First U.S. census is conducted, showing a population of 3,939,214.

Society of Friends petitions Congress for abolition of slavery.

The first ten amendments to the US Constitution — The Bill of Rights — are ratified.

Washington, D.C., founded as the capitol of the United States.

German poet Johann Wolfgang von Goethe writes The Morphology of Plants stating that all plant organs, flowers included, began as leaves — an assertion that will enjoy some support from 21st-century genetic research.

Painting by Élisabeth Vigée Le Brun: Lady Hamilton as a Bacchante Emma, Lady Hamilton, model and actress, is best remembered as the mistress of Lord Nelson and as the muse of George Romney. She was born Amy Lyon in Ness near Neston, Cheshire, England, the daughter of Henry Lyon, a blacksmith who died when she was two months old. She was raised by her mother, the former Mary Kidd, at Hawarden, and received no formal education. She later changed her name to Emma Hart.

Vermont admitted as 14th state (first addition to the original thirteen colonies).

Charles Babbage is Born

John Stone, Concord, Massachusetts, patents a pile driver.

New York City traffic regulation creates first one-way street.

British doctors find that snuff leads to increased risk of nose cancer.

Luigi Galvani announces that electricity applied to severed frog's legs causes them to twitch and that frogs legs twitch in the presence of two different metals with no electric current present. The latter discovery eventually leads to Alessandro Volta's developing the electric battery.

Pierre Prévost develops his theory of exchanges of radiation of heat. He correctly shows that cold is merely the absence of heat and that all bodies continually radiate heat. If they seem not to radiate heat, it means that they are in heat equilibrium with their environment.

"La Marseillaise" composed by Claude-Joseph Rouget de Lisle.

Painting by Élisabeth Vigée Le Brun: Lady Hamilton as the Persian Sibyl, commissioned by the Duc de Brissac and painted in Naples, a copy of which was sent to Sir William. This portrait gained great fame wherever it was displayed, and was instrumental in the rise of Le Brun's career as a portrait artist.[ Emma, Lady Hamilton, model and actress, is best remembered as the mistress of Lord Nelson and as the muse of George Romney. She was born Amy Lyon in Ness near Neston, Cheshire, England, the daughter of Henry Lyon, a blacksmith who died when she was two months old. She was raised by her mother, the former Mary Kidd, at Hawarden, and received no formal education. She later changed her name to Emma Hart.

The Coinage Act of 1792 (also known as the Mint Act; officially: An act establishing a mint, and regulating the Coins of the United States), passed by the United States Congress on April 2, 1792, created the United States dollar as the country's standard unit of money, established the United States Mint, and regulated the coinage of the United States. This act established the silver dollar as the unit of money in the United States, declared it to be lawful tender, and created a decimal system for U.S. currency. The Act specified the issuing of three gold coins comprising a $10 gold coin called an "eagle", a $5 coin called a "half eagle", and a $2.5 coin called a "quarter eagle". The Act also authorized construction of a mint building in Philadelphia, the nation's capital at the time. This was the first federal building erected under the United States Constitution. Adjusted for inflation, the ten-dollar coin would be worth $231.00 in today's money. As collector's items, these gold coins have sold for more than $100,000 each.

U.S. postal service created; postage 6–12 cents, depending on distance. (In today's dollars, that would be somewhere between $1.40 and $3.00.)

Guillotine first used (to execute highwayman Nicolas J. Pelletier).

Captain George Vancouver claims Puget Sound for Britain.

France declares war on Austria, starting French Revolutionary Wars.

The French Republic is proclaimed.

Twenty-four merchants form New York Stock Exchange at 70 Wall Street.

Louvre opens in Paris.

Painting by Jacques-Louis David: The Death of Marat (French: La Mort de Marat or Marat Assassiné) is one of the most famous images of the French Revolution. David was the leading French painter, as well as a Montagnard and a member of the revolutionary Committee of General Security. The painting shows the radical journalist lying dead in his bath on 13 July 1793 after his murder by Charlotte Corday. Painted in the months after Marat's murder, it has been described by T. J. Clark as the first modernist painting, for "the way it took the stuff of politics as its material, and did not transmute it".

To enforce Article IV, Section 2, the U.S. Congress enacts the Fugitive Slave Law. It allows slaveowners to cross state lines to recapture their slaves. They must then prove ownership in a court of law. In reaction, some Northern states pass personal liberty laws, granting the alleged fugitive slaves the rights to habeas corpus, jury trials, and testimony on their own behalf. These Northern state legislatures also pass anti-kidnapping laws to punish slave-catchers who kidnap free blacks, instead of fugitive slaves.

France becomes first country to use the metric system.

Eli Whitney invents the cotton gin (cotton enGINe), a machine that quickly and easily separates cotton fibers from their seeds, allowing for much greater productivity than manual cotton separation. By reducing the labor of removing seeds, the cotton gin made cotton growing more profitable, thereby raising demand for slave labor. The first federal census of 1790 counted 697,897 slaves; by 1810, there were 1.2 million slaves, a 70 percent increase. Slavery spread from the seaboard to some of the new western territories and states as new cotton fields were planted, and by 1830 it thrived in more than half the continent. Within 10 years after the cotton gin was put into use, the value of the total United States crop leaped from $150,000 to more than $8 million.

King Louis XVI of France is executed.

Reverend James Douglas publishes Nenia Britannica; or, A Sepulchral History of Great Britain providing perhaps the first record of a fossil (sea urchin) at an archaeological site.

Slavery abolished in the French colonies.

John Frere describes and illustrates handaxes from Hoxne that will turn out to be some 400,000 years old.

John Dalton's Extraordinary facts relating to the vision of colors gives an early account of red-green color blindness, which he refers to as Daltonism, since he is afflicted with the condition.

Zoonomia, or the Laws of Organic Life by Erasmus Darwin (grandfather of Charles Darwin) contains his ideas about evolution, which are Lamarckian in that they assume the environment has a direct influence on organisms, causing permanent changes in the germ line.

Alessandro Volta demonstrates that the electric force observed by Galvani is not connected with living creatures, but can be obtained whenever two different metals are placed in a conducting fluid.

Beethoven (24) debuts as pianist in Vienna.

The US flag is modified to have fifteen stars and fifteen stripes, reflecting the addition of two new states: Vermont and Kentucky. This is the only US flag to have other than thirteen stripes.

Johann Friedrich Blumenbach publishes De generis humani varietate nativa liber arguing that humans comprise a single species with five varieties: Caucasian, Mongolian, Ethiopian, (American) Indian and Malayan.

James Hutton overturns the "Neptunian" view of rock formation in his Theory of the Earth, suggesting instead that forces of rock creation are balanced by forces of rock destruction.

George Washington declines a third term as President, gives his Farewell Address.

John Adams sworn in as the second president of the United States.

Napoleon invades Egypt and defeats the Egyptians at the Battle of the Pyramids.

Henry Cavendish determines the mass of Earth by measuring the gravity between two small masses and two large masses. This gives the gravitational constant G, which was the only unknown in Newton's equations. Solving for G enables Cavendish to establish that Earth is about 5.5 times as dense as water.

Enquiry concerning the source of heat which is excited by friction by Count Rumford (Benjamin Thompson) describes his experiments with boring cannons that show that the caloric theory of heat cannot be true, and that heat should be considered a kind of motion.

Painting by Jacques-Louis David: The Intervention of the Sabine Women shows a legendary episode following the abduction of the Sabine women by the founding generation of Rome. The genesis of Les Sabines and the work itself represented a significant departure for the day. Historical depictions had been typically commissioned. David however, conceived, produced and promoted his work for profit. He produced marketing material to accompany the first exhibition. Le Tableau des Sabines, Exposé Publiquement au Palais National des Sciences et des Arts "the Tableau of the Sabines, Public Exhibition at the National Palace of Arts and Science" contained his own account of the episode and anticipated the controversy over his use of nudity with an end-note explaining his rationale. Its 1799 exhibition attracted a large number of paying visitors for several years and in 1819 he sold Les Sabines and his L onidas at Thermopylae to the Royal Museums for 10,000 francs.

The Rosetta Stone is discovered in Egypt. The stone is a fragment of an Egyptian stele with the same inscription in three texts: ancient Egyptian hieroglyphs, Egyptian demotic script, and Greek. This side-by-side translation allows historians to translate ancient Egyptian hieroglyphs for the first time.

Napoleon Bonaparte becomes First Consul and seizes power in France.

Faujas publishes a description of the Maastricht animal, a spectacular mosasaur found in chalk quarries in the Netherlands, describing it as a crocodile.

Thomas Jefferson publishes a paper describing Megalonyx, a North American fossil ground sloth similar to the one found in South America.

George Shaw publishes a description of a platypus even though he suspects the odd animal might be a hoax.

Alexander von Humboldt names the Jurassic System, after the Jura Mountains. This time period will later be identified as the "middle period" for the dinosaurs.

William Smith maps rock formations in the vicinity of Bath, England, making perhaps the world's first geologic map. The same year, Smith, Joseph Townsend and Benjamin Richardson recognize rocks containing the Permian and Triassic, though not necessarily by those names. (These periods will later be identified as spanning the Earth's most catastrophic mass extinction.)

The British government purchases the collection of Scottish anatomist John Hunter, forming the Hunterian Museum.