Re: parametric: x = cos(t), y = sin(t)

In article <061220071507321524%plsperry@[EMAIL PROTECTED]
>,
 Paul Sperry <plsperry@[EMAIL PROTECTED]
> wrote:
[SNIP]

> So, in my view, it is improper or, instead, meaningless to say "Let t
> be angle between lines M and N" (although I'll confess to doing so at
> every op****tunity). Also, it is awkward to properly state things like
> "There are 2*Pi radians in a circle" - never mind the fact that there
> are _no_ radians in a circle - or like "The sum of the angles of a
> triangle is Pi radians".
> 
> I guess I am asserting that there is no such thing as an angle (how
> many angles can dance on the head of a pin?). At least I have never
> seen a definition that I found satisfying. In any case, it doesn't help
> to swap off one word - "angle" - for another - "inclination".
> 
> ...So there!

I guess I don't (yet) see the difficulty with the definition that an 
angle between 2 rays with a common origin is the length of the interior 
arc produced by the rays' intersection with the unit circle centred on 
that common origin.

This handles the cases of an angle having zero radians (a degenerate 
arc), a complete circle having 2 pi radians, and the sum of the angles 
of a triangle being pi radians.

What am I missing?

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