The Hudson Bay Company is incorporated.

The State of Virginia prohibits free blacks and Indians from keeping Christian (i.e. white) servants.

(no entry for this year)

Gottfried Wilhelm von Leibniz invents the Staffelwalze (stepped drum, or stepped reckoner), the first mechanical calculator that could perform all four mathematical operations. Its intricate precision gearwork, however, was somewhat beyond the fabrication technology of the time; mechanical problems, in addition to a design flaw in the carry mechanism, prevented the machines from working reliably. Despite the mechanical flaws, it suggested possibilities to future calculator builders. The operating mechanism, invented by Leibniz, called the stepped cylinder or Leibniz wheel, was used in many calculating machines for 200 years, and into the 1970s with the Curta hand calculator. In discussing his invention, Leibniz wrote Indignum enim est excellentium virorum horas servii calculandi labore perire, qui Machina adhibita vilissimo cuique secure transcribi posset — For it is unworthy of distinguished men to waste their time with slavish calculations, which can be done safely with the use of this machine by anyone else.

The Mississippi River is discovered.

New York declares that blacks who convert to Christianity after their enslavement will not be freed.

King Philip's War (sometimes called the First Indian War, Metacom's War, Metacomet's War, or Metacom's Rebellion) begins in New England. The war was an armed conflict between American Indian inhabitants of present-day New England and English colonists and their Indian allies in 1675–78. The war is named for Metacomet, the Wampanoag chief who adopted the English name Philip due to the friendly relations between his father and the Mayflower Pilgrims. The war continued in the most northern reaches of New England until the signing of the Treaty of Casco Bay in April 1678. The war was the single greatest calamity to occur in seventeenth century Puritan New England and is considered by many to be the deadliest war in the history of European settlement in North America in proportion to the population. In the space of little more than a year, twelve of the region's towns were destroyed and many more damaged, the colony's economy was all but ruined, and its population was decimated, losing one-tenth of all men available for military service. More than half of New England's towns were attacked by Indians. By early July, over 400 had surrendered to the colonists, and Metacomet took refuge in the Assowamset Swamp below Providence, close to where the war had started. The colonists formed raiding parties of militia and Indians. They were allowed to keep the possessions of warring Indians and received a bounty on all captives. Metacomet was killed by one of these teams when he was tracked down by Captain Benjamin Church and Captain Josiah Standish of the Plymouth Colony militia at Mount Hope in Bristol, Rhode Island. He was shot and killed by an Indian named John Alderman on August 12, 1676. After his death, his wife and nine-year-old son were captured and sold as slaves in Bermuda. Philip's head was mounted on a pike at the entrance to Fort Plymouth, where it remained for more than two decades. His body was cut into quarters and hung in trees. Alderman was given Metacomet's right hand as a reward.

In Virginia, black slaves and black and white indentured servants band together to participate in Bacon's Rebellion.

(no entry for this year)

The Treaty of Nijmegen ends various interconnected wars among France, the Dutch Republic, Spain, Brandenburg, Sweden, Denmark, the Prince-Bishopric of Münster, and the Holy Roman Empire.

The habeas corpus act is passed in England.