The main purpose of both documents is to assert the rights and freedoms of the people to form their own governments -- governments which will protect their rights as citizens.
Historical context:
The Declaration of Independence (1776) asserted the American colonies' decision to break away from British government. It included the same Enlightenment ideals of natural rights and liberties that would characterize the Declaration of the Rights of Man and Citizen produced later (1789) in France.
The Declaration of the Rights of Man and the Citizen is a fundamental document of the French Revolution, which was written by Abbé Sieyès and the Marquis de Lafayette. Abbé Sieyès was a prominent clergyman in France who supported the rights of the common people. The Marquis de Lafayette was a member of the nobility who had fought in America's war for independence against Britain. Their document was written in consultation with Thomas Jefferson of the United States, who had drafted the Declaration of Independence.
The U.S. manage to expand its territory across the continent through treaty agreement and territory purchase which is evident in Louisiana purchase.
In 1803, the U.S. was able to extend in double to its original territories through the Louisiana Purchase of 1803.
- Louisiana Purchase entails acquisition of the Louisiana territory from Napoleonic France in the year 1803.
- The Purchase of the territory brought into U.S. about 828,000 square miles of territory, thereby, doubling the size of the country.
In conclusion, the U.S. manage to expand its territory across the continent through treaty agreement and territory purchase which is evident in Louisiana purchase.
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Created a Domino effect of other Countries Declaring their independence.