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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...

- In geometry, a limaçon trisectrix (called simply a trisectrix by some authors) is a member of the limaçon family of curves which has the trisectrix, or...

- 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 +...

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

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

- 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...

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

- Exsecant Excosecant Epitrochoid Epicycloid (special case of the epitrochoid) Limaçon (special case of the epitrochoid) Hypotrochoid Hypocycloid (special case...

- {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 r...

- \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...

- In geometry, a limaçon trisectrix (called simply a trisectrix by some authors) is a member of the limaçon family of curves which has the trisectrix, or...

- 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 +...

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

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

- 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...

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

- Exsecant Excosecant Epitrochoid Epicycloid (special case of the epitrochoid) Limaçon (special case of the epitrochoid) Hypotrochoid Hypocycloid (special case...

- {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 r...

- \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...

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