08-21-2019, 02:29 PM

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Grand Unification of Ancient and Modern Geometry and Mathematics

The Square Root Two Cubits:

The end game of this post is the isosceles triangle,

at the very bottom right of Image Three <---

This contains dramatic Convergence Dynamics,

in ancient planetary timeline pyramid pi cubit system code.

Image One:

The pyramid is built upon the height using the standard 280 cubits,

times:

the square root two cubit 20.61923374~ inches.

The height is then expressed in several equations that utilize square root two.

Note the equation on the image upper right:

81648 / by square root 288 <---

The negative tangent of ---> square root 288,

is the Full Apex Angle tangent,

of the Khafre Pyramid Corner Angles crossectional isosceles triangle.

In the pyramid in the image,

I have highlighted the Corner Angles with thin blue lines.

This is because that is where this exercise goes to the end game.

A three slope pyramid,

with a very slightly rectangular base,

is presented with these three,

slope angle tangents:

4 / pi

4 / aPi

4 / {sqrt 800 / 9} = sqrt 1.62

Two parallel base lengths are 756 feet each.

These 756 foot lengths create one specific slope angle with the fixed height.

The other two parallel base lengths, have an offset center point along the base line,

to properly display the -- half base lengths, which create the other two slopes.

The vertical pyramid height line simply shifts to accommodate the two half base lengths.

The vertical pyramid height line remains totally vertical in a three slope pyramid.

Applying the slope tangents to the square root two generated pyramid height,

the three slope positions are shown as A, B, and C.

The base lengths in inches are shown as equations with the respective cubits,

and the "ancient pi values" associated with the cubit equation.

At the bottom of the image you see the half base length as:

378 feet = 4536 inches

4536 inches = 70 x aPi x cubit 20.618 18 18~

aPi = 22 / 7 ---- 1134 / 55 = 20.618 18 18~

Footnotes:

-------------------------------------------------------------------------------

Image Two:

This presents the square base pyramid,

with all four base lengths set at 756 feet.

440 x cubit 20.618 18 18~ = 9072 inches = 756 feet.

The square root two cubit generated height,

280 x 20.61923374~ inches,

is the same height as seen in Image One.

I have outlined the Pyramid Corner Angles in secondary thin blue lines.

One thin blue line,

is shown as well along the base diagonal. <---

This outlines the:

cross sectional isosceles triangle <---

with designated points:

x, y, and z.

Seen as well in the upper right,

with:

Full Apex Angle C <---

Obviously a second identical isosceles triangle cross sects the prior one shown,

through the opposite Corner Angles,

but this graphic design isolates only the one seen in the image.

-----

Image Three:

Next,

a series of these cross sectional isosceles triangles,

from associated cubit system generated pyramid geometries are compared,

and also defined further in ancient cubit system code.

Depending on which cubit generated geometry one uses to create a pyramid,

with the array of "ancient Pi values" and modern Pi,

with the slope tangent formula:

4 / by Pi value = slope tangent.

The cubit generated geometries always produces Corner Angles,

with their own set of criteria.

I will display three possibilities with relative mathematics.

Pyramid with slope tangent {4 / Pi},

has a Corner Angle tangent:

-- 4 / by {Pi x sqrt 2} --

equals:

0.900316316~

Pyramid with slope tangent {4 / 3.1416},

has a Corner Angle tangent:

-- 4 / by {3.1416 x sqrt 2} --

equals:

0.900314211~

Pyramid with slope tangent {4 / aPi}, ... aPi = 22 / 7,

has a Corner Angle tangent:

-- 4 / by {aPi x sqrt 2} --

equals:

0.899954085~

NOTE: how all the above Corner Angle slope tangent decimals <---

hover suspiciously and very closely to:

0.9 = 9 / 10

0.900316316~ --- Pi geometry

0.900314211~ --- 3.1416 geoemtry

0.899954085~ --- aPi --- Khufu Pyramid corner angle tangent in decimal.

It is the Square Root 2 cubit 20.61923374~ inches <---

that creates the perfect,

cross sectional isosceles triangle of that pyramid geometry,

to ISOLATE,

the Corner Angle slope tangent : 0.9 = 9 / 10

Isosceles triangle on left side of the central section:

Height = 280 x cubit 20.61923374~ inches.

Half Base Lengths:

378 feet = 4536 inches = 220 x cubit 20.618 18 18~ {1134 / 55}.

The pyramid corner angle -- angle B -- is defined two ways:

The angle tangent = 0.9 = {9 / 10}

and,

the angle tangent is defined in cubit system process:

cubit 20.61923374~

divided by:

{16.2 x sqrt 2}

equals:

0.9

ONLY the Square Root Two Cubit process,

will produce the PERFECT:

Full Apex Angle Tangent C

with:

the Ancient Planetary Calendar Count Synods of Saturn and Jupiter

as the angle tangent:

Ten Saturn synods with Earth,

3780,

divided by:

399 day Jupiter synod with Earth.

On the right hand side of the central section:

I have taken the NASA data,

for the:

Ten Saturn synods: 3780.9 days

One Jupiter synod: 398.88 days

and,

installed them as the fractional slope tangent in the Full Apex Angle.

The geometry is then back tracked

to the:

Corner Angles,

which have the tangent defined as the:

New Cubit 20.62039981 inches <---> generated by the NASA data <---

The base corner angles seen in both isosceles triangles,

are almost exactly: 1 / 1000 degree differential.

There will be one more post on the Square Root Two cubits,

and then on to the:

3.1416 Pi cubit system dynamics.

...

Grand Unification of Ancient and Modern Geometry and Mathematics

The Square Root Two Cubits:

The end game of this post is the isosceles triangle,

at the very bottom right of Image Three <---

This contains dramatic Convergence Dynamics,

in ancient planetary timeline pyramid pi cubit system code.

Image One:

The pyramid is built upon the height using the standard 280 cubits,

times:

the square root two cubit 20.61923374~ inches.

The height is then expressed in several equations that utilize square root two.

Note the equation on the image upper right:

81648 / by square root 288 <---

The negative tangent of ---> square root 288,

is the Full Apex Angle tangent,

of the Khafre Pyramid Corner Angles crossectional isosceles triangle.

In the pyramid in the image,

I have highlighted the Corner Angles with thin blue lines.

This is because that is where this exercise goes to the end game.

A three slope pyramid,

with a very slightly rectangular base,

is presented with these three,

slope angle tangents:

4 / pi

4 / aPi

4 / {sqrt 800 / 9} = sqrt 1.62

Two parallel base lengths are 756 feet each.

These 756 foot lengths create one specific slope angle with the fixed height.

The other two parallel base lengths, have an offset center point along the base line,

to properly display the -- half base lengths, which create the other two slopes.

The vertical pyramid height line simply shifts to accommodate the two half base lengths.

The vertical pyramid height line remains totally vertical in a three slope pyramid.

Applying the slope tangents to the square root two generated pyramid height,

the three slope positions are shown as A, B, and C.

The base lengths in inches are shown as equations with the respective cubits,

and the "ancient pi values" associated with the cubit equation.

At the bottom of the image you see the half base length as:

378 feet = 4536 inches

4536 inches = 70 x aPi x cubit 20.618 18 18~

aPi = 22 / 7 ---- 1134 / 55 = 20.618 18 18~

Footnotes:

Quote:Lots of fractions, and square roots, and Pi values, etc.,

have infinite a random or replicating series in decimal placements.

When applying cubits and pi values in calculations you have to use the fractions <---

Cubit 20.618 18 18 18~ {replicating decimal to infinity - 18 18 18},

equals:

1134 / 55 <---

If you just use -- 20.618 18 18 clicked in your hand calculator,

there may be a slight difference in the tenth decimal of your results.

When you click the fraction:

1134 / 55

into your hand calculator,

it automatically rounds off at the tenth decimal placement: 20.618 18 18 2~

Pi cubit 20.62648062~ for instance,

is actually:

{18 x 360} / Pi

Square Root Two cubit 20.61923374~ = 14.58 inches x square root two,

where 14.58 inches,

is the Egyptian remen foot in inches.

So when you see the pyramid height,

set by:

Square Root Two cubit 20.61923374~ inches -- x 280 cubit,

equals:

5773.385447~ inches = {8164.8 / sqrt 2}

Point being:

if you use just the ten decimal placements 5773.385447~ inches,

in your calculations,

you may get a slight differential in the tenth decimal placement of results.

But if you use the equation for the height:

{8164.8 / sqrt 2}

then your calculations will adjust perfectly.

All the math is EXACT <---

-------------------------------------------------------------------------------

Image Two:

This presents the square base pyramid,

with all four base lengths set at 756 feet.

440 x cubit 20.618 18 18~ = 9072 inches = 756 feet.

The square root two cubit generated height,

280 x 20.61923374~ inches,

is the same height as seen in Image One.

I have outlined the Pyramid Corner Angles in secondary thin blue lines.

One thin blue line,

is shown as well along the base diagonal. <---

This outlines the:

cross sectional isosceles triangle <---

with designated points:

x, y, and z.

Seen as well in the upper right,

with:

Full Apex Angle C <---

Obviously a second identical isosceles triangle cross sects the prior one shown,

through the opposite Corner Angles,

but this graphic design isolates only the one seen in the image.

-----

Image Three:

Next,

a series of these cross sectional isosceles triangles,

from associated cubit system generated pyramid geometries are compared,

and also defined further in ancient cubit system code.

Depending on which cubit generated geometry one uses to create a pyramid,

with the array of "ancient Pi values" and modern Pi,

with the slope tangent formula:

4 / by Pi value = slope tangent.

The cubit generated geometries always produces Corner Angles,

with their own set of criteria.

I will display three possibilities with relative mathematics.

Pyramid with slope tangent {4 / Pi},

has a Corner Angle tangent:

-- 4 / by {Pi x sqrt 2} --

equals:

0.900316316~

Pyramid with slope tangent {4 / 3.1416},

has a Corner Angle tangent:

-- 4 / by {3.1416 x sqrt 2} --

equals:

0.900314211~

Pyramid with slope tangent {4 / aPi}, ... aPi = 22 / 7,

has a Corner Angle tangent:

-- 4 / by {aPi x sqrt 2} --

equals:

0.899954085~

NOTE: how all the above Corner Angle slope tangent decimals <---

hover suspiciously and very closely to:

0.9 = 9 / 10

0.900316316~ --- Pi geometry

0.900314211~ --- 3.1416 geoemtry

0.899954085~ --- aPi --- Khufu Pyramid corner angle tangent in decimal.

It is the Square Root 2 cubit 20.61923374~ inches <---

that creates the perfect,

cross sectional isosceles triangle of that pyramid geometry,

to ISOLATE,

the Corner Angle slope tangent : 0.9 = 9 / 10

Isosceles triangle on left side of the central section:

Height = 280 x cubit 20.61923374~ inches.

Half Base Lengths:

378 feet = 4536 inches = 220 x cubit 20.618 18 18~ {1134 / 55}.

The pyramid corner angle -- angle B -- is defined two ways:

The angle tangent = 0.9 = {9 / 10}

and,

the angle tangent is defined in cubit system process:

cubit 20.61923374~

divided by:

{16.2 x sqrt 2}

equals:

0.9

ONLY the Square Root Two Cubit process,

will produce the PERFECT:

Full Apex Angle Tangent C

with:

the Ancient Planetary Calendar Count Synods of Saturn and Jupiter

as the angle tangent:

Ten Saturn synods with Earth,

3780,

divided by:

399 day Jupiter synod with Earth.

On the right hand side of the central section:

I have taken the NASA data,

for the:

Ten Saturn synods: 3780.9 days

One Jupiter synod: 398.88 days

and,

installed them as the fractional slope tangent in the Full Apex Angle.

The geometry is then back tracked

to the:

Corner Angles,

which have the tangent defined as the:

New Cubit 20.62039981 inches <---> generated by the NASA data <---

The base corner angles seen in both isosceles triangles,

are almost exactly: 1 / 1000 degree differential.

There will be one more post on the Square Root Two cubits,

and then on to the:

3.1416 Pi cubit system dynamics.

...