how many number of sphere from three point

there may be it very simple for masters.......

Suppo开发者_StackOverflow中文版se i have three point with x,y and z coordinate then how many number of sphear i can generate from these three point?(note: each sphere must contain all the three poins)

(e.g we can generate only one circle from three point)

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Just as @Ignacio said,

Lets have three points, now the number of sphere will be equal to the no of points that that lie at equal distance from those points.

And there will be a line, at equal distance from those points, and line will have infinite points.

UPDATES::

How many sphere can pass from a circle?? infinite... but only one smallest sphere and that will have the circle as diameter.

And as you said, three points make unique circle .. and so goes on and on.

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An infinite number.

Consider the simplest case, an equilateral triangle on a plane. Spanning the three points could be an almost-flat segment of a very, very large sphere, one facet of an icosahedron that fills another sphere, or a sphere that has each point at 120° across its equator, and any sphere in-between those.