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

Captain James Cook was a British Royal Navy officer, explorer, and cartographer who led three important voyages of exploration to the Pacific and Southern Oceans between 1768 and 1779. He completed the first recorded circumnavigation of the main islands of New Zealand, and was the first European to visit the east coast of Australia and the Hawaiian Islands.

Great Britain, also known as the Kingdom of Great Britain, was a sovereign state in Western Europe from 1707 to the end of 1800. The state was created by the 1706 Treaty of Union and ratified by the Acts of Union 1707, which united the Kingdom of England and the Kingdom of Scotland to form a single kingdom encompassing the whole island of Great Britain and its outlying islands, with the exception of the Isle of Man and the Channel Islands. The unitary state was governed by a single parliament at the Palace of Westminster, but distinct legal systems—English law and Scots law—remained in use, as did distinct educational systems and religious institutions, namely the Church of England and the Church of Scotland remaining as the national churches of England and Scotland respectively.

New South Wales is a state on the east coast of Australia. It borders Queensland to the north, Victoria to the south, and South Australia to the west. Its coast borders the Coral and Tasman Seas to the east. The Australian Capital Territory and Jervis Bay Territory are enclaves within the state. New South Wales' state capital is Sydney, which is also Australia's most populous city. In December 2024, the population of New South Wales was over 8.5 million, making it Australia's most populous state. Almost two-thirds of the state's population, 5.3 million, live in the Greater Sydney area.