Maria Gaetana Agnesi

Maria Gaetana Agnesi

1718 — 1799

Monarchie de Habsbourg

SciencesSpiritualityPhilosophyPhilosopheEarly Modern18th century — The Enlightenment and scientific revolution in Europe

An Italian mathematician and philosopher of the 18th century, Maria Gaetana Agnesi is celebrated for her treatise Instituzioni analitiche (1748), a pioneering pedagogical synthesis of differential and integral calculus. The first woman appointed as a professor of mathematics at the University of Bologna, she later devoted her life to charity and spirituality.

Key Facts

  • 1718: born in Milan into a noble and cultured family
  • 1748: publication of Instituzioni analitiche ad uso della gioventù italiana, a landmark treatise on calculus
  • 1750: appointed honorary professor of mathematics at the University of Bologna by Pope Benedict XIV
  • Around 1752: abandons mathematics to devote herself to theology and charitable works
  • 1799: dies in Milan after decades of religious and philanthropic life

Works & Achievements

Oratio qua ostenditur artium liberalium studia a femineo sexu neutiquam abhorrere (1727)

A Latin oration delivered and published at the age of nine, arguing for women's right to education. The first public testament to Agnesi's prodigious genius and humanist convictions.

Propositiones philosophicae (1738)

A collection of 191 philosophical and scientific theses defended during her father's private academies. The work demonstrates the encyclopedic breadth of her knowledge in physics, logic, and mathematics.

Instituzioni analitiche ad uso della gioventù italiana (1748)

A two-volume pedagogical masterpiece synthesizing algebra, differential calculus, and integral calculus. The first complete mathematical treatise written by a woman, it was translated into French and English and adopted by several European universities.

The Witch of Agnesi curve (1748)

An algebraic curve analyzed and popularized in the Instituzioni analitiche, nicknamed the 'Witch of Agnesi' due to a mistranslation into English. It still bears her name in mathematics textbooks around the world.

Anecdotes

A remarkable child prodigy, Maria Gaetana Agnesi had mastered five languages by the age of nine, including Latin and Greek. Her father, a wealthy Milanese merchant, hosted scholarly gatherings where she debated natural philosophy in Latin before Milan's greatest minds — a miniature academic salon in every sense.

The mathematical curve known as the 'Witch of Agnesi' owes its strange name to a translation error. Agnesi called the curve 'versiera' (from the Latin 'vertere', to turn); but the English translator John Colson, in 1801, confused the word with 'avversiera', meaning 'witch' or 'female devil' in Italian. And so a simple algebraic curve ended up saddled with a mysterious nickname for centuries to come.

In 1750, Pope Benedict XIV, impressed by the Instituzioni analitiche, officially appointed Maria Gaetana Agnesi as professor of mathematics and natural physics at the University of Bologna. It was an unprecedented honor for a woman. Yet Agnesi, already drawn toward religious life, never actually taught in Bologna and continued to live in Milan.

After her father's death in 1752, Agnesi permanently set aside mathematics to devote herself entirely to the poor and the sick. She founded a hospice in Milan, the Pio Albergo Trivulzio, where she worked until her death in 1799. She died in poverty, having given away all her resources to those in need.

At just nine years old, in 1727, Agnesi publicly delivered a lengthy oration in Latin that she had composed herself, arguing for women's right to access higher education. The text, known as the Oratio, so astonished Milanese scholars that it was printed and circulated throughout Europe as a remarkable intellectual curiosity.

Primary Sources

Instituzioni analitiche ad uso della gioventù italiana (1748)
I have tried to make the path that must be followed in the study of Analysis easy and clear... bringing together the methods of the most celebrated modern Analysts.
Propositiones philosophicae (1738)
A collection of 191 philosophical and scientific theses publicly defended by Agnesi at scholarly gatherings organized by her father, covering physics, natural philosophy, and mathematics.
Oratio qua ostenditur artium liberalium studia a femineo sexu neutiquam abhorrere (1727)
Agnesi eloquently argues that women possess the same intellectual capacities as men and should have equal access to the liberal arts and sciences.
Letter of appointment from Pope Benedict XIV to the University of Bologna (1750)
The Holy Father, having taken note of the excellence of Madame Agnesi's analytical work, confers upon her the chair of mathematics and natural physics at the University of Bologna — an honor rarely granted to a person of her sex.

Key Places

Milan, Palazzo Agnesi

The family residence where Pietro Agnesi hosted his famous academic gatherings, bringing together the leading scholars of Milan. It was in this setting that Maria displayed her talents as a polyglot and philosopher from an early age.

University of Bologna

The oldest university in Europe, where Pope Benedict XIV appointed Agnesi as professor of mathematics in 1750. Although she never taught there, the title made her a worldwide symbol of women's access to academic knowledge.

Pio Albergo Trivulzio, Milan

A large Milanese hospice where Agnesi devoted the final decades of her life to caring for the poor and the sick. She died there in 1799, having given up everything for this charitable mission.

Rome, Vatican

Pope Benedict XIV, from Rome, actively supported Agnesi's work and sent her a personal letter of congratulations following the publication of the Instituzioni analitiche, before appointing her to Bologna.

Gallery

Maria Gaetana Agnesi

Maria Gaetana Agnesi

Wikimedia Commons, Public domain — Unknown authorUnknown author

Maria Gaetana Agnesi (1836)

Maria Gaetana Agnesi (1836)

Wikimedia Commons, Public domain — Bianca Milesi Mojon (1790-1849)

Gaetana Agnesi

Gaetana Agnesi

Wikimedia Commons, CC BY-SA 4.0 — Paolo P. Lava

Lapide Gaetana agnesi

Lapide Gaetana agnesi

Wikimedia Commons, CC BY-SA 4.0 — Bramfab

Ingresso villa Gaetana Agnesi

Ingresso villa Gaetana Agnesi

Wikimedia Commons, CC BY-SA 4.0 — Bramfab

Il diploma di nomina dell' Agnesi all' Università di Bologna

Il diploma di nomina dell' Agnesi all' Università di Bologna

Wikimedia Commons, Public domain — Administrative document


Historical pictures retouched;

Historical pictures retouched;

Wikimedia Commons, Public domain — Dall, Caroline Wells Healey, 1822-1912


The world's encyclopedia of wonders and curiosities of nature and art, science and literature;representing anatomy, physiology, phrenology, astronomy, botany, geology, natural history, ichthyology, m

The world's encyclopedia of wonders and curiosities of nature and art, science and literature;representing anatomy, physiology, phrenology, astronomy, botany, geology, natural history, ichthyology, m

Wikimedia Commons, Public domain — Platts, John, 1775-1837. [from old catalog]


History of the female sex; comprising a view of the habits, manners, and influence of women, among all nations, from the earliest ages to the present time

History of the female sex; comprising a view of the habits, manners, and influence of women, among all nations, from the earliest ages to the present time

Wikimedia Commons, Public domain — Shoberl, Frederic, 1775-1853, translator. n 83067169

Portret van Maria Gaetana Agnesi, RP-P-1909-4773

Portret van Maria Gaetana Agnesi, RP-P-1909-4773

Wikimedia Commons, CC0 — Rijksmuseum

See also