How to plot the Fermat point with Mathcad ?

[lvl107]

Hello Everyone.
From :

How to plot the Fermat point of a triangle with Mathcad ?
Thanks in advance for your time and help.
Best Regards.
Loi.

[Werner_E]

1) I assume you are talking about the first Fermat point (= Toricelli point)

2) I assume you don't mean how to plot it but rather how to calculate its coordinates.

Here is a quick numeric approach. Benefit is that it works equally well also if one of the angles is >= 120 degree. 😉

BTW, the exact coordinates are

[lvl107]

Many thanks for your hint and your time, Werner. 🤔 🙄 :

  A similar query : How to obtain a symbolic approach ?

   Best Regards.

[Werner_E · Accepted solution]

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@lvl107 wrote:

  A similar query : How to obtain a symbolic approach ?

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Well, one simply recalculates the usual geometric construction of the Fermat point step by step.