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Una interpretazione delle corrispondenze per raggi vettori reciproci nel piano. - MaRDI portal

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Una interpretazione delle corrispondenze per raggi vettori reciproci nel piano. (Q1531026)

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scientific article; zbMATH DE number 2688281
Language Label Description Also known as
English
Una interpretazione delle corrispondenze per raggi vettori reciproci nel piano.
scientific article; zbMATH DE number 2688281

    Statements

    Una interpretazione delle corrispondenze per raggi vettori reciproci nel piano. (English)
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    1891
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    Anschliessend an eine Abhandlung von Porchiesi (Atti dell'Accademia di Bologna), woselbst die Correspondenz zwischen den dreifach unendlich vielen Kreisen der Ebene und den \(\infty^3\) Satz, dass bei dieser Repräsentation der Kreise durch die Punkte des Raumes die Abbildung mittels reciproker Radien in der Ebene in eine harmonische Verwandtschaft im Raume übergeht, deren Centrum und Involutionsebene ein Punkt und seine Polarebene in dem Polarsystem derjenigen Fläche zweiten Grades sind, auf welcher alle Punkte liegen, die den Kreisen vom Radius Null entsprechen.
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