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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.

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.

- In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle...

- 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...

- is used in loanwords such as façade and limaçon (although the cedilla mark is often dropped: ⟨facade⟩, ⟨limacon⟩). In modern Spanish it can appear in loanwords...

- Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix Ovals of C****ini Squircle Trifolium Curve Astroid Atriphtaloid...

- words from French and Portuguese such as "façade", "limaçon" and "cachaça" (often typed "facade", "limacon" and "cachaca" because of lack of ç keys on Anglophone...

- \theta } is a parameter (not the polar angle). Special cases include the limaçon with R = r and the epicycloid with d = r. The cl****ic Spirograph toy traces...

- {1}{2}}\theta -\sin ^{2}{\tfrac {1}{2}}\theta )=a(1+2\cos \theta )} . This is the Limaçon trisectrix. The equation with the origin take to be the other pole is the...

- used to trisect angles. A rose with k = 1 / 3 {\displaystyle k=1/3} is a limaçon trisectrix that has the property of trisectrix curves that can be used...

- Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix Quadrifolium (2-rose) Spiric sections Squircle Swastika...

- 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 +...

- 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...

- is used in loanwords such as façade and limaçon (although the cedilla mark is often dropped: ⟨facade⟩, ⟨limacon⟩). In modern Spanish it can appear in loanwords...

- Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix Ovals of C****ini Squircle Trifolium Curve Astroid Atriphtaloid...

- words from French and Portuguese such as "façade", "limaçon" and "cachaça" (often typed "facade", "limacon" and "cachaca" because of lack of ç keys on Anglophone...

- \theta } is a parameter (not the polar angle). Special cases include the limaçon with R = r and the epicycloid with d = r. The cl****ic Spirograph toy traces...

- {1}{2}}\theta -\sin ^{2}{\tfrac {1}{2}}\theta )=a(1+2\cos \theta )} . This is the Limaçon trisectrix. The equation with the origin take to be the other pole is the...

- used to trisect angles. A rose with k = 1 / 3 {\displaystyle k=1/3} is a limaçon trisectrix that has the property of trisectrix curves that can be used...

- Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix Quadrifolium (2-rose) Spiric sections Squircle Swastika...

- 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 +...

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