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A Miquel-Steiner Transformation
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Svaki potpuni četverokut ima tri Miquel-Steinerove točke. Bilo koji trokut zajedno s po volji odabranom točkom koja ne leži na stranicama trokuta također definira potpuni četverokut, pa stoga ova točka određuje tri Miquel-Steinerove točke. Te tri Miquelove točke tvore trokut koji je perspektivan polaznom trokutu. Preslikavanje koje točki pridružuje jedinstveno definirano središte perspektiviteta je kvadratna neinvolutivna Cremonina transformacija koju ćemo zvati Miquel-Steinerova transformacija. Proučavat ćemo djelovanje Miquel-Steinerove transformacije i njen inverz.
Title: A Miquel-Steiner Transformation
Description:
Svaki potpuni četverokut ima tri Miquel-Steinerove točke.
Bilo koji trokut zajedno s po volji odabranom točkom koja ne leži na stranicama trokuta također definira potpuni četverokut, pa stoga ova točka određuje tri Miquel-Steinerove točke.
Te tri Miquelove točke tvore trokut koji je perspektivan polaznom trokutu.
Preslikavanje koje točki pridružuje jedinstveno definirano središte perspektiviteta je kvadratna neinvolutivna Cremonina transformacija koju ćemo zvati Miquel-Steinerova transformacija.
Proučavat ćemo djelovanje Miquel-Steinerove transformacije i njen inverz.
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