Similarity (geometry) - Similar Curves

Similar Curves

Several types of curves have the property that all examples of that type are similar to each other. These include:

  • Circles
  • Parabolas
  • Hyperbolas of a specific eccentricity
  • Ellipses of a specific eccentricity
  • Catenaries
  • Graphs of the logarithm function for different bases
  • Graphs of the exponential function for different bases
  • Logarithmic spirals

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Famous quotes containing the words similar and/or curves:

    Let the day perish wherein I was born, and the night in which it was said, There is a man child conceived.
    Bible: Hebrew Job, 3:3.

    A similar imprecation is found in Jeremiah 20:14-15.

    One way to do it might be by making the scenery penetrate the automobile. A polished black sedan was a good subject, especially if parked at the intersection of a tree-bordered street and one of those heavyish spring skies whose bloated gray clouds and amoeba-shaped blotches of blue seem more physical than the reticent elms and effusive pavement. Now break the body of the car into separate curves and panels; then put it together in terms of reflections.
    Vladimir Nabokov (1899–1977)