Science Forums 2

[Eugene]

Uncle Al, thanks for responding to this controversial subject, which the pi ratio certainly is. Hopefully I can contribute to it, but for the most part will be straddling the fence, not having the mathematics acumen of most.

1) I have to hold to the pi quadrature formula given above, by reason that it refers to correlation of the line and arc solely by ratio and not by the operations of calculus, which assign a specific length to the line. We cannot define the absolutely straight line, just as we cannot define the perfect circle. The best we can do is correlate the two by ratio to some common point of origin.

2) I don't know how to distinguish between the higher order and lower order curves, so clearly lost there. It does seem to me, however, that every curve, spiralled or plane, has some point of origin and that point mandating a lined radius.

3) Not meaning to act smart, but yes I can screw around with pi. We've been screwing around with it now for some 4 millennia and still don't have a handle on it. I do certainly reject out of hand such approximations as given by the Archimedes and other line-referenced methods.

4) No, sir, pi is not exact. Any pi ratio, rational or irrational, runs to infinity. While a pi ratio has been introduced that describes the finite condition, itself is not finite but runs to infinity like the others.

5) It is inconsequential that the sqrt (2) given by the trianglature formula is irrational - so is the sqrt (3) - yet both relate to and confirm the 2:3 ratio which is the closest possible relationship that can exist between one thing and another.

6) I beg to suggest that not all things are by the book.