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==Jefferson and D'Hondt==
The Jefferson and the D'Hondt methods are equivalent. They always give the same results, but the methods of presenting the calculation are different.
The method was first described in 1792 by [[Thomas Jefferson]], in a letter to [[George Washington]] regarding the apportionment of seats in the [[United States House of Representatives]]:<ref name=":0" />▼
▲The method was first described in 1792 by Statesman and future US President [[Thomas Jefferson]], in a letter to [[George Washington]] regarding the apportionment of seats in the [[United States House of Representatives]] pursuant to the [[1790 United States Census|First United States Census]]:<ref name=":0" />
{{blockquote|For representatives there can be no such common ratio, or divisor which ... will divide them exactly without a remainder or fraction. I answer then ... that representatives [must be divided] as nearly as the nearest ratio will admit; and the fractions must be neglected.}}
It was also invented independently in 1878 in Europe, by Belgian mathematician [[Victor D'Hondt]],
{{blockquote|To allocate discrete entities proportionally among several numbers, it is necessary to divide these numbers by a common divisor, producing quotients whose sum is equal to the number of entities to be allocated.}}▼
▲{{blockquote|To allocate discrete entities proportionally among several numbers, it is necessary to divide these numbers by a common divisor, producing quotients whose sum is equal to the number of entities to be allocated.}}
▲The Jefferson and the D'Hondt methods are equivalent. They always give the same results, but the methods of presenting the calculation are different. [[George Washington]] exercised his first veto power on a bill that introduced a new plan for dividing seats in the House of Representatives that would have increased the number of seats for northern states.<ref>{{cite web | url=https://founders.archives.gov/documents/Madison/01-14-02-0233 | title=Founders Online: Proportional Representation, [22 March] 1792 }}</ref> Ten days after the veto, Congress passed a new method of apportionment, now known as Jefferson's Method. Statesman and future US President [[Thomas Jefferson]] devised the method in 1792 for the [[United States congressional apportionment|U.S. congressional apportionment]] pursuant to the [[1790 United States Census|First United States Census]]. It was used to achieve the proportional distribution of seats in the [[United States House of Representatives|House of Representatives]] among the states until 1842.<ref>{{cite web |url=http://www.maa.org/press/periodicals/convergence/apportioning-representatives-in-the-united-states-congress-jeffersons-method-of-apportionment |title=Apportioning Representatives in the United States Congress – Jefferson's Method of Apportionment |first=Michael |last=Caulfield |work=Mathematical Association of America |access-date=25 June 2017}}</ref>
▲[[Victor D'Hondt]] presented his method in his publication {{lang|fr|Système pratique et raisonné de représentation proportionnelle}}, published in Brussels in 1882{{Citation needed|date=January 2024}}.
The system can be used both for distributing seats in a legislature among states pursuant to populations or among parties pursuant to an election result. The tasks are mathematically equivalent, putting states in the place of parties and population in place of votes. In some countries, the Jefferson system is known by the names of local politicians or experts who introduced them locally. For example, it is known in [[Israel]] as the '''Bader–Ofer system'''.
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