[b]Proposition[/b]: [i]To find the area of a parabola section.[/i]
(Parabola Section: Draw any line which intersects the parabola at two points. There are now two regions interior to the curve. Choose the one with finite area.)
Solution of Archimedes.
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This is problem # 56 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics.[/i]