* 1770 – David Thompson, Canadian explorer ( d. 1857 )

* 1770 – James Cook names and lands on Possession Island, Queensland and claims the east coast of Australia as New South Wales in the name of King George III.

* 1770 – Georg Wilhelm Friedrich Hegel, German philosopher ( d. 1831 )

* 1770 – William Clark, American soldier, explorer, and politician ( d. 1838 )

* 1770 – Frederick William III of Prussia ( d. 1840 )

* 1770 – James Cook arrives at and names Botany Bay, Australia.

* 1770 – James Cook formally claims eastern Australia for Great Britain, naming it New South Wales.

* 1770 – The Georgian king Erekle II, abandoned by his Russian ally Count Totleben, wins a victory over Ottoman forces at Aspindza.

* 1770 – Captain James Cook sights the eastern coast of what is now Australia.

* 1770 – Marie Antoinette marries Louis XVI in a proxy wedding.

* Mike Fink ( c. 1770 / 1780 – c. 1823 ) called " king of the keelboaters ", was a semi-legendary brawler and river boatman who exemplified the tough and hard-drinking men who ran keelboats up and down the Ohio and Mississippi Rivers.

* 1770 – Georg Sverdrup, Norwegian philologist ( d. 1850 )

* 1770 – William Wordsworth, English poet ( d. 1850 )

125, is the final complete symphony of Ludwig van Beethoven ( 1770 – 1827 ).

* Christian Bunsen ( librarian ) ( 1770 – 1837 ), chief librarian of Göttingen and professor of modern philology, father of Robert Bunsen

David Thompson ( April 30, 1770 – February 10, 1857 ) was a British-Canadian fur trader, surveyor, and map-maker, known to some native peoples as " Koo-Koo-Sint " or " the Stargazer ".

* 1714 – George Whitefield, English-born Methodist leader ( d. 1770 )

* 1770 – Ludwig van Beethoven, German composer ( d. 1827 )

* 1828 – Robert Jenkinson, 2nd Earl of Liverpool, Prime Minister of the United Kingdom ( b. 1770 )

* 1722 – Charles Yorke, Lord Chancellor of Great Britain ( d. 1770 )

* 1831 – Thomas Seebeck, Baltic German physicist ( b. 1770 )

He overcame the opposition, and went to learn from François Boucher ( 1703 – 1770 ), the leading painter of the time, who was also a distant relative.

In 1757, he married Mary ( Polly ) Howard ( 1740 – 1770 ).

Nevertheless, composers continued to write and study fugues for various purposes ; they appear in the works of Wolfgang Amadeus Mozart ( 1756 – 1791 ) and Ludwig van Beethoven ( 1770 – 1827 ), as well as modern composers such as Dmitri Shostakovich ( 1906 – 1975 ).

* January 3 – Louis Gabriel Suchet, French marshal ( b. 1770 )

The strict and conservative education he received from the Duc de La Vauguyon, " gouverneur des Enfants de France " ( governor of the Children of France ), from 1760 until his marriage in 1770, did not prepare him for the throne that he was to inherit in 1774 after the death of his grandfather, Louis XV.

A further step was the 1770 paper Réflexions sur la résolution algébrique des équations by the French-Italian mathematician Joseph Louis Lagrange, in his method of Lagrange resolvents, where he analyzed Cardano and Ferrarri's solution of cubics and quartics by considering them in terms of permutations of the roots, which yielded an auxiliary polynomial of lower degree, providing a unified understanding of the solutions and laying the groundwork for group theory and Galois theory.

Under the patronage of his former music pupil, Marie Antoinette, who had married the future French king Louis XVI in 1770, Gluck signed a contract for six stage works with the management of the Paris Opéra.

Around 1770, Joseph Louis Lagrange began the groundwork that unified the many different tricks that had been used up to that point to solve equations, relating them to the theory of groups of permutations, in the form of Lagrange resolvents.

Louis Gabriel Suchet, 1st Duc d ' Albufera ( 2 March 1770 – 3 January 1826 ) was a Marshal of France and one of Napoleon's most brilliant generals.

Choiseul had been ready go to war in 1770 during the Falklands Crisis, but Louis XV had been alarmed by the British naval mobilization and instead dismissed Choiseul and backed down.

In 1770 Stamitz went to Paris where he went into service with Duke Louis of Noailles, who made him his court composer.

* Louis Billouart de Kervaségan, chevalier de Kerlérec ( 1704 – 1770 ), last French governor of Louisiana

* Louis Nicolas Davout, Duke of Auerstaedt, Prince of Eckmühl ( 1770 – 1823 ), Marshal of the Empire in 1804

* Louis Gabriel Suchet, Duke of Albufera ( 1770 – 1826 ), Marshal of the Empire in 1811

This theorem was proven by Joseph Louis Lagrange in 1770, and corresponds to Fermat's theorem on sums of two squares.

Field Marshal John ( Jean Louis ) Ligonier, 1st Earl Ligonier, KB, PC ( 7 November 1680 – 28 April 1770 ) was a French-born British soldier.

The original design was to have a miniature bust of Louis XV on top, but it was replaced by Minerva after his death in 1770.

Marthe-Marguerite wrote valuable Souvenirs of the court of Louis XIV ; these were edited by Voltaire ( 1770 ), and by many later editors.

The diplomatic revolution of 1756, sealed in 1770 with the personal union ( the diplomatic term for marriage ) of Louis, the Dauphin of Viennois, and the Austrian Archduchess Marie Antoinette, was considered both a political and matrimonial mésalliance in the eyes of many Frenchmen.

Louis XVI of France had commissioned Lapérouse to explore the Pacific In April 1770 James Cook's expedition had sailed onto the east coast of Australia whilst exploring the south Pacific searching for Terra Australis or ‘ Land of the South ’.

Ruffini developed Joseph Louis Lagrange's work on permutation theory, following 29 years after Lagrange ’ s " Réflexions sur la théorie algébrique des equations " ( 1770 – 1771 ) which was largely ignored until Ruffini who established strong connections between permutations and the solvability of algebraic equations.

Charles Louis Bernard de Cléron, comte d ' Haussonville ( 1770 – 1846 ) was a French aristocrat and political figure, the father of Joseph d ' Haussonville.

In 1770 they were one of twelve couples invited to dine with the newlyweds, Louis XVI and Marie Antoinette, in the Opéra of the Palace of Versailles, which had been constructed for the royal wedding.

The latter residence was bought by Louis XV in 1770 only to later end up as the site of the Odéon Theatre.

In 1770, his son married Bathilde d ' Orléans, daughter of Louis Philippe, Duke of Orléans and sister of Philippe Égalité.

On 24 April 1770, he married Bathilde d ' Orléans, only surviving daughter of Louis Philippe d ' Orléans, Duke of Orléans and Louise Henriette de Bourbon.