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In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...
The work of numerous mathematicians culminated in the discovery of hyperbolic geometry; today, thanks to virtual reality, it is possible to glimpse it beyond its formulas ...
Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...