Number Theory and Modern Algebra

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The book explores the mathematical properties of a regular 17-gon, focusing on deriving the x-coordinate of its first vertex in the upper half plane. It presents two distinct formulas: one rooted in Gauss's work and another derived through a more elementary approach involving the trigonometric addition theorem and innovative reasoning. Detailed explanations of this second method can be found on pages 175 to 180, highlighting its accessibility and ingenuity.