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Absolute polarity on the sphere; conics; loxodrome, tractrix

H. Dirnböck


Puni tekst: engleski pdf 352 Kb

str. 225-240

preuzimanja: 1.048

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Sažetak

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.

Ključne riječi

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

Datum izdavanja:

11.12.1999.

Posjeta: 1.856 *