HI Kanga,
Kanga Wrote:
-------------------------------------------------------
>
> One cannot state the corner edge slope of G1 is
> 9:10. The corner edge slope (seked) of G1, if they
> were interested in it at all, would have been
> calculated from the dimensions of the
> half-diagonal and the height, but the value of the
> half-diagonal depends on which value of sqrt2 one
> is using, and as you state, one should not be
> using the calculator value.
>
> What value of the half-diagonal were you using to
> calculate the 9:10 slope?
There is no 10/9 slope, it is an extension as is the sqrt 2. Actually the 14/11 rise run is a 10/9 derivative portion of 140/99. Just as pi, in the form of 22/7, divided by 10/9 = 99/35 = 2 + 1/2 + 1/5 + 1/10 + 1/35 aka square root 8 within 8/10,000 of course.
>
>
> > Regarding the Bent Pyramid gradients.
>
> > The lower seked of 4 + 1/2 + 1/3 + 1/15 palms
> run 7
> > and a rise 10, A seked of , 4 + 1/2 + 1/3
> > + 1/15 / 2/3 = 7 + 1/3 + 1/60, (i.e. 4 9/10
> / 2/3
> > = 7 7/20)
>
> The seked of the lower part (4 + 9/10) palms is
> better expressed as 4 + 2/3 + 1/6 + 1/15 palms, as
> 2/3 has its own sign. However the seked of the
> Bent upper is commonly accepted as 7 + 1/2 palms,
> not 7 + 7/20 palms. Its dimensions are: ht = 110c;
> base (bendline) = 235c 5p.
>
> Kanga
The upper could be 7 1/2 seked, but one thing I have learned over the years is because something commonly accepted does mean it correct. My question would be, how does that relate to known Ancient Egyptian methods? Why 7 1/2 palms? It is one thing to be able to calculate numbers, it is an entirely different ball game to actually be cognizant of processes and reasoned logic governing the calculations.
Yes, lower section at 90 cubit and the upper section at 110 cubits they did use the 9/11 ratio extensively just as they used the Eye of Horace in their calculations.
BTW I was finally able to calculate the seked for the interior slopes for the 3 major pyramids interior gradients at Giza, based on actual physical evidence supporting the use of these particular values both within and without the pyramids.
It seems the seked of the interior ramps all have a n/n-1 ratio to each other as do the exterior seked of G1, G2 and G3have a n/n-1 relationship to each other i.e.
G2. 5 + 1/4 seked x 1 + 1/21 = G1. 5 + 1/2 seked (22/21 ratio)
G2. 5 + 1/4 seked x 1 + 1/15 = G3. 5 + 1/2 + 1/10 seked (16/15 ratio)
G3. 5 + 1/2 + 1/10 x 1 + 1/55 = G1. 5 1/2 seked. (56/55 ratio)
Regards,
Jacob