Abstract
In accordance with H. R. Müller [3] we understand under a curve of constant slope in the elliptic 3-space an isogonal trajectory of the generators of an arbitrary Clifford cylinder. Using linegeometric methods in a special projective model, we study in particular those curves of constant slope, whose tangents form also a constant angle with a fixed plane. Thereby we meet with well-known classes of curves in the Euclidean space, such as spherical involutoids and tractrices of circles and loxodromes on a torus.
Translated title of the contribution | Curves of constant slope in elliptic 3-space |
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Original language | German |
Pages (from-to) | 315-320 |
Number of pages | 6 |
Journal | Monatshefte für Mathematik |
Volume | 99 |
Issue number | 4 |
DOIs | |
State | Published - Dec 1985 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics