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A
backwater
The word pit best describes it.
The term that best describes a proof in which you assume the opposite of what you want to prove is 'indirect proof'.
A rectangle.
Yes, Archimedes is best known for his principle that is Archimedes' principle ( or the law of buoyancy )
Eratosthenes
an approach that includes the influence of technological development on art
Archimedes (his owl)
Humans
A record of observations of the world
It demonstrated the potential energy contained in matter.
a person who learns about the world by observing it.
angst
Strongest in the world.
Black voters lost influence in politics.
exerting American foreign policy influence through business