11-17-2017, 05:04 AM

...

This should be a memorable exercise in isosceles triangle geometry testing,

and how the ancient math integrates with modern constructs.

Khufu Pyramid slope = 14 / 11 = 4 / aPi

Note the 11 above --- as an eleventh.

Anytime you see a number that is a multiple of 11 <---

it will function with cubit 20.625.

Interesting thing about the 11ths,

is that in decimal form,

2,3,4,5,6,7,8,9 ---> divided by 11 ---> actually displays itself as a ---> ninety ninth <---

2 / 11 = 0.18 18 18 18 = 18 / 99

or

7 / 11 = 0.63 63 63 63 = 63 / 99

Now,

View the image math for a bit.

The Khafre Pyramid --- Side Face Angle K

is positioned:

as the peak or apex angle of the large isosceles triangle at the top of the image.

This of course produces the two bottom base angles ---> angle aa,

which is arctangent 2 = 63.43494882 degrees.

Divide angle aa ---> into two even angles a

and:

those two angles a each equal ---> arctangent {1 / phi}

The lines that delineate the {1 / phi} angle a

are drawn out to reflect off the interior sides of the isosceles triangle.

This reveals:

angle d --- = arcrtangent Phi

and

angle c --- = arctangent {5 Phi + 3}

angle c ... is kind of like ... the wtf angle ... that came out of nowhere,

with Phi,

all squirmholed into the tangent.

SO <---

the obvious test <---

is to test the angle c <---

in isosceles triangle positions.

ie,

it can only either be an apex angle ... or a base angle ... of an isosceles.

Jump to the chase:

when positioning angle c <---

into:

the two base angles of an isosceles triangle <---

a spectacular harmonic code event occurs,

and the apex angle

of this new isosceles triangle,

has the tangent:

2 / 11 = 18 / 99 = 0.18 18 18 18~

That is a profound discovery --- believe it or not.

Seeing that result --- with arctangent {18 / 99},

as the apex angle,

the obvious question is:

will the other ---> 99ths {as 11ths},

-----> 3, 4, 5, 6, 7, 8, 9 ---> / 11,

= --> 27, 36, 45, 54, 63, 72, 81 ---> / 99,

will the above selected 99ths,

supply another Phi impregnated tangent into the base angles of another isosceles triangle?

The short answer,

NO,

disappointingly,

no more phi base angle tangents emerged in the testing,

but other wild results occured.

Note in the selection above: 7 / 11 = 63 / 99 = aPi / 2

{aPi = 22 / 7}.

thus,

the Khufu Pyramid harmonics should predominate that selection in the geometry testing.

each one of those 99ths ---> has to be tested as an apex angle tangent.

the geometry testing is to determine <---> what the resultant BASE ANGLES reveal,

in the forms of their tangents.

Here is the preliminary image,

and the results discussion will follow tomorrow.

This should be a memorable exercise in isosceles triangle geometry testing,

and how the ancient math integrates with modern constructs.

Khufu Pyramid slope = 14 / 11 = 4 / aPi

Note the 11 above --- as an eleventh.

Anytime you see a number that is a multiple of 11 <---

it will function with cubit 20.625.

Interesting thing about the 11ths,

is that in decimal form,

2,3,4,5,6,7,8,9 ---> divided by 11 ---> actually displays itself as a ---> ninety ninth <---

2 / 11 = 0.18 18 18 18 = 18 / 99

or

7 / 11 = 0.63 63 63 63 = 63 / 99

Now,

View the image math for a bit.

The Khafre Pyramid --- Side Face Angle K

is positioned:

as the peak or apex angle of the large isosceles triangle at the top of the image.

This of course produces the two bottom base angles ---> angle aa,

which is arctangent 2 = 63.43494882 degrees.

Divide angle aa ---> into two even angles a

and:

those two angles a each equal ---> arctangent {1 / phi}

The lines that delineate the {1 / phi} angle a

are drawn out to reflect off the interior sides of the isosceles triangle.

This reveals:

angle d --- = arcrtangent Phi

and

angle c --- = arctangent {5 Phi + 3}

angle c ... is kind of like ... the wtf angle ... that came out of nowhere,

with Phi,

all squirmholed into the tangent.

SO <---

the obvious test <---

is to test the angle c <---

in isosceles triangle positions.

ie,

it can only either be an apex angle ... or a base angle ... of an isosceles.

Jump to the chase:

when positioning angle c <---

into:

the two base angles of an isosceles triangle <---

a spectacular harmonic code event occurs,

and the apex angle

of this new isosceles triangle,

has the tangent:

2 / 11 = 18 / 99 = 0.18 18 18 18~

That is a profound discovery --- believe it or not.

Seeing that result --- with arctangent {18 / 99},

as the apex angle,

the obvious question is:

will the other ---> 99ths {as 11ths},

-----> 3, 4, 5, 6, 7, 8, 9 ---> / 11,

= --> 27, 36, 45, 54, 63, 72, 81 ---> / 99,

will the above selected 99ths,

supply another Phi impregnated tangent into the base angles of another isosceles triangle?

The short answer,

NO,

disappointingly,

no more phi base angle tangents emerged in the testing,

but other wild results occured.

Note in the selection above: 7 / 11 = 63 / 99 = aPi / 2

{aPi = 22 / 7}.

thus,

the Khufu Pyramid harmonics should predominate that selection in the geometry testing.

each one of those 99ths ---> has to be tested as an apex angle tangent.

the geometry testing is to determine <---> what the resultant BASE ANGLES reveal,

in the forms of their tangents.

Here is the preliminary image,

and the results discussion will follow tomorrow.