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24-Ruby IV
ValeryOchkov24-Ruby IV
24-Ruby IV
December 17, 2017
Question

Catenary = Physic + Math + IT

  • December 17, 2017
  • 1 reply
  • 3316 views

It is the site of the article "Catenary = Physic + Math + IT" (color picture + Mathcad sheet)

Two students - Three smilesTwo students - Three smilesReal catenaryReal catenaryTwo vectorsTwo vectorsParabola and 3 pointsParabola and 3 pointsParabola thru 3 pointsParabola thru 3 pointsParabola near 10 pointsParabola near 10 pointsCatenary and 10 pointsCatenary and 10 pointslength.pngmass.pngpixel.png

 

Physical Mathematics

1 reply

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
December 28, 2017

We can have thru 5 points a hyperbola (D<0), an ellipse (D>0) or (good chance D=0) a parabola:

hyperbola-parabola-ellipse.gif

    V
    24-Ruby IV
    ValeryOchkov24-Ruby IVAuthor
    24-Ruby IV
    December 28, 2017

    The solution with the Find Function: the partial vectorization!

    And second - we can add more points, change the Find function to MinErr function and get not the interpolation but approximation!

    XY-Find.png

    V
    24-Ruby IV
    ValeryOchkov24-Ruby IVAuthor
    24-Ruby IV
    January 21, 2018

    One more experiment (see please the attached Mathcad 15 file)

    Chain-Load-new.png

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