Nebankh, thx a lot for your version :) (mine was translated from french ^^)
Michael, ...it's weird to see how you make simple geometry sound complicated (and false...)
Let's build the Geometrical Atalanta:
The couple starts the circle.
That circle is inscribed into the square.
The diagonal of the square, stopped to circumference, reported at the middle of the square's upper side, gives the top of the 45° triangle.
Its sides are tangent to the 2 square's upper corners.
The segment going from the center of the square's upper side, to the triangle's lower angle, is used as radius for the new circle.
The distance, from the top of the triangle to the circle, allows to trace the quadrature of the circle (equal aera for circle and square).
Now let's come back to the end of the Epigramma: "From this derive a triangle, which should touch The sphere on every side"
Why is Maier talking about a "sphere" (not a circle as he started with)?
And why did he add "on every side"?
It seems he wanted to remind us the fact that Kheops' pyramid is half a sphere shaped into square:
its height shows the radius of a sphere which circumference is equal to the base's perimeter (4 sides added up)
Base's perimeter (4 sides) / Pi == diameter / 2 == height.
Mr Hunter, really interesting point, though i see the "sphere" from another view:
It seems that the Kheops' pyramide is the scale model of the Giza complex' underground (based on the Solomon's seal _or David's star, for Anne-Marie ;)_, what is on top _or up_ is like what is at the bottom _or down_), and that'll be the subject of my next topic ;)P