making pasta since 1827, when Giovanni’s great grandmother, Giulia, opened a small shop in the Tuscan town of Sansepolcro, in order to support the family after her husband, Giovan Battista Buitoni, had become ill.  She had her own recipe for pasta that used only high quality durum wheat.

Giulia had pawned her wedding jewellery in order to set up the shop but the business did so well that in 1856 two of the couple’s nine children, Giuseppe and Giovanni, opened a factory in Città di Castello, just over the border in northern Umbria, to manufacture pasta using a hard durum wheat they sourced in Puglia.

Giovanni’s sons, Antonio and Francesco, continued the company’s expansion, founding manufacturing plants in other towns, including Perugia.

It was in Perugia in 1907 that Francesco, noting the increasing popularity of chocolate, joined with several partners in launching the Perugina confectionary company.

Baci chocolates have been one of the most famous
lines made by the Perugina chocolate company

Giovanni junior’s destiny was probably always to have a role in the family business, although it came rather sooner than he expected.  After studying law he had gone to Germany in 1909 to learn the language and to observe the way German industries operated, their practises being somewhat advanced compared with Italy’s.

He curtailed his trip on receiving news that his father’s Perugina chocolate company was on the brink of bankruptcy. Already bursting with ideas for improving business, he persuaded his father to let him take over general management of the company at just 18 years old and succeeded in turning it into a profit-making concern.

Within only a short time, Perugina had expanded from a small basement operation to large factory with hundreds of workers. He installed modern machinery in the plant and introducing new products, among them the famous Baci -‘kisses' - chocolates still produced today, each containing a love note, which were the idea of Luisa Spagnoli, one of his father’s partners - and Giovanni's clandestine lover at the time - who went on to become famous in the fashion industry.

The Buitoni name has been visible in Italian shops since
1827, when the first Buitoni store opened in Sansepolcro

Giovanni even managed to combine running the company with a brief stint in the Italian Army in the First World War and later completing his doctor of law degree at the University of Perugia.

Always an innovator, he increased sales of Buitoni pasta products even in the Great Depression of 1930s by putting picture cards inside each packet for customers to collect. Customers who collected complete sets of the cards were eligible to take part in a radio contest and win prizes, including a FIAT automobile.

Giovanni Buitoni was by now an individual of some stature in Perugia, whose citizens he served as Podesta - mayor - from 1930 to 1935. In 1936, he married the opera singer, Letizia Cairone.

Letizia Cairone married
Buitoni in 1936

Buitoni’s expansion into production outside Italy came almost through a twist of fate.

In 1939, Giovanni and his wife were invited by the Hershey Chocolate Company, who were holding a 30th anniversary celebration at their headquarters in Pennsylvania, to visit the United States.

They also attended the 1939 World’s Fair to New York City to promote their own products. With his typical entrepreneurial vision, having noted how much visitors were being asked to pay for food, Giovanni opened a pop-up spaghetti café on the site, selling plates of pasta dressed in simple sauces at 25 cents each.  He and Letizia cooked about 15,000 portions over the course of the event.

They found the American lifestyle to their liking and stayed on for a while afterwards. Unfortunately, before they could return to Italy the Second World War broke out, and once Italy had declared war on the side of the Germans, Giovanni and Letizia were unable to travel or access their money.

With no option but to stay and fend for themselves, Letizia followed the lead of Giovanni’s great grandmother and pawned her jewellery, enabling Giovanni to find a small premises in which to open a pasta factory in New Jersey.

Thanks in part to his vision in promoting the Buitoni name at the World’s Fair, the brand began to sell.  Within 15 years, the Buitoni Foods Corporation had a much bigger factory in South Hackensack, New Jersey and later another one in Brooklyn. A spaghetti restaurant in Times Square, New York City, followed, along with a Perugina shop on Fifth Avenue.

Carlo De Benedetti sold the Buitoni business to
Nestlé for $1.4 billion in 1987

Giovanni returned to Italy in 1953 to found the International Buitoni Organization to coordinate all the industrial activities of the family-controlled multinational, but he continued to spend long periods in the United States.

A gifted amateur basso profundo, he was able to realise one of his dreams during his stay in the United States, to sing opera at Carnegie Hall in New York. He invited family, friends and employees to make an audience and, with the help of professional singers Licia Albanese, a soprano, and the baritone Anselmo Colzani, sang arias from Don Giovanni, Rigoletto and Ernani.

Giovanni Buitoni retired from the operational management of the Buitoni group in 1966. He and Letizia had no children and his nephew, Marco Buitoni, succeeded him as president and chief operating officer. Giovanni died in Rome in January 1979.

The business was sold in 1985 to the industrialist Carlo De Benedetti, who owned Olivetti and the newspaper La Repubblica among other things. He in turn sold it for $1.4 billion to its current owner, Nestlé.

The Fontana Maggiore in Perugia's Piazza IV Novembre

Travel tip:

Perugia, the capital of the Umbria region, is an ancient city that sits on a high hilltop midway between Rome and Florence. In Etruscan times it was one of the most powerful cities of the period.  It is also a university town with a long history, the University of Perugia having been founded in 1308.  The presence of the University for Foreigners and a number of smaller colleges gives Perugia a student population of more than 40,000.  The centre of the city, Piazza IV Novembre, has a medieval fountain, the Fontana Maggiore, which was sculpted by Nicolo and Giovanni Pisano.

A view across the rooftops of Sansepolcro

Travel tip:

Sansepolcro is a town of 16,000 inhabitants situated about 38km (24 miles) northeast of Arezzo in the east of Tuscany, close to the borders with Umbria and Marche. The historic centre is entirely surrounded with fortified walls, built in the early part of the 16th century. The centre of the town is the Piazza Torre di Berta, named after the 13th-century tower of the same name, off which can be found the impressive Palazzi Pichi and Giovagnoli and the 14th-century cathedral, dedicated to St John the Evangelist.  The city is famous as the place in which the brilliant early Renaissance painter Piero della Francesca was born and died.

More reading:

Michele Ferrero, the man who invented Nutella

Mario Pavesi, the biscuit-maker who gave Italy the Autogrill

Anselmo Colzani and his 16 seasons at The Met

Also on this day:

1835: The birth of pioneer criminologist Cesare Lombroso

2007: The death of author and journalist Enzo Biagi

Vino Novello - Italy's 'nouveau' - goes on sale


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Piero della Francesca - Renaissance painter

Mathematician famous for exploring perspective

Della Francesca's assumed self-
portrait in his Ressurrection

Piero della Francesca, recognised as one of the greatest painters of the early Renaissance, died on this day in 1492 in what was then Borgo Santo Sepolcro, near Arezzo.

He was thought to have been around 77 years old – his exact birth date is not known – and it has been popularly theorised that he was blind in the later years of his life, although evidence to support the claim is sketchy.

Della Francesca’s work was characterised by his exploration of perspective and geometric form, which was hardly surprising since in his own time he was as famous among his peers as a mathematician and geometer as well as an artist.

He came to be recognized in the 20th century as having made a major contribution to the Renaissance.

His fresco cycle The History – or Legend – of the True Cross in the Basilica of San Francesco in Arezzo, painted between 1452 and 1466, and his diptych – two-panelled – portraits of Federico da Montefeltro and Battista Sforza - the Duke and Duchess of Urbino, dated at between 1465 and 1472, which can be seen in the Uffizi Gallery in Florence, are among his best-known works.

Detail from Della Francesca's stunning History of the True
Cross fresco cycle in the Basilica of San Francesco in Arezzo

He had been born in Borgo Santo Sepolcro – now known as Sansepolcro – in around 1415, into a fairly prosperous family. His father, Benedetto dei Franceschi, is thought to have been a wool and leather merchant, while his mother was the daughter of another wool merchant.  They saw to it that Piero had a good education. At that time, he was known as Piero di Benedetto dei Franceschi.

He may have learned his trade from one of several Sienese artists working in the town as he was growing up.  It is known that he was an associate in Florence of Domenico Veneziano, with whom he worked in 1439 on frescoes in the church of Sant’Egidio for the hospital of Santa Maria Nuova. He also knew Fra' Angelico, who introduced him to other leading masters of the time, including Masaccio and Brunelleschi.

In 1442 he returned to Santo Sepolcro, where he was commissioned for an altarpiece in the church of the Misericordia, which showed the influence of Masaccio and also Donatello and highlighted the deliberation with which he worked. The altarpiece was not completed until 1462.

Della Francesca's diptych of the Dukes of Urbino

In 1449 he executed several frescoes in the Castello Estense and the church of Sant'Andrea of Ferrara and, during a period in Rimini, working for the condottiero Sigismondo Pandolfo Malatesta, he painted the fresco of St. Sigismund and Sigismondo Pandolfo Malatesta in the Tempio Malatestiano, as well as Sigismondo's portrait.

In 1452 Della Francesca was called to Arezzo to replace Bicci di Lorenzo in painting the frescoes of the Basilica of San Francesco. The History of the True Cross cycle is generally considered not only to be among his masterworks but of Renaissance painting in general.

Experts say that “the simplicity and clarity of structure, controlled use of perspective, and aura of serenity (in The History of the True Cross) are all typical of Piero’s art at its best.”

Painted at the same time as the Arezzo cycle are a fine depiction of Mary Magdalene in Arezzo cathedral, the Resurrection in the Palazzo Comunale at Sansepolcro, which features a self-portrait of the artist, and his Madonna del parto in the chapel of the cemetery at Monterchi.

The Flagellation of Christ aroused controversy

In 1454 he signed a contract for the multi-panelled polyptych of Saint Augustine in the church of Sant'Agostino in Sansepolcro. The central panel was lost and the four wing panels, with representations of Saints, are in different places around the world.

However, The Baptism of Christ, which was executed around 1460 for the high altar of the church of the Priory of San Giovanni Battista at Sansepolcro, is in The National Gallery in London.

During his time working in Urbino, in the service of Count Federico III da Montefeltro, in addition to his famous diptych, Della Francesca also painted The Flagellation of Christ, which became one of the most famous and controversial pictures of the early Renaissance, with Christ pictured in the background as three unidentified figures dominate the foreground.

Della Francesca was much less active in his declining years, with little evidence that he painted much at all, yet 16^th century artist and historian Giorgio Vasari's contention that he was blind in his 60s does not tally with his completion in his final decade of a geometrical treatise dedicated to Guidobaldo da Montefeltro, son and heir of Duke Federico, written in his own handwriting, and another on perspective in painting.

He passed away in his own house in Santo Sepolcro on the same day that Christopher Columbus made landfall in The Bahamas, believing he had reached Asia.

The Duomo in Sansepolcro

Travel tip:

Sansepolcro is a town of 16,000 inhabitants situated about 38km (24 miles) northeast of Arezzo in the east of Tuscany, close to the borders with Umbria and Marche. The historic centre is entirely surrounded with fortified walls, built in the early part of the 16^th century. The centre of the town is the Piazza Torre di Berta, named after the 13^th-century tower of the same name, off which can be found the impressive Palazzi Pichi and Giovagnoli and the 14^th-century cathedral, dedicated to St John the Evangelist.  As well as being the place in which Piero della Francesca was born and died, it is also the home of Buitoni pasta.

Arezzo's sharply sloping Piazza Grande

Travel tip:

Arezzo is one of the wealthiest cities in Tuscany. Situated at the confluence of four valleys - Tiberina, Casentino, Valdarno and Valdichiana – its medieval centre suffered massive damage during the Second World War but still has enough monuments, churches and museums to be a worthwhile stopover on tourist itineraries. In addition to the Basilica di San Francesco and the Piero della Francesca cycle, sights to take in include central square Piazza Grande, with its sloping pavement in red brick, the Medici Fortress, the Cathedral of San Donato and a Roman amphitheatre.

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