Plot the center of a sphere with 4 points ?

[lvl107]

Hello Everyone.

From the following :

Thanks in advance for your time and help.

Best Regards.

Loi.

[Werner_E]

How about using a solve block?

In case of your data the centre of the sphere is exactly the origin.
You can increase the precision by setting something like CTOL:=10^-8

[lvl107]

I greatly appreciate your time and help. I'm very happy with your help. My question would be the following : (just only changing the GreenPoint)

Thanks Again.

Loi.

[Werner_E]

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just only changing the GreenPoint

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Just type in the solve block and throw in the coordinates you are interested in.

[LucMeekes]

Note that the exact expression of the center is large, in full it is:

With another set of points, you may get:

Success!
Luc

[lvl107]

Many, many thanks, Luc. And I still have a query about : center and radius of inscribed sphere. 

Best Regards.

Loi.

[lvl107]

Hello Everyone, again.

And I still have a query about : center and radius of inscribed sphere. 

Best Regards.

Loi.

[Werner_E · Accepted solution]

[lvl107]

Hi Everyone again,

Until now, I got 2 new points of center. (DarkGreen and Violet). And I still have another query : 2. How to Plot the contact-point of ΔACD (Red-Blue-Orange) and inscribed sphrere ?

Thanks in advance.

Best Regards.

[Werner_E]

EDIT: Mathcad 15 file finally attached