HYPERBOLIC SPIRAL

Definition: HYPERBOLIC SPIRAL

HYPERBOLIC SPIRAL

1. (Math.), a spiral curve, the law of which is, that the distance from the pole to the generating point varies inversely as the angle swept over by the radius vector.

Source: Webster's Revised Unabridged Dictionary (1913)

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A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. It has the polar equation rθ = a, and is the inverse to the Archimedean spiral.

Hyperbolic spiral, for a=2.

It begins at an infinite distance from the pole in the centre, it winds faster and faster around as it approaches the pole, the distance from any point to the pole, following the curve, is infinite. The following is a parametric representation in Euclidean coordinates:

x = a/t cos t

y = a/t sin t

where t is a parameter. It has an asymptote at y = a.

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "a-b-c-e-h-i-i-l-l-o-p-p-r-r-s-y"
	-4 letters: hyperbolical.
	-5 letters: biophysical, episcopally, spherically.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.

Hexadecimal (or equivalents, 770AD-1900s) (references)

48 59 50 45 52 42 4F 4C 49 43 53 50 49 52 41 4C

Leonardo da Vinci (1452-1519; backwards) (references)

Binary Code (1918-1938, probably earlier) (references)

01001000 01011001 01010000 01000101 01010010 01000010 01001111 01001100 01001001 01000011 00100000 01010011 01010000 01001001 01010010 01000001 01001100

HTML Code (1990) (references)

&#72 &#89 &#80 &#69 &#82 &#66 &#79 &#76 &#73 &#67 &#32 &#83 &#80 &#73 &#82 &#65 &#76

ISO 10646 (1991-1993) (references)

0048 0059 0050 0045 0052 0042 004F 004C 0049 0043 0053 0050 0049 0052 0041 004C

Encryption (beginner's substitution cypher): (references)

425950395236494643372535043523546

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HYPERBOLIC SPIRAL

Definition: HYPERBOLIC SPIRAL