Danti was born in Perugia in 1536 to a family of artists and scientists. As a boy he learned the rudiments of painting and architecture from his father Giulio, an architect and engineer who studied under Antonio da Sangallo, and his aunt Teodora,[2] who was said to have studied under the painter Perugino and also wrote a commentary on Euclid. His older brother Vincenzo Danti became one of the leading court sculptors of late-sixteenth-century Florence, while his younger brother Girolamo Danti (1547–1580) became a local painter.
Danti entered the Dominican Order on 7 March 1555, changing his baptismal name from Pellegrino to Ignazio. After completing his studies in philosophy and theology he spent some time preaching but soon devoted himself zealously to mathematics, astronomy, and geography.[2]
In Florence
In 1562, he requested a transfer from the Dominican compound in Perugia to the monastery of San Marco in Florence. Soon after, he found work on the side tutoring the children of wealthy Florentines in mathematics and science. In September 1563, he was invited by Cosimo I, Duke of Tuscany to participate in his cosmographical project, the Guardaroba in the Palazzo Vecchio. Over the next dozen years, Danti painted 30 maps of regions of the world (based largely upon published prints by Giacomo Gastaldi, Abraham Ortelius, Gerardus Mercator, and others) upon the cabinet doors of the Guardaroba. He also worked on many other significant scientific and cosmographic projects in Florence, including the large terrestrial globe of the Guardaroba (1564–1568), and a number of brass scientific instruments (such as an astrolabe) today in the Museo Galileo in Florence. Between 1567 and 1569, Pius V, who belonged to the Dominicans, is said to have commissioned Danti to furnish plans for the construction of a Dominican church and convent at Bosco Marengo in Piedmont; Danti acted mainly as an adviser. During his stay in Florence, Danti taught mathematics[2] and published a number of scientific treatises, mostly commentaries on ancient and medieval astronomy and mathematics or explanations of how to use scientific instruments.
For much of his time in Florence, Danti resided at the convent of Santa Maria Novella, and designed the quadrant and the armillary sphere that appear on the end blind arches of the lower facade of the church in 1572 and 1574, on the right and left respectively. He also designed a large-scale gnomon for the church which allowed a thin beam of light to enter the church at noon each day through a hole just beneath the facade's rose window,[3] although it probably was not completed by the time Danti left Florence.
In 1574, Danti used his instruments to calculate the time of the March equinox, an important date for calculating the date of Easter. He discovered that it was 11 days out, falling on the 11 March rather than the 22 March, and he became a leading figure in proposing the reforms that lead to the adoption of the Gregorian calendar in 1582.[4]
There were also discussions between the Duke and Danti about building a canal to place Florence in communication with both the Mediterranean and the Adriatic. However, this ambitious plan was not started before Cosimo's death in 1574. In late September the following year, Cosimo's son, Grand Duke Francesco de' Medici, compelled Danti to leave Florence.[4] It is not known precisely why Francesco exiled Danti, but the Dominican had no trouble finding work or patrons anywhere else in Italy, although he never returned to Florence.
Later life and bishopric
After leaving Florence, Danti became a professor of mathematics at the University of Bologna. He also spent some time in Perugia, at the invitation of the governor, where he prepared maps of the Perugian republic.
On account of his mathematical skills, Pope Gregory XIII invited him to Rome, appointed him pontifical mathematician and made him a member of the commission for the reform of the calendar.[4] He also placed him in charge of the painters whom the Pope had summoned to the Vatican to continue the decoration of the palace, most notably to make a number of maps of the regions of modern Italy in the newly constructed Gallery of Maps along the Cortile del Belvedere. This project, begun in early 1580 and completed about 18 months later, mapped the entirety of the Italian peninsula in 40 large-scale frescoes, each depicting a region as well as a perspective view of its most prominent city.
Besides the works already mentioned, Danti was the author of Trattato del'uso e della fabbrica dell'astrolabo con la giunta del planifero del Raja; Le Scienze matematiche ridotte in tavole, also a revised and annotated edition of La Sfera di Messer G. Sacrobosco tradotta da Pier Vincenzio Danti. The first mentioned work deals with the use and construction of the astrolabe and is one of the oldest instructions for scientific instruments. Danti wrote the first Italian treatise on this topic to accompany the book.[5]
Danti died at Alatri on 10 October 1586,[6] three years into his service.