Martinez

I should learn to stay out of threads like this because, simply, I just don't have the math skills for it. Anyhoo....I believe the reason for 360-degrees is simply because the earth revolves on its axis relative to the sun at the rate of 1-degree every 15 minutes Thus in a 24-hour period of time: 15*24 = 360.

Aye Caramba!... Hold on to your hat everyone! It would appear that not only dioes root 2 rule - but that it is as well sacosanct! - for it is now seen that applying the formulae to any area and applying any known pi value whatsoever results in deriving the same area. Root 2 would appear indeed to be sacrosanct! - pi but the ratio of line to arc. What say y'all?

Thanks for the reply Ophiolite. That is exactly what I was looking for! We arrive at the same answer, but by different formula. Pi/40 derives from my interpretation of the Pythagoras perfect ratios as relevant to Base 10. It is good to have confirmation on such questions.

I keep working on it and have now come up with a formulae giving further evidence that it is not pi that officiates in determining dimension of the circle but root 2. Here is the formulae I come up with: Sqrt of area/sqrt pi = radius; r^2*pi = area. Thus for the given area of 64: 8/sqrt pi = 4.5135....radius; r^2*pi = 64 area. Root 2 Rules!

Let's consider the inscribed square of the circle such that its vertices describe the chords to its 4 quadrants and where area of the circle is, say, 64 units. Area of the inscribed square is given as 64/0.5 pi = 40.5 square units and where each line of the square defines the chord length to a quadrant of the circle. That chord length is given by the trianglature formulae of r*sqrt 2 = chord length; chord length*pi/4*sqrt 2 = quadrant arc length. The trianglature formulae derives from aeronautics engineer and writer E.P. LeRoy.

The Least Angle topic opened a rather heated debate 'mongst work associates, most of whom have a strong background in acadenics.....I do not! The question evolved to : What formula gives the distance between each adjacent angular degree on circumference of the circle? In a foregoing thread I gave the formula for describing the least possible distance between 2 adjacent degrees as pi/40. From that I now deduce that the distance between 2 adjacent degrees of any circumference is given as radius/radian. I think it stands, but before taking it to the others thought I might try for an outside opinion. What say you?

In the process of a patent/copyright research I happened upon a copyrighted 12-tone Scientific Scale. Don't know what the application of it might be, bu do know that the 7-tone Scientific Scale of Pythagoras is the standstill to mathematics in the Western world. In any event I copied it down to give here should there be the interest: 12-tone Scientific Scale: F#= 1.4046639.... C= 2.0 (fundamental) C#= 1.0534979.... G= 1.5 G#= 1.5802469.... D= 1.125 D#= 1.1851851.... A= 1.6875 A#= 1.7777777.... E= 1.265625 F = 1.3333333.... B= 1.8984375 Do not confuse the scale with tonal qualities discerned by the ear - approximate though they may be. Rather, the scale relates one wavelength to another by exacting mathematic rartio. "All things number and harmony." - Pythagoras

Thanks much, uncool...and from one of my kids as well. Your answer happened to coincide with a homework assingment. My query still is unresolved from a theoretical standpoint - If no perfect circle, then no perfectly straight line either - so how to describe the perfect square?? Fun for me to think on. The answer I suspect is in knowing how to account for oblateness of the circle.

Hope this is not a repeat....you should know that I'm a bit clumsy at this sort of thing. I need to know the formula for determining the angle of incidence for a specific moment on the diurnal arc. I do know that the angle occuring at 3:33...PM is 50.625 degrees, but don't know how it's derived.

Hi, All!....my first posting here. I Find the Pythagorean Triples mentioned in one of the threads and curious to know what they are....if you will, please.

My question would ave to be: If no such thing as the perfect circle, how possibly the perfect square?