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Hi Doug

you wrote:
Bygrave slide rule:
It was my prompting of Peter Martinez to post about the Bygrave slide rule, as 
I asked him to help produce a better computer derived scale.  We are of the 
opinion that although there is room for discussion and both systems can be 
considered alongside of each other as they reach the same result,  that isd:  
of logCotan/ logCos scales,  or,   logTan/ logCosecant;
I am completely convinced Bygrave made an error in his patent description 
referring to log Cos scale, and that the scales are definitely logTan  and 
logCosecant.  I do not want to rehearse the arguments here. It is immaterial 
which you choose;  but what struck me was the unwillingness of some here to 
even consider this alternative argument.

My response:
In my recent postings with the Visual Bygrave, you will find I give equal 
credence to the Secant/Tangent pair and the Cosine/CoTangent scales, and have 
so since this discussion began.  The point is proven, it can be either.  I 
agree hole heartedly, Bygrave did not present this information in his patent. 
 Either scale pairing provides the correct answer.  This is to be expected, 
as Secant is the inverse of Cosine, while Tangent is the inverse of 
Cotangent.  While others may continue to doubt your proposition, I think it 
quite reasonable.  Don't let the peanut gallery get you down!

Best Regards
Brad

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