Using number theory, Gauss proposed an algebraic solution to the geometric problem of creating a polygon of n sides. Gauss proved the possibility by constructing a regular 17 sided polygon into a circle using only a straight edge and compass. Barely 30 years old, already having made landmark discoveries in geometry, algebra, and number theory Gauss was appointed director of the Observatory at Gottingen...
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In 1801, Gauss turned his attention to astronomy and applied his computational skills to develop a technique for calculating orbital components for celestial bodies, including the asteroid Ceres. His methods, which he describes in his book Theoria Motus Corporum Coelestium, are still in use today...
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