The history

The history of Pascal's principle

From Archimedes' floating bodies to the brakes in every car, how people learned that a push on a trapped fluid goes everywhere.

Archimedes and Stevin showed how water presses on what it touches, and Torricelli showed that air presses too. In the 1650s the young Blaise Pascal put it in one rule: pressure on a trapped fluid spreads equally everywhere, so a small piston can move a big one. It took a London locksmith, a Newcastle lawyer and a California brake maker to turn that rule into the machines that lift, press and stop the modern world.

2,200+
years
20
moments
7
people
8
places

1586

Hydrostatic paradox explained

Simon Stevin, Leiden

1648

Air pressure shown to fall with height

Florin Périer for Blaise Pascal, Puy de Dôme

c. 1654

Principle of equal transmission stated

Blaise Pascal (printed 1663)

1733

Blood pressure measured

Stephen Hales, England

1795

Hydraulic press patented

Joseph Bramah, London

1921

Production car with four-wheel hydraulic brakes

Duesenberg Model A, USA

1971

Pascal adopted as the SI unit of pressure

14th CGPM

c. 250 BCWeighing water

250 BCE – 1586

Weighing water

Archimedes explains floating, and Stevin finds that water's push on a vessel's floor depends only on its depth.

250 BCE

c. 250 BC

Why things float

ArchimedesSyracuse, Sicily

In his book On Floating Bodies, Archimedes worked out that a body in water is pushed up by a force equal to the weight of the water it pushes aside. He treated water as something that presses on whatever is in it.

Why it mattered. It was the first mathematical treatment of fluids at rest, the starting point for everything Pascal later did.

1586

The hydrostatic paradox

Simon StevinLeiden, Dutch Republic

In De Beghinselen des Waterwichts (The Elements of Hydrostatics), Stevin showed that the force of water on the bottom of a vessel depends only on its depth and the area of the bottom, not on the vessel's shape or how much water it holds. He explained it by imagining parts of the water frozen solid without changing anything.

Why it mattered. It is the surprise behind Pascal's barrel and the first clear statement that pressure depends on depth alone.

1643 – 1663

Pascal and the weight of air

Torricelli's mercury tube, Pascal's experiments in Rouen, a barometer carried up a volcano, and the treatise that states the principle.

1643

1643 (reported 1644)

A sea of air

Evangelista TorricelliFlorence, Grand Duchy of Tuscany

Torricelli filled a glass tube with mercury and turned it upside down in a bowl. The mercury fell to about 76 cm and stopped. He argued that the weight of the air outside, pressing on the bowl, was holding the column up.

Why it mattered. It turned air into a fluid with weight and pressure, and sent Pascal off on his own experiments.

1647

1647 (licence to print, 8 October)

Tubes, syringes and wine

Blaise PascalRouen, Normandy

Having heard of Torricelli's tube, the young Pascal repeated and extended it in Rouen with tubes, syringes, bellows and siphons of many shapes, filled with mercury, water, wine and oil. He published the results as Expériences nouvelles touchant le vide.

Why it mattered. Pascal learned to treat every liquid, and air, by the same rules, the groundwork for his principle.

1648

19 September 1648

Carrying a barometer up a volcano

Florin Périer, for Blaise PascalPuy de Dôme, near Clermont

At Pascal's request his brother-in-law measured the mercury column at the foot and the top of the Puy de Dôme, about 1 km higher. At the summit it stood about 3 French inches (roughly 8.5 cm) lower, and he repeated it several times before witnesses.

Why it mattered. It proved that the air's pressure comes from the weight of the air above, the same rule as depth in water.

1654

c. 1651–1654 (printed 1663)

A machine for multiplying forces

Blaise PascalParis

In his Traité de l'équilibre des liqueurs, Pascal stated that pressure applied to a liquid in a closed vessel is passed on equally in all directions. He described a vessel with two openings, one a hundred times bigger than the other: one man pushing the small piston could hold back a hundred pushing the big one. The treatise was printed in 1663, a year after his death.

Why it mattered. This is Pascal's principle, and his idea is exactly the hydraulic press, brake and jack.

1733 – 1896

Presses, cranes and cuffs

Blood is measured as a column of liquid, Bramah builds the hydraulic press, and piped water pressure lifts cranes, lifts and Tower Bridge.

1733

1733 (published)

Blood rises 8 feet up a glass tube

Stephen HalesEngland

Hales, a clergyman and scientist, connected a long glass tube to an artery in a horse's neck. The blood rose about 8 to 9 feet and rose and fell with each heartbeat. He had measured blood pressure as a height of liquid, ρ g h.

Why it mattered. It was the first measurement of blood pressure, and it showed the pulse as a pressure wave.

1795

The hydraulic press

Joseph BramahLondon, England

Bramah, a locksmith and inventor of an improved flush toilet, patented a press with a small pump piston and a large ram joined by water. It put Pascal's idea to work, pressing cloth, paper and metal with enormous force.

Why it mattered. It turned Pascal's principle from a thought experiment into a factory machine.

1797

c. 1797 (attributed)

A seal that tightens itself

Henry MaudslayLondon, England

Bramah's press leaked where the ram slid through its cylinder. His young workman Maudslay is credited with a cupped leather collar that the water pressure itself pressed tighter against the ram.

Why it mattered. Without good seals no hydraulic machine can hold high pressure; the same idea is in every brake calliper.

1846

1845–1846

Cranes powered by the town's water

William ArmstrongNewcastle upon Tyne, England

Armstrong, then a lawyer, persuaded Newcastle to let him drive a quayside crane with the pressure of the new water mains. It worked so well that more followed, and he gave up law to build hydraulic cranes, sold around the world.

Why it mattered. It showed that pressure piped from far away could do heavy work, a network of force.

1883

September 1883

Power through pipes under London

London Hydraulic Power CompanyBankside, London

A company began pumping water at about 800 psi (55 bar) through cast-iron mains under London's streets. Customers used it to run lifts, cranes, dock gates and even theatre stages.

Why it mattered. Pascal's principle carried the pressure, and so the power, through miles of pipe.

1894

30 June 1894

Lifting Tower Bridge

Sir W. G. Armstrong, Mitchell and Co.London, England

Tower Bridge opened with its two bascules, each weighing over 1,000 tonnes, raised by hydraulic engines. Steam pumps charged six accumulators with water at about 750 psi, and the stored pressure drove the machinery. The water system worked until 1974, when oil and electric motors replaced it.

Why it mattered. A landmark still moved by the principle that moves a car's brakes.

1896

The arm cuff

Scipione Riva-RocciTurin, Italy

Riva-Rocci wrapped an inflatable band round the upper arm and read its pressure on a mercury column. The cuff's pressure passes through the arm to the artery; when the pulse at the wrist vanished, the cuff matched the peak pressure.

Why it mattered. It made measuring blood pressure safe and simple, without cutting into an artery.

1905 – 1979

Brakes, diggers and a unit

Hydraulic brakes reach cars and motorcycles, oil rams build the modern digger, and pressure gets its own unit: the pascal.

1905

Listening to the artery

Nikolai KorotkovSt Petersburg, Russian Empire

Korotkov, a military surgeon, listened with a stethoscope below the cuff while letting it down. Taps start at the systolic pressure and stop at the diastolic. His report was only 281 words long.

Why it mattered. It is still how doctors take blood pressure by hand.

1917

Hydraulic brakes

Malcolm Loughead (later Lockheed)California

Loughead patented car brakes worked by fluid in pipes, so that the force reached each wheel equally. Duesenberg's Model A of 1921 became the first production car with hydraulic brakes on all four wheels.

Why it mattered. Today almost every car's brakes are hydraulic, and every one relies on Pascal's principle.

1948

The hydraulic digger

Carlo and Mario BruneriTurin, Italy

The Bruneri brothers built an excavator whose arm and bucket were moved by oil-filled rams. In 1954 they sold the rights to the French firm SICAM, whose Yumbo diggers spread the idea.

Why it mattered. Hydraulic rams replaced cables and made the modern excavator, loader and backhoe.

1965

A pen pushed by gas

Paul C. FisherBoulder City, Nevada

Fisher patented a ballpoint refill sealed with nitrogen at about 35 psi behind the ink. The gas pushes on the ink from behind, so the pen writes upside down, underwater or in space; NASA astronauts used it from 1968.

Why it mattered. Gas pressure pressing evenly on a liquid, Pascal's idea in a pocket.

1969

Disc brakes for everyone's motorcycle

HondaJapan

The Honda CB750 was the first mass-produced motorcycle with a hydraulic front disc brake as standard, a single-piston calliper squeezing a solid disc.

Why it mattered. Hydraulic discs soon became normal on motorcycles, and later on bicycles.

1971

The pascal becomes a unit

14th General Conference on Weights and MeasuresSèvres, near Paris

The world's measurement conference gave the SI unit of pressure, the newton per square metre, the special name pascal (Pa).

Why it mattered. Every weather map, tyre gauge and blood test now honours Pascal by name.

1979

“JCB” becomes an Indian word

JCB and EscortsIndia

The British firm JCB formed a joint venture with Escorts to make hydraulic backhoe loaders in India. The machines became so common that many Indians call any digger a “JCB”, whatever its maker.

Why it mattered. Hydraulic machines built India's roads and buildings, and gave the language a new word.

Did you know?

Pascal's barrel, a thin tube bursting a barrel, is told about Pascal in many textbooks, but it isn't in his own writings and may never have been done by him.

Pascal was only 23 when he began his experiments on fluids in Rouen, and he also built one of the first mechanical calculators.

Every 10 metres of water adds about one atmosphere of pressure, so a diver at 30 m feels about four atmospheres in all.

London's hydraulic power network ran from 1883 until 1977, and its pipes were later reused to carry cables.

In India, many people call any backhoe digger a “JCB”, after the British maker.

The people

Who figured it out

Blaise Pascal

1623 – 1662 · Mathematician, physicist and writer · France

Stated that pressure on a confined fluid spreads equally everywhere, and imagined the hydraulic press.

Simon Stevin

1548 – 1620 · Engineer and mathematician · Flanders (Dutch Republic)

Showed that a liquid's push on a floor depends only on depth, the hydrostatic paradox.

Evangelista Torricelli

1608 – 1647 · Physicist and mathematician · Italy

Made the mercury barometer and showed that air has weight.

Florin Périer

1605 – 1672 · Magistrate, Pascal's brother-in-law · France

Carried the barometer up the Puy de Dôme in 1648.

Joseph Bramah

1748 – 1814 · Locksmith and inventor · England

Patented the hydraulic press in 1795.

William Armstrong

1810 – 1900 · Lawyer turned engineer · England

Built hydraulic cranes run on water-main pressure, and later Tower Bridge's machinery.

Malcolm Loughead

1887 – 1958 · Engineer · United States

Patented hydraulic car brakes in 1917.

Where it happened

8 places, one idea

Sources

Where this comes from

Dates marked “c.” are approximate, and historians sometimes disagree about who was first. If you spot a mistake, tell us.

  1. Pascal's law Wikipedia
  2. Blaise Pascal Stanford Encyclopedia of Philosophy
  3. Puy de Dôme Wikipedia
  4. 19 septembre 1648 : mise en évidence de la pesanteur de l'air La France pittoresque
  5. Florin Périer Linda Hall Library
  6. Expériences nouvelles touchant le vide Wikipédia
  7. De Beghinselen des Waterwichts Internet Archive
  8. Simon Stevin Encyclopedia.com
  9. On Floating Bodies Wikipedia
  10. Evangelista Torricelli Britannica
  11. Hydraulic press Wikipedia
  12. Henry Maudslay Wikipedia
  13. Joseph Bramah Wikipedia
  14. William George Armstrong Science Museum Group Collection
  15. William Armstrong, 1st Baron Armstrong Wikipedia
  16. London Hydraulic Power Company Wikipedia
  17. Tower Bridge Wikipedia
  18. Sir William Armstrong Tower Bridge
  19. Stephen Hales: the priest who pioneered clinical physiology Hektoen International
  20. Scipione Riva-Rocci Wikipedia
  21. Nikolai Korotkov Wikipedia
  22. Physiology, Korotkoff Sound StatPearls, NCBI Bookshelf
  23. Hydraulic brake Wikipedia
  24. Malcolm Lockheed Wikipedia
  25. Duesenberg 4-Wheel Hydraulic Braking System ASME
  26. Honda CB750 and CR750 Wikipedia
  27. The World's First Hydraulic Excavator Powertrack
  28. Space Pen Wikipedia
  29. Resolution 1 of the 14th CGPM (1971) BIPM
  30. Pascal (unit) Wikipedia
  31. JCB in India (case study) Hill and Hult, International Business (via Scribd)
  32. Hydraulic machinery Wikipedia
  33. Blaise Pascal Britannica

That's the history. Now see how it works.