Definition of Limacon. Meaning of Limacon. Synonyms of Limacon

Here you will find one or more explanations in English for the word Limacon. Also in the bottom left of the page several parts of wikipedia pages related to the word Limacon and, of course, Limacon synonyms and on the right images related to the word Limacon.

Definition of Limacon

Limacon
Limacon Li`ma`[,c]on" (l[-e]`m[.a]`s[^o]N"), n. [F. lima[,c]on, lit., a snail.] (Geom.) A curve of the fourth degree, invented by Pascal. Its polar equation is r = a cos [theta] + b.

Meaning of Limacon from wikipedia

- In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal or Pascal's Snail, is defined as a roulette curve formed by the path of...
- a curve that can be used to trisect angles. A rose with k = ⁠1/3⁠ is a limaçon trisectrix that has the property of trisectrix curves that can be used...
- geometry, a limaçon trisectrix is the name for the quartic plane curve that is a trisectrix that is specified as a limaçon. The shape of the limaçon trisectrix...
- Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix Quadrifolium (2-rose) Spiric sections Squircle Trifolium...
- is used in loanwords such as façade and limaçon (although the cedilla mark is often dropped: ⟨facade⟩, ⟨limacon⟩). It represents the voiceless postalveolar...
- (x(\theta ),y(\theta ))} on the epitrochoid.) Special cases include the limaçon with R = r and the epicycloid with d = r. The classic Spirograph toy traces...
- circle the above discussion shows that the following definitions of a limaçon are equivalent: It is the pedal of a circle. It is the envelope of circles...
- was practical. The limaçon was first studied and named by Pascal, and so this mathematical curve is often called Pascal's limaçon. Pascal died in Paris...
- tangent lines at any singular point. For example, the equation of the limaçon trisectrix shown to the right is ( x 2 + y 2 − 2 a x ) 2 = a 2 ( x 2 +...
- Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix Ovals of C****ini Squircle Three-leaved clover Astroid...