Calculation: HXMoCs - 1
(x-x0)^2+ (y-y0)^2+ (z-z0)^2 =
R^2
R^2
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(x-x0)^2+ (y-y0)^2+ (z-z0)^2 = R^2$$(x-x0)^{2}+(y-y0)^{2}+(z-z0)^{2}$$ = $$R^{2}$$
(x-x0)^2 = R^2- (y-y0)^2- (z-z0)^2$$(x-x0)^{2}$$ = $$R^{2}-(y-y0)^{2}-(z-z0)^{2}$$
(x-x0)^2 = R^2- y^2+ 2* y* y0- y0^2- z^2+ 2* z* z0- z0^2$$(x-x0)^{2}$$ = $$R^{2}-y^{2}+2\cdot y\cdot y0-y0^{2}-z^{2}+2\cdot z\cdot z0-z0^{2}$$
x = saknis( R^2- y^2+ 2* y* y0- y0^2- z^2+ 2* z* z0- z0^2)+x0$$x$$ = $$\sqrt {R^{2}-y^{2}+2\cdot y\cdot y0-y0^{2}-z^{2}+2\cdot z\cdot z0-z0^{2}}+x0$$
R^2- y^2+ 2* y* y0- y0^2- z^2+ 2* z* z0- z0^2)+x0$$x$$ = $$\sqrt {R^{2}-y^{2}+2\cdot y\cdot y0-y0^{2}-z^{2}+2\cdot z\cdot z0-z0^{2}}+x0$$