Regular Polygons, Volume I: Applied New Theory of Trisection to Construct a Regular Heptagon for Centuries in the History of Mathematics

Volume I contains five chapters from revisiting the New Theory of Trisection to heptasection and regular heptagon, including tetrasection and regular tetragon, pentasection and regular pentagon, and hexasection and regular hexagon. The most achievement of Chen's work is to construct a regular heptagon by heptasecting a right central angle in a defined circle and following a pattern method of constructing a regular triangle, tetragon, pentagon, and hexagon. As a result, in Volume I, Chen has laid down a solid foundation for constructing an n-section or a regular n-gon (n [greater than or equal] 3; n is a natural number) in the future our exploring topics which are showing in the appendix of this Volume I.