Evangelista Torricelli(1608 — 1647)

Evangelista Torricelli

grand-duché de Toscane

7 min read

SciencesTechnologyScientifiqueMathématicien(ne)Inventeur/triceEarly Modern17th century, the era of the European Scientific Revolution

Italian physicist and mathematician of the 17th century, student of Galileo. He invented the mercury barometer in 1643 and demonstrated the existence of atmospheric pressure, paving the way for modern experimental physics.

Frequently asked questions

Evangelista Torricelli (1608-1647) was an Italian physicist and mathematician of the 17th century, a student of Galileo. The key thing to remember is that he invented the mercury barometer in 1643, demonstrating the existence of atmospheric pressure. This discovery revolutionized our understanding of air and laid the foundations of modern meteorology.

Key Facts

  • 1608: born in Faenza (Italy)
  • 1641: becomes Galileo's assistant in Florence
  • 1643: invents the mercury barometer and demonstrates the existence of a vacuum (Torricelli's experiment)
  • 1644: publishes Opera Geometrica, his work in mathematics
  • 1647: dies in Florence at the age of 39

Works & Achievements

Invention of the mercury barometer (1643)

The first instrumental measurement of atmospheric pressure, carried out in Florence. This invention founded instrumental meteorology and opened the way for the scientific study of the atmosphere.

Demonstration of the Torricellian vacuum (1643)

The empty space above the mercury in the barometric tube constitutes the first attested artificial vacuum. This discovery refuted the Aristotelian maxim “nature abhors a vacuum” and sparked a wide-ranging philosophical debate across Europe.

Opera Geometrica (1644)

His only work published during his lifetime, it contains original theorems on fluid motion (including Torricelli’s theorem on flow rate), projectile trajectories, and the properties of solids of revolution derived from the cycloid.

Torricelli’s theorem on fluid flow (1644)

A mathematical demonstration that the speed at which a liquid flows through an orifice is proportional to the square root of the height of the liquid above that orifice. This result, contained in the *Opera Geometrica*, is still taught in fluid physics today.

Refinement of optical lenses (1645-1647)

In his final years, Torricelli devoted himself to crafting very high-quality lenses for telescopes, contributing to the growth of observational astronomy across Europe.

Work on the geometry of indivisibles (1641-1647)

A correspondent of Bonaventura Cavalieri, Torricelli independently developed methods for computing areas and volumes using “indivisibles,” foreshadowing the integral calculus of Newton and Leibniz.

Anecdotes

In 1643, Torricelli filled a long glass tube with liquid mercury, turned it upside down in a basin, and observed that the mercury did not fall completely: a column remained suspended at around 76 centimetres. He had just invented the barometer and measured atmospheric pressure for the first time.

Above the mercury in his tube, Torricelli noticed an empty space — the first artificial vacuum ever produced by human hands. This “Torricellian vacuum” caused a scandal: the Church and Aristotelian philosophers claimed that nature abhorred a vacuum. Torricelli had just proved the opposite.

Torricelli became the secretary and assistant to Galileo in the final months of his life, in 1641, when the elderly scholar was blind and under house arrest by the Inquisition. Upon Galileo's death in January 1642, Grand Duke of Tuscany Ferdinando II appointed Torricelli official court mathematician, as a sign of intellectual continuity.

Inspired by Torricelli's letters, the Frenchman Blaise Pascal organised in 1648 the famous Puy-de-Dôme experiment: his brother-in-law Florin Périer carried a barometer to the summit of the volcano and found that the mercury column was shorter than at the bottom. The proof was clear that it is the weight of the air that holds the mercury up — and not some mysterious 'active vacuum'.

Torricelli died at only 39, carried off by typhoid fever in October 1647, just days after his birthday. He left behind thousands of pages of unpublished notes on mathematics, physics, and optics. His friends and colleagues had to compile his work posthumously.

Primary Sources

Letter from Torricelli to Michelangelo Ricci on the barometer experiment (11 June 1644)
We live submerged at the bottom of a sea of elementary air, which undeniable experiments show to have weight... On the surface of the mercury in the basin, it bears the weight of a column of air approximately fifty miles high.
Opera Geometrica (1644)
Torricelli proves theorems on the motion of projectiles, the cycloid, and the geometric properties of solids of revolution, extending and surpassing the work of Archimedes and Galileo.
Letter from Torricelli to Ricci on the nature of the vacuum (28 June 1644)
I maintain that a vacuum is produced inside the tube, and that this vacuum is not what holds the mercury up, but that the mercury is held up by the external pressure of the air.
Lezioni accademiche (Academic Lectures, published posthumously) (1715 (posthumous))
These lectures delivered at the Accademia della Crusca present his research on geometry, motion, and the properties of air, bearing witness to the richness of his scientific thought.

Key Places

Faenza, Italy

A town in Romagna where Torricelli was born in 1608. Orphaned of his father at a very young age, he received his early education there with the Franciscans before being sent to Rome.

Rome, Italy

Torricelli studied here from 1627 to 1641 under Benedetto Castelli, mathematician to the Pope and friend of Galileo. It was here that he was trained in the cutting-edge physics and mathematics of his era.

Arcetri, Florence, Italy

A village on the hills south of Florence where Galileo spent his final days under house arrest. Torricelli worked alongside the old, blind scholar during the last months of his life, in 1641–1642.

Florence, Italy

The Medici capital where Torricelli lived and worked from 1642 until his death in 1647, serving as official mathematician to the Grand Duke. It was here that he conducted his barometer experiment and produced his most important works.

Puy de Dôme, France

Although Torricelli never went there, this volcanic peak in Auvergne is inseparable from his legacy: it was here that Pascal arranged for the verification in 1648 that atmospheric pressure decreases with altitude, brilliantly confirming Torricelli's theory.

See also