Re: Need Help

Yumnam Kirani Singh <kirani.singh@xxxxxxxxx> wrote in message
<29420242.1211187243656.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>...
I wonder to read your comments. Isn't your comment self contrasting? don't
you ever think thant any three equidistant points form a circle? You mention
infinate number of such points means nothing but infinite number of circles
and infinite number of plaines. Am I seriously wrong?

Excuse me, but I assume you are commenting
to Roger. (You should quote the person you
are referring to, otherwise an ambiguity occurs.)

You stated this:

"There may be infinite number of circles you can draw with three points in
three dimensional space. The question is then which circle to choose? The
following website may help you in understanding the topic.
http://www.geocities.com/kiranisingh/center.html";

But your statement is incorrect, and if your
website states differently, then it is incorrect
too.

Three general distinct and non-collinear
points determine a unique plane in a 3-d
space. Surely you appreciate this fact.

In that plane, there is a unique circle that
will pass through those three points, again
assuming non-collinearity of the points.

These three points must therefore determine
a unique circle in the space. Why? Any circle
that passes through the three points in R^3
must lie in a plane in that space. Since that
plane must be the same as the one that
contains those three points, then the circle
is itself unique.

John
.

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