Difference Between Inward and Outward Spiral Curves

[sams]

Could anyone please explain how can I know mathematically whether the logarithmic spiral curve spirals inward or outward? In which sense does the outward spiral spirals?

Thank you very much for your help

 

[mathman]

If the curve is given in parametric form, then see hoe the distance from the center behaves as the parameter increases. If it is not in parametric form, then it is somewhat ambiguous.