Twenty-second Amendment to the United States Constitution
Some argue that the 22nd Amendment and 12th Amendment bar any two-term president from later serving as vice president as well as from succeeding to the presidency from any point in the presidential line of succession. Others contend that the original intent of the 12th Amendment concerns qualification for "service" (age, residence, and citizenship), while the 22nd Amendment, concerns qualifications for "election", and thus (strictly applying the text) a former two-term president is still eligible to "serve" as vice president (neither amendment restricts the number of times an individual can be elected to the vice presidency), and then succeed to the presidency to serve out the balance of the term (though prohibited from running for election to an additional term).
Presidency of Dwight D. Eisenhower
Under the original constitutional rules governing the Electoral College, presidential electors were apportioned to states only. As a result, the District of Columbia was excluded from the presidential election process. Several constitutional amendments to provide the district's citizens with appropriate rights of voting in national elections for president and vice president were introduced in Congress during the 1950s. Eisenhower was a persistent advocate for the voting rights of D.C. residents. On June 16, 1960, the 86th Congress approved a constitutional amendment extending the right to vote in presidential election to citizens residing in the District of Columbia by granting the district electors in the Electoral College, as if it were a state. After the requisite number state legislatures ratified the proposed amendment, it became the Twenty-third Amendment to the United States Constitution on March 29, 1961.