(800) 434-2582
Call Now!Franchise Info

Get Math Help

Math Reading Science Test Prep

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Home / Get Math Help

    Spiral

    Named curves

    Archimedean spiral | Archimedes' spiral | atom-spiral | Atzema spiral | circle involute | cochleoid | Cornu spiral | Doppler spiral | ellipse involute | Fermat spiral | Galilean spiral | hyperbolic spiral | lituus | logarithmic spiral | neoid | Nielsen spiral | Poinsot csch spiral | Poinsot sech spiral | tractrix spiral (total: 19)

    Example plots

    Example plots Archimedean spiral

    Example plots Archimedes' spiral

    Example plots Atom-spiral

    Alternate names

    arithmetic spiral

    atomic spiral

    Pritch-Atzema spiral

    cochlioid | oui-ja board curve | snail curve

    clothoid | Euler spiral | spiro

    Equations

    Archimedean spiral | x(t) = a t^(1/n) cos(t) y(t) = a t^(1/n) sin(t) Archimedes' spiral | x(t) = a t cos(t) y(t) = a t sin(t) atom-spiral | x(t) = (t cos(t))/(t - a) y(t) = (t sin(t))/(t - a) Atzema spiral | x(t) = a (-t sin(t) + sin(t)/t - 2 cos(t)) y(t) = a (-2 sin(t) + t cos(t) - cos(t)/t) circle involute | x(t) = a (t sin(t) + cos(t)) y(t) = a (sin(t) - t cos(t)) cochleoid | x(t) = a sinc(t) cos(t) y(t) = a sinc(t) sin(t) Cornu spiral | x(t) = a C(t) y(t) = a S(t) Doppler spiral | x(t) = a (k t + t cos(t)) y(t) = a t sin(t) ellipse involute | x(t) = a ((sqrt(2) b sin(t) E(t|1 - a^2/b^2))/sqrt((b^2 - a^2) cos(2 t) + a^2 + b^2) + cos(t)) y(t) = b (sin(t) - (sqrt(2) b cos(t) E(t|1 - a^2/b^2))/sqrt((b^2 - a^2) cos(2 t) + a^2 + b^2)) Fermat spiral | x(t) = a sqrt(t) cos(t) y(t) = a sqrt(t) sin(t) Galilean spiral | x(t) = cos(t) (b t^2 - a) y(t) = sin(t) (b t^2 - a) hyperbolic spiral | x(t) = (a cos(t))/t y(t) = (a sin(t))/t lituus | x(t) = (a cos(t))/sqrt(t) y(t) = (a sin(t))/sqrt(t) logarithmic spiral | x(t) = a e^(b t) cos(t) y(t) = a e^(b t) sin(t) neoid | x(t) = cos(t) (a t + b) y(t) = sin(t) (a t + b) Nielsen spiral | x(t) = a Ci(t) y(t) = a Si(t) Poinsot csch spiral | x(t) = a cos(t) csch(n t) y(t) = a sin(t) csch(n t) Poinsot sech spiral | x(t) = a cos(t) sech(n t) y(t) = a sin(t) sech(n t) tractrix spiral | x(t) = a cos(t) cos(t - tan(t)) y(t) = a cos(t) sin(t - tan(t))

    Fermat spiral | tan((x^2 + y^2)/a^2) = y/x hyperbolic spiral | y/x = tan(a/sqrt(x^2 + y^2))

    Archimedean spiral | r(θ) = a θ^(1/n) Archimedes' spiral | r(θ) = a θ atom-spiral | r(θ) = θ/(θ - a) cochleoid | r(θ) = a sinc(θ) Fermat spiral | r(θ) = a sqrt(θ) Galilean spiral | r(θ) = b θ^2 - a hyperbolic spiral | r(θ) = a/θ lituus | r(θ) = a/sqrt(θ) logarithmic spiral | r(θ) = a e^(b θ) neoid | r(θ) = a θ + b Poinsot csch spiral | r(θ) = a csch(θ n) Poinsot sech spiral | r(θ) = a sech(θ n)

    Common properties

    parametric | spiral

    Derived curves

    | evolute circle involute | circle ellipse involute | ellipse

    Back to List | POWERED BY THE WOLFRAM LANGUAGE