What does horocyclic mean?
Definitions for horocyclic
horo·cyclic
This dictionary definitions page includes all the possible meanings, example usage and translations of the word horocyclic.
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Wiktionary
horocyclicadjective
Relating to a set of points that are all equidistant (keeping other coordinates constant) from some constant point.
In two-dimensional Euclidean geometry using a polar coordinate system, horocyclic flow is either the circular convergence toward or away from a point or the rotational flow around a point.
Wikipedia
horocyclic
In hyperbolic geometry, a horocycle (from Greek ὅριον (hórion) 'border', and κύκλος (kúklos) 'circle'), sometimes called an oricycle, oricircle, or limit circle, is a curve whose normal or perpendicular geodesics all converge asymptotically in the same direction. It is the two-dimensional case of a horosphere (or orisphere). The centre of a horocycle is the ideal point where all normal geodesics asymptotically converge. Two horocycles who have the same centre are concentric. Although it appears as if two concentric horocycles cannot have the same length or curvature, in fact any two horocycles are congruent. A horocycle can also be described as the limit of the circles that share a tangent in a given point, as their radii go towards infinity. In Euclidean geometry, such a "circle of infinite radius" would be a straight line, but in hyperbolic geometry it is a horocycle (a curve). From the convex side the horocycle is approximated by hypercycles whose distances from their axis go towards infinity.
Numerology
Chaldean Numerology
The numerical value of horocyclic in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of horocyclic in Pythagorean Numerology is: 3
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"horocyclic." Definitions.net. STANDS4 LLC, 2024. Web. 26 Dec. 2024. <https://www.definitions.net/definition/horocyclic>.
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