Tangent Plane to a Sphere
For sphere:
$$x^2+y^2+z^2+2gx+2fy+2hz+c=0$$
the tangent plane at $$P(x_1,y_1,z_1)$$ is:
$$xx_1+yy_1+zz_1+g(x+x_1)+f(y+y_1)+h(z+z_1)+c=0$$
Usage
- Used to find the tangent plane at a specified point on the sphere.
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CAT Formulas
Three Dimensional Geometry
Tangent Plane to a Sphere
Tangent Plane to a Sphere
For sphere:
$$x^2+y^2+z^2+2gx+2fy+2hz+c=0$$
the tangent plane at $$P(x_1,y_1,z_1)$$ is:
$$xx_1+yy_1+zz_1+g(x+x_1)+f(y+y_1)+h(z+z_1)+c=0$$
Usage
- Used to find the tangent plane at a specified point on the sphere.
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