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Gino Fano (5 January 18718 November 1952) was an Italian mathematician, best known as the founder of the finite geometry. He was born in Mantua, Italy and died in Verona, Italy. Fano made various contributions on projective and algebraic geometry. His work in the foundations of geometry predates the similar, but more popular, work of David Hilbert by about a decade. Ugo Fano and Robert Fano were his sons. Fano is an early pioneer in the area of finite projective spaces. In his article on proving the independence of his set of axioms for projective ''n''-space, among other things, he considered the consequences of having a fourth harmonic point be equal to its conjugate. This leads to a configuration of seven points and seven lines contained in a finite three-dimensional space with 15 points, 35 lines and 15 planes, in which each line contained only three points.〔 All the planes in this space consist of seven points and seven lines and are now known as Fano planes: Fano goes on to describe finite projective spaces of arbitrary dimension and prime orders. In 1907 Gino Fano contributed two articles to Part III of Klein's encyclopedia. The first (SS. 221–88) was a comparison of analytic geometry and synthetic geometry through their historic development in the 19th century. The second (SS. 282–388) was on continuous groups in geometry and group theory as a unifying principle in geometry.〔 〕 ==Notes== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Gino Fano」の詳細全文を読む スポンサード リンク
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