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:

    ... the truth is hidden from us. Even if a mere piece of luck brings us straight to it, we shall have no grounded conviction of our success; there are so many similar objects, all claiming to be the real thing.
    Lucian (c. 120–c. 180)

    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)