Affine name | Axis and type | Description |
---|---|---|

Translation | Elation with axis at infinity | Each line is mapped onto a parallel line. There are no fixed points and the fixed lines form a parallel class. |

Contraction | Homology with axis at infinity | Each line is mapped onto a parallel line. There is exactly one fixed point, and the fixed lines are exactly the lines through this point. |

Shear | Elation with affine axis | All points on a line are fixed, and all lines parallel with this line are also fixed. There are no further fixed points or fixed lines, respectively. |

Strain | Homology with affine axis | All points on a line are fixed, and there are no further fixed points. The fixed lines distinct from the axis form a parallel class. |

Version