While explaining to a friend analyst that a theorem about circle inversion that he used could be proved with synthetic geometry, I stumbled upon a new to me construction of the inverse of a point with respect to a circle. In this snapshot I describe episodes from this discovery process, faithfully to how they played out in time, highlighting the main ways in which I used dynamic geometry as a research tool.
How I stumbled upon a new (to me) construction of the inverse of a point
BACCAGLINI-FRANK, ANNA ETHELWYN
2016-01-01
Abstract
While explaining to a friend analyst that a theorem about circle inversion that he used could be proved with synthetic geometry, I stumbled upon a new to me construction of the inverse of a point with respect to a circle. In this snapshot I describe episodes from this discovery process, faithfully to how they played out in time, highlighting the main ways in which I used dynamic geometry as a research tool.File in questo prodotto:
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DEME_Inversion_postprint.pdf
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DEME_inversion point-PREproof.pdf
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