# Archimedean spiral

An *Archimedean spiral ^{}* is a spiral with the polar equation

$$r=a{\theta}^{1/t},$$ |

where $a$ is a real, $r$ is the radial distance, $\theta $ is the angle, and $t$ is a constant.

The curvature of an Archimedean spiral is given by the formula

$$\frac{t{\theta}^{1-1/t}({t}^{2}{\theta}^{2}+t+1)}{a{({t}^{2}{\theta}^{2}+1)}^{3/2}}.$$ |

Title | Archimedean spiral |
---|---|

Canonical name | ArchimedeanSpiral |

Date of creation | 2013-03-22 14:05:55 |

Last modified on | 2013-03-22 14:05:55 |

Owner | rspuzio (6075) |

Last modified by | rspuzio (6075) |

Numerical id | 6 |

Author | rspuzio (6075) |

Entry type | Definition |

Classification | msc 14H45 |