How to find intersecting points

2012 10 31
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If i have a shere X^2 + Y^2 + Z^2 = R^2 and plane X + Y + Z + d = 0;
This plane cuts sphere, so circle is formed..
Then in MATLAB is it possible to find all possible intersecting 3D points of sphere and plane. Which function is used..?

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Walter Roberson
Walter Roberson 2012-10-31
"all intersecting 3D points" could be an infinite number, such as the circle. Are you looking for the points of intersection or for a formula that describes the points ?
Lalit Patil
Lalit Patil 2012-10-31
Thanks for your interest.. I am looking for formula or matlab function that will give all infinite points of that intersecting circle..

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Sachin Ganjare
Sachin Ganjare 2012-10-31

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Lalit Patil
Lalit Patil 2012-10-31
No,this is not the thing sachin that i want.. I have a single shere of unit radius, and so many planes.. If i take one plane and it cuts to sphere then there will be one circle, I know only the radius of circle and height of it from sphere origin.. So, i have to find all intersecting points of sphere and plane that forms circle..

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Lalit Patil
Lalit Patil
2012-10-31

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