Definitions

from The Century Dictionary.

  • noun The locus of the point in which the straight through the center and the projection of a point of a circle on a fixed tangent are cut by the perpendicular from this point to the diameter from the contact point.
  • In mathematics, related to the lemniscate of Bernoulli.
  • In ichthyology, having a hyaline or transparent appearance and ribbonlike form; of or relating to the Lemniscati: as, a lemniscate fish.
  • noun In mathematics:
  • noun The locus of the point at which the tangent to an equilateral hyperbola meets the perpendicular let fall upon it from the center: a curve invented by James Bernoulli.
  • noun Any crunodal curve of the fourth order having only one real branch, and this finite and symmetrical with respect to two axes.
  • noun The locus of the point at which the tangent to a fixed conic is cut by a perpendicular let fall upon it from the center.
  • noun A Cassinian: a misapplication of the word originating in Germany.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun The infinity symbol ().
  • noun mathematics Any closed curve (similar to a figure eight) described by a Cartesian equation of the form .

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

From Latin lēmniscātus ("decorated with ribbons").

Examples

  • 'lemniscate', a particular modification of the so-called Cassinian curves. 2 1

    Man or Matter

  • Her gaze was caught on the glowing wand and lemniscate, and she thought of radiation.

    Rogue Oracle

  • Her gaze was caught on the glowing wand and lemniscate, and she thought of radiation.

    Rogue Oracle

  • A lemniscate, an infinity symbol, glowed above his head.

    Rogue Oracle

  • A lemniscate, an infinity symbol, glowed above his head.

    Rogue Oracle

  • You mentioned lemniscate periodic systems in one of your chemistry blogs.

    Table Manners

  • The one Ariel did recognize shone bright white in the center of the robot's upper torso, a lemniscate crossed by an arrow at an upward angle: the sign of the Managins.

    Mirage

  • Some projective-geometrical considerations concerning the lemniscate are to be found in the previously mentioned writings of G. Adams and L. L.cher-Ernst.

    Man or Matter

  • You have read, too, in _The Secret Doctrine, _ P.ofessor Crooke's theory, endorsed by H.P. Blavatsky, as to how the chemical elements were deposited by a spiral evolutive force, a creative impulse working outward in the form of a caduceus or lemniscate, or figure '8.'

    The Crest-Wave of Evolution A Course of Lectures in History, Given to the Graduates' Class in the Raja-Yoga College, Point Loma, in the College-Year 1918-19

  • About the epoch of maximum of sun-spots they are large and nearly circular, having the same character as the curves for the summer months; whilst about the time of sun-spot minimum they are small and lemniscate-shaped, with a striking resemblance to the curves for the winter months.

    Autobiography

Comments

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  • Describes a certain kind of figure-of-eight mathematical curve, an example of which is the infinity sign .

    The Latin root is lēmniscus, from the Greek λημνίσκος, lêmniskos, both referring to ribbons.

    November 28, 2007

  • Not to be confused with a loxodrome

    November 28, 2007

  • nor with Lissajou's figures.

    August 26, 2008

  • See: limaçon (Heart-like shape for Valentines Day)

    January 28, 2009

  • Erect he's the humble number eight

    But, privileged to help out the great,

    And supple and nimble,

    Reclines as a symbol,

    So toppled becomes the lemniscate.

    May 5, 2017