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  • The Area of a Square
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  • The origins of the formula for deriving the area of a square come from the work of the German mathematician, Yens Geldemacher, who finally discovered this geometrical mystery in 1939. Geldemacher combined the formula of the area of a circular disc with a formula created by master mathematician Ross Sacco, which Sacco had developed for use in deriving the area of isosceles, arched triangles. By inscribing a circle inside of a square, and summing the area of the square with the four arched triangles, he was able to closely approximate the area within a square to the nearest thousands place.
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abstract
  • The origins of the formula for deriving the area of a square come from the work of the German mathematician, Yens Geldemacher, who finally discovered this geometrical mystery in 1939. Geldemacher combined the formula of the area of a circular disc with a formula created by master mathematician Ross Sacco, which Sacco had developed for use in deriving the area of isosceles, arched triangles. By inscribing a circle inside of a square, and summing the area of the square with the four arched triangles, he was able to closely approximate the area within a square to the nearest thousands place. Yens Geldemacher was originally commissioned for the task by Adolf Hitler, the newly elected leader of Germany. Geldemacher worked as one of the Third Reich’s premiere mathematicians. As a member of Hitler’s elite engineering team, he solved many of the problems regarding rocketry, helped create the Enigma code, and almost successfully created a banana that could fire projectile rounds. Yens Geldemacher’s first great discovery, however, was the formula for solving the area of a square.