Document JFM 18.0576.01

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Note on space divisions. (English) JFM 18.0576.01

Newcomb Am. J. VIII, 127-131 (1886).

\(n\) unbegrenzte Strahlen teilen eine Ebene in \(\frac 12 n(n-1)+1\) Polygone. Diese sind: ein \(n\)-Seit, \(\frac 12n(n-3)\) Vierseite und \(n\) Dreiseite, wenn die \(n\) Strahlen ein \(n\)-Eck bilden. Diese Betrachtungsweise wird weiter verfolgt, und auf die Teilung des Raums durch Ebenen übertragen.

Reviewer: Schubert, Prof. (Hamburg)

JFM Section:

Achter Abschnitt. Reine, elementare und synthetische Geometrie. Capitel 5. Neuere synthetische Geometrie. C. Besondere räumliche Gebilde.

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