Editing 1796 (section)

=== July–September ===
* [[July 10]] – [[Carl Friedrich Gauss]] discovers that every positive integer is representable as a sum of at most 3 [[triangular number]]s.
* [[July 11]] – The United States takes possession of [[Detroit]] from Great Britain, under the terms of the [[Jay Treaty]].
* [[July 21]] – [[Mungo Park (explorer)|Mungo Park]] reaches [[Ségou]], the capital of the [[Bamana Empire]].
* [[July 22]] – Surveyors of the [[Connecticut Land Company]] name an area in [[Ohio]] ''[[Cleveland]]'', after [[General officer|Gen.]] [[Moses Cleaveland]], the [[Superintendent (construction)|superintendent]] of the surveying party.
* [[July 29]] – The [[Imperial and Royal Army during the Napoleonic Wars|Habsburg army]] under [[Dagobert Sigmund von Wurmser|Marshal Wurmser]] advances from the [[Alps]], and captures [[Rivoli Veronese|Rivoli]] and [[Verona]]. The French abandon the east bank of the [[Mincio|Mincio River]], the outnumbered division (15,000 men) of [[André Masséna|Masséna]] retreats towards [[Lake Garda]].
* [[August 4]] – [[French Revolutionary Wars]]: [[Battle of Lonato]] – The [[Army of Italy (France)|French Army of Italy]] under Napoleon crushes an Austrian brigade.
* [[August 5]] – [[French Revolutionary Wars]]: [[Battle of Castiglione]] – The French Army of Italy under Napoleon defeats the Habsburg army (25,000 men) under Marshal Wurmser, who thus fails to break the [[Siege of Mantua (1796–97)]], and is forced to retreat north up the [[Adige|Adige Valley]].
* [[August 9]] – The [[Wearmouth Bridge (1796)|Wearmouth Bridge]] in England, designed by [[Rowland Burdon (died 1838)|Rowland Burdon]] in [[cast iron]], opens to traffic. Its span of {{convert|72|m|ft|abbr=on}} makes it the world's longest single-span vehicular bridge extant at this date.<ref>{{cite book|last=Tyrrell|first=Henry Grattan|url=https://archive.org/details/historybridgeen00tyrrgoog|quote=210. The Sunderland bridge over the Wear at Wearmouth.|title=History of Bridge Engineering|publisher=Published by the author.|pages=[https://archive.org/details/historybridgeen00tyrrgoog/page/n159 153]–154|location=Chicago|year=1911|access-date=2011-08-16}}</ref><ref>{{cite book|first=Leonardo Fernández|last=Troyano|title=Bridge Engineering: a Global Perspective|publisher=Thomas Telford Publishing|location=London|year=2003|isbn=0-7277-3215-3|page=49}}</ref><ref>{{cite web|work=Wearside Online|title=Sunderland Wearmouth Bridge|url=http://www.wearsideonline.com/Sunderland_Wearmouth_Bridge.html|access-date=2011-08-16|url-status=dead|archive-url=https://web.archive.org/web/20111127114349/http://www.wearsideonline.com/sunderland_wearmouth_bridge.html|archive-date=November 27, 2011|df=mdy-all}}</ref>
* [[August 10]] – A mob of peasants overtakes the [[Convent of St. Peter (Bludenz, Austria)]] and murders [[Ignaz Anton von Indermauer]].
* [[August 19]] – [[Second Treaty of San Ildefonso]]: Spain and France form an alliance against Great Britain.
* [[September 2]] – [[Jewish emancipation]] in the [[Batavian Republic]] (Netherlands).
* [[September 8]] – [[French Revolutionary Wars]]: [[Battle of Bassano]] – French forces (20,000 men) under [[André Masséna]] defeat the Austrians in [[Veneto]]. Wurmser retreats towards [[Vicenza]] with just 3,500 men of his original 11,000 left to him.
* [[September 9]] – [[French Revolutionary Wars]]: [[Action of 9 September 1796]] – A naval engagement between French and British squadrons off [[Sumatra]] ends inconclusively.
* [[September 9]] – [[Grenelle camp affair]], a failed uprising by supporters of [[Gracchus Babeuf]] against the [[French Directory]]
* [[September 15]] – [[Siege of Mantua (1796–97)|Siege of Mantua]]: Napoleon Bonaparte fights a pitched battle at [[Siege of Mantua (1796–97)#Second relief|La Favorita]] on the east side of the Mincio River. The Austrians withdraw into the fortress of [[Mantua]], which is crowded with nearly 30,000 men. Within six weeks, 4,000 die from wounds or sickness.<ref>Boycott-Brown, p. 438.</ref>
* [[September 17]] – U.S. President [[George Washington]] issues his ''[[George Washington's Farewell Address|Farewell Address]]'', which warns against partisan politics and foreign entanglements.  In addition, he sets a precedent by declining to run for a third term.  <ref name="Harper1796"/>
* [[September 28]] – Empress [[Catherine the Great]] signs an agreement with Great Britain, formally joining Russia to the coalition.