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Agreed. I have spoken to many that don't seem to get that though.

Of course a ratio describes an angle just as accurately as any other method. What peeves me a bit is that people use these same ratios, but measure differently or to different places on the razor,...

The only reason that I can see for this coming close is that a radian is ~ 57.3 degrees:shrug:

A 1 to 4 ratio is actually 14.36* inclusive.

I/2 thickness/hyp > A-sin x2