Condition for a Real Sphere
For:
$$x^2+y^2+z^2+2gx+2fy+2hz+c=0$$
a real sphere exists when:
$$g^2+f^2+h^2-c>0$$
Usage
- Used to check whether the equation represents a real sphere with positive radius.
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CAT Formulas
Three Dimensional Geometry
Condition for a Real Sphere
Condition for a Real Sphere
For:
$$x^2+y^2+z^2+2gx+2fy+2hz+c=0$$
a real sphere exists when:
$$g^2+f^2+h^2-c>0$$
Usage
- Used to check whether the equation represents a real sphere with positive radius.
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