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Centre of a Sphere Tangent to a Plane
If the sphere has centre $$C(a,b,c)$$ and is tangent to:
$$Ax+By+Cz+D=0$$
then:
$$\frac{|Aa+Bb+Cc+D|}{\sqrt{A^2+B^2+C^2}}=r$$
Usage
- Used to determine possible centres satisfying a tangency condition.
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Centre of a Sphere Tangent to a Plane
If the sphere has centre $$C(a,b,c)$$ and is tangent to:
$$Ax+By+Cz+D=0$$
then:
$$\frac{|Aa+Bb+Cc+D|}{\sqrt{A^2+B^2+C^2}}=r$$
Usage
- Used to determine possible centres satisfying a tangency condition.
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