> Hello Jacob
> Forget equations for a moment...as surely we can
> add enough fractions together and apart to define
> pi probably down to its millionth part, and the
> AEs knew what 'millions' were.
Yes, but did the Ancient Egyptians know and or use pi?
> What about scale?
> Anyone can make a perfect circle using a
> pivot-point and something to extend from that
> point, and just turn about the pivot-point.
If you drive a stake in the ground attach a rope to it and draw a circle, you have two component parts of the equation. We know the distance between the two stakes is radius which requires 2 pi to calculate the circumference. Or is pi even necessary? So how do you measure or calculate the ratio between the two?
> What if I double the extension? Triple it? Go out
> four hundred and 19 feet and the width of my
As with all geometric formulas length is irrelevant. Quite simply multiply the radius length eight times: this produces a square perimeter: dividing the perimeter by the rise run of G1 14/11 provides the circumference with a reflecting equivalent pi value of 22/7. i.e. 280 x 8 = 2240, 2240 / 14/11 = 1760 pi not necessary.
> What if I get several perfectly formed,
> square-edged sticks all the same length, and place
> them on the edges of the circle so that the Sun
> passes right over them and they cast no shadows
> upon the ground...and I measure the time it takes
> for no shadow to appear on one stick of a circle
> and then not appear on the other stick. And I do
> this to the four circles I have made.
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?
> I know the diameters of the circles, and now I can
> equate their sizes to how much time passes in
> shadow-creations because I have made the circles
> all from the same pivot-point...and strung a
> simple line across all the upright sticks...and
> can measure the distances between the sticks and
> show that 'time' equals the Sun moving 'x'
> distances according to my circles and their sticks
> and shadows not being cast.
> Have another think about a process for laying out
> the foundations of temples and such, where the
> Pharaoh or High Priest uses a string line to
> measure against the stars...or a star...or a
> certain source of light.
I have laid out many foundations in my time and orientation is paramount. The most unusual and the one that sticks in my memory was because of small architectural error it was necessary to incorporate a 7 degree bend in the hallway leading to in order to accommodate the owner being able to lay in bed and view the north star through a skylight. Which was a lot of geometry for a minor glitch, (actual angle to be determined), note of the architectural site plans provided for the home.
> Maybe its time we rethink pi.
What is there to rethink? I am all for the Ancient Egyptians having used pi as it salvages many of my own theories. All we need is anything from them noting deliberate use of pi. Remember just because we find pi in one of their structures is no indication the Ancient Egyptians were aware of it.