Original scientific paper
Absolute polarity on the sphere; conics; loxodrome, tractrix
H. Dirnböck
Abstract
Elements in the bundle and on the sphere, distance, angle and absolute polarity are explained.
The spherical conic has an absolute polar conic, they are equidistant to each other; they have the same evolute curve. The well-known focus-properties are absolutely polarized.
The loxodrome and the spherical evolute curve are presented. Polarizing the loxodrome there results a spherical tractrix. Kinematic generation of these curves is shown.
Keywords
bundle, sphere, absolute polarity; spherical conic, loxodrome, spherical tractrix; spherical evolute curve, equidistant curves; kinematic generation
Hrčak ID:
876
URI
Publication date:
11.12.1999.
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