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Plot the center of a sphere with 4 points ?

lvl107
20-Turquoise

Plot the center of a sphere with 4 points ?

Hello Everyone.

From the following :

4-points.PNG

Thanks in advance for your time and help.

Best Regards.

Loi.

1 ACCEPTED SOLUTION

Accepted Solutions
Werner_E
24-Ruby V
(To:lvl107)

9 REPLIES 9
Werner_E
24-Ruby V
(To:lvl107)

How about using a solve block?

Werner_E_0-1661196027734.png

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
20-Turquoise
(To:Werner_E)

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)

4-points ( ' ).PNG

Thanks Again.

Loi.

Werner_E
24-Ruby V
(To:lvl107)


just only changing the GreenPoint

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

LucMeekes
23-Emerald III
(To:lvl107)

LucMeekes_0-1661200129042.png

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

LucMeekes_1-1661200206581.png

With another set of points, you may get:

LucMeekes_2-1661200307341.png

Success!
Luc

lvl107
20-Turquoise
(To:LucMeekes)

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

Best Regards.

Loi.

lvl107
20-Turquoise
(To:lvl107)

Hello Everyone, again.

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

Best Regards.

Loi.

Werner_E
24-Ruby V
(To:lvl107)

Werner_E_1-1661216543106.png

 

 

lvl107
20-Turquoise
(To: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 ?

4-points ( 4 ).PNG

Thanks in advance.

Best Regards.

Werner_E
24-Ruby V
(To:lvl107)

Werner_E_0-1661293705524.png

EDIT: Mathcad 15 file finally attached

 

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