Introduzione ad una teoria geometrica delle curve piane

work by Cremona

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June 29, 2026

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"Introduzione ad una teoria geometrica delle curve piane" (1862) by Luigi Cremona is a foundational work in the study of plane curves using geometric transformations. Cremona, a proponent of the Steinerian school of geometry, introduced rules for associating points in a plane with other points within the same space. This paper is considered his most significant contribution and established his reputation. The work explores how geometric figures can be transformed, laying groundwork for further advancements in the field of geometry and the study of curves.12

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Luigi Cremona
…Bologna in 1860, he published “Introduzione ad una teoria geometrica delle curve piane” (1862; “Introduction to a Geometrical Theory of the Plane Curve”), his first paper on transformations (rules that associate with every point in a space one or more points in the same space) in planes and in space.…
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…Bologna in 1860, he published “Introduzione ad una teoria geometrica delle curve piane” (1862; “Introduction to a Geometrical Theory of the Plane Curve”), his first paper on transformations (rules that associate with every point in a space one or more points in the same space) in planes and in space.…
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