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How did the Federalists and Jeffersonian Republicans differ in their opinion of how the Constitution should be interpreted?

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The Jeffersonian Republicans supported a strong constitution, while the Federalists supported broad constructionism. Thomas Jefferson was the leader of the Jeffersonian Republicans. He, and James Madison defended the Jeffersonian Republicans while they were in office.
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For more information, check these sites.

http://library.thinkquest.org/11572/creation/framing/feds.html

http://en.wikipedia.org/wiki/Democratic-Republican_Party_(United_States)