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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