Local singularities of chord sets
In the present paper, we classify the local singularities of chord sets, i.e., of the envelopes of two-parameter families of straight lines connecting pairs of points on two smooth curves in ℝ 3 ; we also present geometric criteria for the chord set to have a given local singularity.
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| Veröffentlicht in: | Mathematical Notes 2008-02, Vol.83 (1-2), p.257-273 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In the present paper, we classify the local singularities of chord sets, i.e., of the envelopes of two-parameter families of straight lines connecting pairs of points on two smooth curves in ℝ
3
; we also present geometric criteria for the chord set to have a given local singularity. |
|---|---|
| ISSN: | 0001-4346 1573-8876 |
| DOI: | 10.1134/S0001434608010276 |