Kahekili invades O`ahu, conquers Kahahana in the battle at Kaheiki, and assumes the sovereignty of O`ahu.

In the war of Kauaawa, Kamehameha fights Keawema`uhili of Hilo, at Pua`aloa near Panaewa. Kamehameha is defeated and retreats to Laupahoehoe.

Following an attack on his person, Kamehameha establishes Mamalahoa Kanawai (law of the broken paddle) to protect the weak, young, aged, helpless, travelers and all those in need, including the concept of amnesty and non-retribution.

John Ledyard publishes A Journal of Captain Cook's Last Voyage to the Pacific Ocean, the first description of the voyage published in America.

First manned hot air balloon flight demonstrated.

Mathematician and philosopher Jean le Rond d'Alembert dies.

Noah Webster publishes The American-Spelling Book, highlighting differences between American and British English.

Antoine Laurent Lavoisier creates water from hydrogen and oxygen.