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Archimedes: Figures
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Was Archimedes using the Stomachion to form such figures? The historian Dr. Reviel Netz has concluded, the prevailing wisdom was based on a misinterpretation. Archimedes was not trying to piece together strips of paper into different shapes; he was trying to see how many ways the 14 irregular strips could be used to form a square.
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In this book, Archimedes calculates the area of a segment of a parabola (the figure delimited by a parabola and a secant line not necessarily perpendicular to the axis). The final answer is obtained by triangulating the area and summing the geometric series with ratio 1/4.
Archimedes is often described as being absentminded, self-absorbed, and somewhat eccentric. Despite these personal attributes, he was recognized in his own time as a genius, and is revered today as one of the greatest figures in the history of science and mathematics.
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