subexpressions (OT: math)

Leonhard Vogt leonhard.vogt at gmx.ch
Sun Jun 3 09:02:11 CEST 2007


>> Yes, I understand that, but what is the geometrical
>> meaning of the square root of an arc length?  
> 
> That's a different question to your original question, which was asking
> about the square root of an angle.
> 
>> And what would the units be?  
> 
> Angles are a ratio of two lengths, and are therefore dimensionless units.
> So the square root of an angle is just another angle, in the same units,
> and it requires no special geometric interpretation: the square root of 25
> degrees (just an angle) is 5 degrees (just another angle). 

But sqrt(25°) = sqrt(25/180*pi) = 5*sqrt(180/pi) != 5°

Leonhard



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