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Von Staudt showed how to construct a regular inscribed polygon of 17 sides using only compasses. He turned to projective geometry and Bernoulli (Jacob Bernoulli) numbers. An important work on projective geometry, Geometrie der Lage was published in 1847. It was the first work to completely free projective geometry from any metrical basis. Another of his publications on projective geometry was Beiträge zur Geometrie der Lage (1856-60). He also gave a nice geometric solution to quadratic equations.
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