lemniscate (Meaning)
lemniscate (n)
any of several plane algebraic curves in the shape of a figure eight
lemniscate (n.)
A curve in the form of the figure 8, with both parts symmetrical, generated by the point in which a tangent to an equilateral hyperbola meets the perpendicular on it drawn from the center.
Synonyms & Antonyms of lemniscate
No Synonyms and anytonyms found
lemniscate Sentence Examples
- The lemniscate loop emerged as a captivating mathematical construct, symbolizing infinity and symmetry.
- The equation of the lemniscate, x^2 + y^2 = a^2/(1 + cos(2θ)), defines its unique figure-eight shape.
- The lemniscate's focal points lie on the x-axis, separated by a distance of 2a.
- The area enclosed by the lemniscate is given by πa^2/2, while its perimeter cannot be expressed in elementary functions.
- The lemniscate arises in diverse fields, including geometry, electromagnetism, and acoustics.
- Bernoulli's lemniscate, named after the renowned mathematician, is a variation where the exponent of cos(2θ) differs.
- The lemniscate is a fascinating curve that exhibits an intriguing relationship with the exponential function.
- In fluid dynamics, the lemniscate shape appears as a flow pattern around certain obstacles.
- The lemniscate's elegant geometry has inspired artistic works and architectural designs.
- The lemniscate serves as a valuable tool for understanding the behavior of waves and oscillations.
FAQs About the word lemniscate
any of several plane algebraic curves in the shape of a figure eightA curve in the form of the figure 8, with both parts symmetrical, generated by the point in
No synonyms found.
No antonyms found.
The lemniscate loop emerged as a captivating mathematical construct, symbolizing infinity and symmetry.
The equation of the lemniscate, x^2 + y^2 = a^2/(1 + cos(2θ)), defines its unique figure-eight shape.
The lemniscate's focal points lie on the x-axis, separated by a distance of 2a.
The area enclosed by the lemniscate is given by πa^2/2, while its perimeter cannot be expressed in elementary functions.
