07-13-2018, 03:04 PM

...

Ancient cultures sacred geometries were accounted for by the first astronomers.

The planetary movements, especially the planetary synods,

the Lunar Month, and the Earth sidereal and tropical years,

were quite important to ancient study.

The very first and simplest astronomoical cycle,

was the Earth sidereal and the Venus synod.

These time lines were defined in CALENDAR COUNT <----

ie

Earth -- 365 days --- Venus synod to Earth -- 584 days.

The ratio, or fraction of these two:

5 / 8 = 365 / 584

initiates the ancient Phi progressions.

{see earlier work here}

365 and 584

operate together with the prime -- 73. 5 x 73 = 365 ... 8 x 73 = 584

Another important but simple cycle was created to Calendar Account for:

the Mars sidereal -- 687 days

and streamlines the Venus synod to Earth to: 583.95 days <---

NASA Venus synod = 583.92 days <---

so this cycle uses the prime -- 17 ---

17 x 687 Mars sidereal = 20 x 583.95 Venus synod.

Note that the prime 17 --- is particular to the Megalithic Yard 272 = 17 x 16,

and ancient Pi value 3.1416

3.1416 = {231 x 17} -- divided by -- 1250

where:

5 x 231 = 56 x cubit 20.625

Also -- 231 x {sqrt 5 / sqrt 2} = 365.2430698 --- that is my Grand Unification Tropical Earth Year.

You can also see that value work with a Khufu Pyramid height of 481.25 feet = 5775 inches,

or

280 x 20.625 cubit = 5775 inches = 365.2430698 x {sqrt 5 / sqrt 2} x 10

All ancient cultures knew how to re-account their LONG COUNTS,

for planetary timelines by simple reasjustments.

the Mayans in particualr were quite adept at this.

One simple method to display this:

100 years of 365 days = 36500 <---

to quickly readjust:

just add 25 days:

36525 days .

Which brings us to more sophisticated geometry to present -- CALENDAR COUNT,

inherent within the ancient geometry infrastructures.

So the easiest way forward,

is to simply use the calendar counts:

Earth year = 365 days

Venus synod = 584 days

Criteria:

Khufu Pyramid slope tangent -- 14 / 11 = 4 / aPi .... where aPi = 22 / 7

The Khufu Pyramid slope is based on the ancient formula:

440 cubit base length -- 280 cubit height.

The ancient usage of -- aPi = 22 / 7 -- involves ancient Pi progressions,

and geometry functions as well.

I have seen attributions to the Pyramid of the Sun -- slope tangent as -- 2 / Pi <---

This is the same problem,

seen in faulty determinations of the Khufu Pyramid using 4 / Pi -- as the slope tangent.

The ancient formula is -- 4 / aPi.

Thus the Pyramid if the Sun,

much more likely would have the ancient formulas applied.

Using:

2 / aPi -- or -- aPi / 2 you retain ALL the connections to the Khufu Pyramid,

and the cubit systems.

The Pyramid of the Sun -- has scant reliable measurements,

to offer quality determinations of true slope.

However,

we see an unusual alignment of geometries,

that reveal:

the hidden code with the Earth year and the Venus synod in calendar count,

when working:

the slope geometry possibilities with --- aPi.

2 / aPi = 11 / 7 = 99 / 63

aPi / 2 = 7 / 11 = 63 / 99 = {4400 x cubit 20.618 18 18~} -- divided by -- {6912 x cubit 20.625}

The ancient GEOMETRY TESTING,

thus will apply the potential of the -- aPi -- ancient fundamental Pi progression constant.

{for ancient pi progressions -- see earlier work here}

The image diagram has FOUR STEPS -- using the method of the 180 degree triangle,

to display angle geometry tangents -- potential --

and thus document the resultant angle tangents:

Step 1

angle A -- Khufu pyramid slope

angle B -- slope tangent ----------- 2 / aPi ---

creates:

angle C

angle C -- displays the calendar count Earth year -- with cubit 20.625

angle C -- can account the Venus synod,

by simply replacing:

{9 x 365} -- with -- {5.625 x 584} ... and then aligning the equation into all whole numbers.

In

Step 1:

I also show how the sines and cosines are accomplished.

NOTE:

the Megalithic Yard -- 2.72 feet --- shows up in the sines and cosines

Step 2:

creates an isosceles triangle,

using the slope tangent:

aPi / 2 -- as angle B -- in the base of the triangle.

the purpose is to expose -- the Apex Angle tangent <----

NOTE:

the awesomely important result!

The Apex Angle tangent,

is EXACTLY

the Menkaure Pyramid height <---> using cubit 20.625 <---

213.8888888~ feet = 2566.66666~ inches

Now,

use the formula -- that I solely found and originated in 2009

Menkaure Pyramid dimensions,

times:

{9 / 4}

equals

Khufu pyramid dimensions.

so,

{9 / 4} x 213.8888888~ feet = 481.25 feet = 5775 inches = 280 x cubit 20.625 <---

Thus,

the Apex Angle -- of this triangle -- has the tangent = 2.138888888~ = {770 / 360}

-- note cubit 20.625 in the number 770 --

Step 3:

The first isosceles triangle,

is displayed to show the Khufu Pyramid Apex Angle tangent.

That tangent:

KP = {308 / 75} = 4.106666666~

This leads directly to step 4.

Step 4:

The two prior -- Apex Angles -- are installed into a new triangle.

the Khufu Pyramid Apex Angle:

KP

is set at the top of the triangle.

The Step 2 -- Apex Angle -- with tangent = 2.138888888~,

is situated,

as the bottom right corner angle,

of the 180 degree ful triangle.

Angle B2 ---> is the resultant angle geometry.

And there it is.

through the cycle of ancient geometry applications,

the new angle tangent,

for angle B2,

not only retains and prominently displays the calendar count Earth year 365 days,

in the tangent equation,

and,

the equation also reveals -- the numerator -- 355 --

from the important ancient Pi value:

355 / 113 = 3.14159292

the other highly important ancient pi value used with -- aPi --

in the ancient Pi progressions.

Using these two pi values in the progression of course,

produced the 10 decimal accuracy Pi value:

104348 / 33215

{see earlier work here}

Angle B2 -- can also be expressed with the 584 day Calendar Count Venus synod,

obviously:

584 x {56 x 20.625 cubit}

divided by

355 x 64 x 37

equals:

tangent angle B2

Step 5 ---> is a challenge --- what is tangent of angle E ...

angle D

tangent = aPi = 22 / 7

Yes, it reveals excellent ancient sacred geometry code.

...

Ancient cultures sacred geometries were accounted for by the first astronomers.

The planetary movements, especially the planetary synods,

the Lunar Month, and the Earth sidereal and tropical years,

were quite important to ancient study.

The very first and simplest astronomoical cycle,

was the Earth sidereal and the Venus synod.

These time lines were defined in CALENDAR COUNT <----

ie

Earth -- 365 days --- Venus synod to Earth -- 584 days.

The ratio, or fraction of these two:

5 / 8 = 365 / 584

initiates the ancient Phi progressions.

{see earlier work here}

365 and 584

operate together with the prime -- 73. 5 x 73 = 365 ... 8 x 73 = 584

Another important but simple cycle was created to Calendar Account for:

the Mars sidereal -- 687 days

and streamlines the Venus synod to Earth to: 583.95 days <---

NASA Venus synod = 583.92 days <---

so this cycle uses the prime -- 17 ---

17 x 687 Mars sidereal = 20 x 583.95 Venus synod.

Note that the prime 17 --- is particular to the Megalithic Yard 272 = 17 x 16,

and ancient Pi value 3.1416

3.1416 = {231 x 17} -- divided by -- 1250

where:

5 x 231 = 56 x cubit 20.625

Also -- 231 x {sqrt 5 / sqrt 2} = 365.2430698 --- that is my Grand Unification Tropical Earth Year.

You can also see that value work with a Khufu Pyramid height of 481.25 feet = 5775 inches,

or

280 x 20.625 cubit = 5775 inches = 365.2430698 x {sqrt 5 / sqrt 2} x 10

All ancient cultures knew how to re-account their LONG COUNTS,

for planetary timelines by simple reasjustments.

the Mayans in particualr were quite adept at this.

One simple method to display this:

100 years of 365 days = 36500 <---

to quickly readjust:

just add 25 days:

36525 days .

Which brings us to more sophisticated geometry to present -- CALENDAR COUNT,

inherent within the ancient geometry infrastructures.

So the easiest way forward,

is to simply use the calendar counts:

Earth year = 365 days

Venus synod = 584 days

Criteria:

Khufu Pyramid slope tangent -- 14 / 11 = 4 / aPi .... where aPi = 22 / 7

The Khufu Pyramid slope is based on the ancient formula:

440 cubit base length -- 280 cubit height.

The ancient usage of -- aPi = 22 / 7 -- involves ancient Pi progressions,

and geometry functions as well.

I have seen attributions to the Pyramid of the Sun -- slope tangent as -- 2 / Pi <---

This is the same problem,

seen in faulty determinations of the Khufu Pyramid using 4 / Pi -- as the slope tangent.

The ancient formula is -- 4 / aPi.

Thus the Pyramid if the Sun,

much more likely would have the ancient formulas applied.

Using:

2 / aPi -- or -- aPi / 2 you retain ALL the connections to the Khufu Pyramid,

and the cubit systems.

The Pyramid of the Sun -- has scant reliable measurements,

to offer quality determinations of true slope.

However,

we see an unusual alignment of geometries,

that reveal:

the hidden code with the Earth year and the Venus synod in calendar count,

when working:

the slope geometry possibilities with --- aPi.

2 / aPi = 11 / 7 = 99 / 63

aPi / 2 = 7 / 11 = 63 / 99 = {4400 x cubit 20.618 18 18~} -- divided by -- {6912 x cubit 20.625}

The ancient GEOMETRY TESTING,

thus will apply the potential of the -- aPi -- ancient fundamental Pi progression constant.

{for ancient pi progressions -- see earlier work here}

The image diagram has FOUR STEPS -- using the method of the 180 degree triangle,

to display angle geometry tangents -- potential --

and thus document the resultant angle tangents:

Step 1

angle A -- Khufu pyramid slope

angle B -- slope tangent ----------- 2 / aPi ---

creates:

angle C

angle C -- displays the calendar count Earth year -- with cubit 20.625

angle C -- can account the Venus synod,

by simply replacing:

{9 x 365} -- with -- {5.625 x 584} ... and then aligning the equation into all whole numbers.

In

Step 1:

I also show how the sines and cosines are accomplished.

NOTE:

the Megalithic Yard -- 2.72 feet --- shows up in the sines and cosines

Step 2:

creates an isosceles triangle,

using the slope tangent:

aPi / 2 -- as angle B -- in the base of the triangle.

the purpose is to expose -- the Apex Angle tangent <----

NOTE:

the awesomely important result!

The Apex Angle tangent,

is EXACTLY

the Menkaure Pyramid height <---> using cubit 20.625 <---

213.8888888~ feet = 2566.66666~ inches

Now,

use the formula -- that I solely found and originated in 2009

Menkaure Pyramid dimensions,

times:

{9 / 4}

equals

Khufu pyramid dimensions.

so,

{9 / 4} x 213.8888888~ feet = 481.25 feet = 5775 inches = 280 x cubit 20.625 <---

Thus,

the Apex Angle -- of this triangle -- has the tangent = 2.138888888~ = {770 / 360}

-- note cubit 20.625 in the number 770 --

Step 3:

The first isosceles triangle,

is displayed to show the Khufu Pyramid Apex Angle tangent.

That tangent:

KP = {308 / 75} = 4.106666666~

This leads directly to step 4.

Step 4:

The two prior -- Apex Angles -- are installed into a new triangle.

the Khufu Pyramid Apex Angle:

KP

is set at the top of the triangle.

The Step 2 -- Apex Angle -- with tangent = 2.138888888~,

is situated,

as the bottom right corner angle,

of the 180 degree ful triangle.

Angle B2 ---> is the resultant angle geometry.

And there it is.

through the cycle of ancient geometry applications,

the new angle tangent,

for angle B2,

not only retains and prominently displays the calendar count Earth year 365 days,

in the tangent equation,

and,

the equation also reveals -- the numerator -- 355 --

from the important ancient Pi value:

355 / 113 = 3.14159292

the other highly important ancient pi value used with -- aPi --

in the ancient Pi progressions.

Using these two pi values in the progression of course,

produced the 10 decimal accuracy Pi value:

104348 / 33215

{see earlier work here}

Angle B2 -- can also be expressed with the 584 day Calendar Count Venus synod,

obviously:

584 x {56 x 20.625 cubit}

divided by

355 x 64 x 37

equals:

tangent angle B2

Step 5 ---> is a challenge --- what is tangent of angle E ...

angle D

tangent = aPi = 22 / 7

Yes, it reveals excellent ancient sacred geometry code.

...