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  #1  
Old 09-18-2005, 10:23 PM
igwt igwt is offline
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Default New angle makes trigonometry rational




Anyone recognize the sign?

ABC Link

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  #2  
Old 09-19-2005, 02:16 AM
Shannow Shannow is offline
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Default Re: New angle makes trigonometry rational

Quote:
The spread between two lines is a number between zero (representing parallel lines) and one (representing lines at right angles).
Sounds like Trig to me.

I'm working increasingly with graduate engineers from UNSW (btw, I went there, and spent a wonderful year annoying the ODdies)...it's very depressing to see the skills that they are leaving with.
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Old 09-19-2005, 03:27 PM
Shannow Shannow is offline
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Default Re: New angle makes trigonometry rational

Sounds really like trig to me now

http://web.maths.unsw.edu.au.nyud.net:8090/~norman/papers/Chapter1.pdf
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Old 09-19-2005, 03:42 PM
freeman freeman is offline
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Default Re: New angle makes trigonometry rational

I'm no math whiz, but it just seems like a "recalibration" to me -- another way of doing the same thing.
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  #5  
Old 09-20-2005, 03:03 AM
Shannow Shannow is offline
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Default Re: New angle makes trigonometry rational

freeman,
he uses pythagorus' theorem, but leaves out the square root (i.e. a calculation), and leaves the numbers as a squared.

Then instead of angles, uses the ratios of opposites (or adjacents) divided by the hypotenuse to define how far apart they are.

He's using trig, just using different terminology, and justifying it by simplicity.

Most engineers and mathematicians would work his way anyway, solving a formula at the end, rather than approximating (through a calculation) each step.

Anyway, the mason's used a compass to work out 30, 45, 60, and 90 degrees (they were so proud to teach us that in Grade 4), and as to

Quote:
If the lines are close to being parallel, the angle is close to zero, while if the lines are
perpendicular, the angle turns out to be, after a highly non-trivial calculation going
back to Archimedes, a number with the approximate value 1. 570 796 326 . . . .
1.57076326x2 = 3.141592652...errm pi, back to the circular reference he started against.
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  #6  
Old 09-20-2005, 04:41 AM
freeman freeman is offline
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Default Re: New angle makes trigonometry rational

That's what I'm seeing too,Shannow.
...so what makes this "revolutionary"? :-?
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  #7  
Old 09-20-2005, 10:49 AM
Saturnino Saturnino is offline
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Default Re: New angle makes trigonometry rational

Quote:
igwt wrote:


Anyone recognize the sign?

ABC Link
OOOps !!! I do. In Brazil, this is the signal for the female genitalia. Don't do it around here !
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  #8  
Old 09-21-2005, 12:20 AM
igwt igwt is offline
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Default Re: New angle makes trigonometry rational

Quote:
Saturnino wrote:
Quote:
igwt wrote:


Anyone recognize the sign?

ABC Link
OOOps !!! I do. In Brazil, this is the signal for the female genitalia. Don't do it around here !
Aside from the trig aspect the photo show a known signal.
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