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Mathematical Communications, Vol. 4 No. 2, 1999.

Original scientific paper

Absolute polarity on the sphere; conics; loxodrome, tractrix

H. Dirnböck

Full text: english pdf 352 Kb

page 225-240

downloads: 1.042

cite

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

https://hrcak.srce.hr/876

Publication date:

11.12.1999.

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