On the loci of the lines incident with \(k(r-2)\)-spaces in \(S_r\). (Q1442434)
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scientific article; zbMATH DE number 2578363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the loci of the lines incident with \(k(r-2)\)-spaces in \(S_r\). |
scientific article; zbMATH DE number 2578363 |
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On the loci of the lines incident with \(k(r-2)\)-spaces in \(S_r\). (English)
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1928
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Mit Hilfe des in der vorstehend referierten Note bewiesenen Satzes leitet Verf. die bekannte Formel \[ N_r=\frac{(2r-2)!}{r!(r-1)!} \] für die Anzahl der Geraden, die \(2r-2\) gegebene \((r-2)\)-dimensionale Räume im \(r\)-dimensionalen Raum treffen, sowie den geometrischen Ort von \(\infty^{2r2-k}\) Geraden her, die in \(k\) gegebenen \((r-2)\)-dimensionalen Räumen des \(r\)dimensionalen Raumes \((r<k \leqq 2r-2)\) gelegen sind.
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