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Events of 1795
- January 14 – The University of North Carolina (renamed The University of North Carolina at Chapel Hill in 1963) opens to students, becoming the first state university in the United States.
- January 16 – The French occupy Utrecht, Netherlands.
- January 17 – Revolution breaks out in Amsterdam.
- January 19 – The Batavian Republic is proclaimed.
- January 20 – French troops enter Amsterdam.
- January 21 – The Dutch fleet, frozen in IJsselmeer, is captured by the French 8th Hussards.
- February 7 – The 11th Amendment to the United States Constitution is passed.
- April 7 – France adopts the metre as the unit of length.
- April 8 – George, Prince of Wales marries Caroline of Brunswick.
- May 1 – Battle of Nu'uanu: Kamehameha I of the Island of Hawaii defeats the Oahuans, solidifying his control of the major islands of the archipelago and officially founding the Kingdom of Hawaii.
- May 15 – First Coalition: Napoleon I of France enters Milan in triumph.
- May and June – The Battle of Richmond Hill is fought in the colony of New South Wales, between the Darug people and British colonial forces.
- June 5 – The Copenhagen fire of 1795 starts in a naval warehouse.
- June 7 – The Copenhagen fire of 1795 dies out after destroying 941 houses.
- June 8 – The Dauphin, would-be-Louis XVII, dies. Louis XVIII becomes titular king of France (he becomes actual king of France on April 6, 1814).
- June 28 – The French government announces that the heir to the French throne has died of illness (many doubt the statement).
- June 27
- July 25 – Construction of the Pontcysyllte Aqueduct in Wales begins.
- August 3 – The signature of the Treaty of Greenville puts an end to the Northwest Indian War.
- September 11 – The Persian army of Agha Mohammad Khan Qajar destroys the Georgian capital Tbilisi.
- September 21 – Battle of the Diamond: Protestant forces defeat Catholic troops in Loughgall, Ireland, leading to the foundation of the Orange Order.
- October 1 – Austrian Netherlands is annexed to the French Republic as the Belgian departments.
- October 5 – Royalist riots in Paris are crushed by troops under Paul Barras and newly reinstalled artillery officer Napoleon Bonaparte.
- October 24 – The Third Partition of Poland is made.
- October 27 – The United States and Spain sign the Treaty of Madrid, which establishes the boundaries between Spanish colonies and the United States.
- December 13 A meteorite falls at Wold Newton, a hamlet in Yorkshire in England. This meteorite fall is subsequently used as a literary premise by the science fiction writer Philip José Farmer as the basis for the Wold Newton family stories (see Wold Newton meteorite).