He determined in 1713 the sum of n terms of a finite series of the form

Following the Treaty of Utrecht in 1713, the territory of Knokke was annexed to the Netherlands, but the old border was reestablished at the Zwin a few years later.

Their migration to Gibraltar started since the beginning of the common British rule in 1713, thanks to the links between both British possessions during the 18th century, first looking for work in several trades, especially when Gibraltar needed to be rebuilt after the 1783 Grand Siege.

From 1479, it was ruled by the Kingdom of Spain until 1713 and between 1717 – 1718.

Palermo was also managed by Savoy between 1713 – 1717 and 1718 – 1720 and Austria between 1720 – 1734.

Under the weight of Cotes ' efforts, but impeded by priority disputes between Newton and Leibniz, and by troubles at the Mint, Cotes was able to announce publication to Newton on 30 June 1713.

At the Treaty of Utrecht, ending the War of the Spanish Succession in 1713, the Spanish Upper Quarter was again divided between Prussian Guelders ( Geldern, Viersen, Horst, Venray ), the United Provinces ( Venlo, Montfort, Echt ), Austria ( Roermond, Niederkrüchten, Weert ), and the Duchy of Jülich ( Erkelenz ).

* Treaty of Utrecht, a group of treaties in 1713, most notably one between France and Great Britain, that ended the War of the Spanish Succession (" Queen Anne's War ")

When Queen Anne's War ended, the town was selected by Governor Joseph Dudley to host negotiations for the 1713 Treaty of Portsmouth, which temporarily ended hostilities between the Abenaki Indians and English settlements of the Province of Massachusetts Bay and New Hampshire.

Signed in 1713, the Treaty of Portsmouth brought a truce between the Eastern ( Abenaki ) Indians and English settlements.

With the Treaty of Portsmouth in 1713, conflict was formally ended between the Abenaki Indians and English settlements.

It was under Spanish control from 1661, Austrian between 1713 and 1785 and French between 1795 and 1813.

Historian Paul Moon believes certain articles of the Treaty resemble the Treaty of Utrecht ( 1713 ), the British Sherbo Agreement ( 1825 ) and the Treaty between Britain and Soombia Soosoos ( 1826 ).

The oldest buildings, in the first quadrangle, date from the 16th and early 17th centuries ; a second quadrangle was added between about 1640 and about 1713, and a third quadrangle was built in about 1906.

The destruction of the Denver Sluice in 1713, caused by exceptional flood levels, was celebrated by the boatmen, but the resultant flooding led to the Corporation building a new sluice between 1748 and 1750.

In English non-dramatic literature the dialogue did not see extensive use until Berkeley employed it, in 1713, for his treatise, Three Dialogues between Hylas and Philonous.

Other major 18th century English novelists are Samuel Richardson ( 1689-1761 ), author of the epistolary novels Pamela, or Virtue Rewarded ( 1740 ) and Clarissa ( 1747-8 ); Henry Fielding ( 1707 – 54 ), who wrote Joseph Andrews ( 1742 ) and The History of Tom Jones, a Foundling ( 1749 ); Laurence Sterne ( 1713 – 68 ) who published Tristram Shandy in parts between 1759 and 1767 ; Oliver Goldsmith (? 1730-74 ) author of The Vicar of Wakefield ( 1766 ); Tobias Smollett ( 1721 – 71 ) a Scottish novelist best known for his comic picaresque novels, such as The Adventures of Peregrine Pickle ( 1751 ) and The Expedition of Humphry Clinker ( 1771 ), who influenced Charles Dickens ; and Fanny Burney ( 1752-1840 ), whose novels " were enjoyed and admired by Jane Austen ," wrote Evelina ( 1778 ), Cecilia ( 1782 ) and Camilla ( 1796 ).

Around 1713 Wotton also developed ideas concerning the relationship between languages introducing the concept of an early proto-language by relating Icelandic, the Romance languages and Greek.

The town was settled between 1710 and 1713 by Palatine Germans.

Louvois and his father, Michel le Tellier, would increase the French Army to 400, 000 soldiers, an army that would fight four wars between 1667 and 1713.

The Triple Alliance was a treaty between the Dutch Republic, France and Great Britain, against Spain, attempting to maintain the agreement of the 1713 Treaty of Utrecht.

* Edmund Dummer ( 1651 – 1713 ) Surveyor of the Navy, founder of the Royal Navy docks at Devonport, Plymouth, Member of Parliament for Arundel and founder of the first packet service between Falmouth, Cornwall and the West Indies, died a bankrupt in Fleet debtors ' prison.

His son was the aforementioned second Baron, who notably served as Secretary of State for the Southern Department between 1710 and 1713.

They employed between 1713 and 1716 the celebrated architect Johann Lukas von Hildebrandt to build their residence the Palais Kinsky in Vienna, which remained in the family's ownership until 1987.

* Triple Alliance ( 1717 ); a treaty between the Dutch Republic, France and Great Britain, against Spain, attempting to maintain the agreement of the 1713 Treaty of Utrecht ;

According to the 1911 Encyclopædia Britannica, the first vessel called a schooner was built by builder Andrew Robinson and launched in 1713 from Gloucester, Massachusetts.

View of the Old State House ( Boston ) | Old State House, Boston, Massachusetts, the seat of British colonial government from 1713 to 1776.

The largest and most central house of this settlement, it served as the local garrison house for protection from Indian raids made along the Massachusetts frontier during Queen Anne's War of 1702 – 1713.

In 1713, in response to petitions initiated in 1703 by Abigail Faulkner Sr. and Sarah Wardwell, Massachusetts Governor Joseph Dudley reversed the attainder on the names of those who were convicted in the episode.

Cotton is named on a stone in King's Chapel Burying Ground in Boston, Massachusetts, which also names early First Church ministers John Davenport ( d. 1670 ), John Oxenbridge ( d. 1674 ) and Thomas Bridge ( d. 1713 ).

Leverett acted as an Indian commissioner from Massachusetts during Queen Anne's War ( 1701 – 1713 ).

The Boston Bread Riot was the last of a series of three riots by the poor of Boston, Massachusetts, between 1710 and 1713, in response to food shortages and high bread prices.

Some place his birth as early as 1706 in Stonington, Connecticut ; others insist that he was born in 1713, and after his parents had moved to Hopewell Township, New Jersey in what was then Hunterdon County ( now part of Mercer County ).

In order to clear his name, he wrote " Exact Description of Louisiana, of Its Harbors, Lands and Rivers, and Names of the Indian Tribes That Occupy It, and the Commerce and Advantages to Be Derived Therefrom for the Establishment of a Colony " in 1713 followed in 1714 by " The Route to Be Taken to Ascend the Missouri River.

Prince Eugene's Italian manuscript had been presented to him in 1713 by John Frederick Cramer ; and was transferred to the Austrian National Library in Vienna in 1738 with the rest of his library.

Hutton inherited from his father the Berwickshire farms of Slighhouses, a lowland farm which had been in the family since 1713, and the hill farm of Nether Monynut.

Treaty of Utrecht of 1713, which ended the Spanish War of Succession ( 1701 – 1714 ), had an additional clause ( the Asiento ) that granted Britain ( among other things ) the exclusive rights over the shipment of captured Africans across the Atlantic.

Nova Scotia, which had been captured from France in 1713, still had a significant French-speaking population.

Starting in 1713, Rogers had conceived the idea of leading an expedition to Madagascar to suppress the pirates there and establish it as a British colony.

Between 1544 and 1713 / 20 the ducal reign had become a condominium, with the royal House of Oldenburg and its cadet branch House of Holstein-Gottorp jointly holding the stake.

Maria Theresa replaced Maria Josepha as heiress presumptive to the Habsburg realms the moment she was born ; Charles VI had issued the Pragmatic Sanction of 1713 which had placed his nieces behind his own daughters in the line of succession.

The sultan put an end to the generous hospitality granted and had the king arrested in what became known as the " kalabalik " in 1713.

Rule 4 made its appearance in the third ( 1726 ) edition ; Rules 1-3 were present as ' Rules ' in the second ( 1713 ) edition, and predecessors of them were also present in the first edition of 1687, but there they had a different heading: they were not given as ' Rules ', but rather in the first ( 1687 ) edition the predecessors of the three later ' Rules ', and of most of the later ' Phenomena ', were all lumped together under a single heading ' Hypotheses ' ( in which the third item was the predecessor of a heavy revision that gave the later Rule 3 ).

The system of public finance that had been the envy of the world in its Golden Age, enabling it to throw far beyond its weight in world politics up to the Peace of Utrecht in 1713, had become a millstone around its neck.

By 1713 the public debt of the province of Holland had reached 310 million guilders ; the debt of the Generality was 68 million ; and the debts of the smaller provinces, and of the cities came on top of this.

The complications involved in a female Habsburg ruler had been long foreseen, and Charles VI had persuaded most of the states of Germany to agree to the Pragmatic Sanction of 1713.

During Queen Anne's War ( 1702 to 1713 ), the British Conquest of Acadia occurred in 1710, resulting in Nova Scotia, other than Cape Breton, being officially ceded to the British by the Treaty of Utrecht including Rupert's Land, that had been conquered by France in the late 17th century ( Battle of Hudson's Bay ).

From 1713 he also began to establish his own navy based on the limited Sicilian naval forces he had been granted.

In the three years from 1713 to 1715 he produced three novels -- Effets surprenants de la sympathie ; La Voiture embourbée, and a book which had three titles -- Pharsamon, Les Folies romanesques, and Le Don Quichotte moderne.

More than the Peace of Westphalia, the Treaty of Utrecht of 1713 is thought to reflect an emerging norm that sovereigns had no internal equals within a defined territory and no external superiors as the ultimate authority within the territory's sovereign borders.

Joseph Latham was deeded the land that includes present-day Dover in 1713, from portions of land that had been purchased from Native Americans by the Proprietors of West Jersey.

Sarah joined him in February 1713, and was delighted when on reaching Frankfurt in the middle of May to see that the troops under Eugene's command paid her lord'all the respects as if he had been at his old post '.

Handel's reputation in England, where he had lived since 1713, had been established through his compositions of Italian opera.

In 1713, the Treaty of Utrecht concluded the War of the Spanish Succession ( 1701 – 14 ) and reduced the political and military power of Spain, which the House of Bourbon had ruled since 1700.