You might have to reread the post, as you surely pose and ask questions that I have written about in the post...
You ask/say: "Easy for you to do since you have predetermined time intervals to measure and divide time. Any information as how the Ancient Egyptians measure and divide time? Anyone care to contribute?"
And right underneath that - where you quote me - I say how time was measured according to the distances and the upright sticks and when the Sun is overhead at one stick and not casting a shadow on the ground, then when it is over another stick and not casting a shadow on the ground, etc etc. ANd would you believe that in a full day, the Earth has turned, the Sun has altered its location a little, but still the same process can be repeated by having the line of sticks in the appropriate place and still the Sun will shine directly over sticks and cast no shadows and everything has a measure...
...and now you can turn degrees, minutes and seconds into seconds, minutes and hours.
Well, you bloody well do the math until you find that 60 is a bloody good number as minutes/seconds for time and distance. And then you discover that you can have 360o that goes nicely into 24 hours.
So now you have a length of distance that equates to a length of time, all based upon the Sun...
...ah, but what next, you ask?
Well, you say to yourself that 'Geez...you know, I have this measure going from here to there and it takes the Sun 'this' to go from here to there, so the Earth must be about so-big...and if it is so big, then that measure can be broken down into time-parts and distance parts, and there must be something associated with it that combines the two besides '60' and 360 and 24...
...and blow me down but now I have something associated to a circle that is based upon a measure of time over a measure of distance, and I think I have a little formula I can make up from knowing that just to make things simple for others to follow.
Why make it simple? Because it is too bloody hard to explain how to set out a line and sticks and watch the Sun play with shadows and make a measure according to feet or eyelashes or elbow-fingertips or pebbles or rods or a stone's-throw or a frog's jump or anything that I care to equate the measures of Sun and shadows to, which offers up a good Earth-size and doesn't it make you wonder how the world turns each and every day with the Sun going over...and sheesh! But here comes the moon at night. Let me try it again and see what happens.
So...'time' to rethink pi...as in time is the very first foundation for measure, according to days, parts of days, and the Earth turning in a circle.
Yeah...I think that kind of knowledge is probably 2 - 3 hundred thousand years old...but at some stage someone did a little bit more calculating and did something miraculous with that knowledge: he actually measured it and gave the measure a name...then fine-tuned it to become what the ancients had: systems based on 6s, 10s, 24s, 60s and 360. Do you really think it suddenly sprung up around 4,000 BCE?
As far as I am concerned, it was well known before 12,000 BCE.
So...go make your measure of a circle in a straight line and watch the Sun reveal a secret...
...or keep going round in circles about the centre that is right there, plain as sight, and always look outwards but don't look inwards. Everyone else looks outwards, so why not keep the trend going, hey?
As always, written in good faith :)
And a big bloody CHEERS! I'm going to have a beer and smile at myself for being such a twat.