Arc Length and Tangent Vector

  • Markus Antoni


Many engineers might face some of the following questions:
  • What is the shortest flight connection between two airports?

  • Is the new roller coaster longer than the previous one?

  • How long will a new road be in a mountainous area?

  • When will the space probe reach the planet Mars?

  • How much material is required for a cable transport system or a suspension bridge?

These questions can be traced back to the problem of calculating the arc length of a curve, which is presented in this chapter.

Supplementary material

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of GeodesyUniversity of StuttgartStuttgartGermany

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