Zευσ Ηερμεσ ανδ Απωλλον everywhere you look
The mnemonics created by the
Egyptian Architects and builders
are found everywhere the natural
relationships that the square root
of two and the square root of three
show themselves as the 'gods' of
basic geometry
The basic geometry of the Equilateral triangle
is the root geometry of the Rhombus
the not so square square
ruled by the Square
root of three
now
The square root of two is
always the multiplier
defining the diagonal of
the square square
in building with
stone or wood and
in most metal applications
accuracy to one one thousandth
is better than good enough
1.414 is the best
reasonable
approximation
then within 2 thousandths
of the infinite value
that is the 'perfect'
value for
the square root of two
to use for this calculation
the root value then of
the square root of two
the number required to
double the area of any
square of side length X
is 414
The Egyptians made this value
virtuous and virtually unforgettable
by creating the mnemonic system
using number values for
LETTERS the symbols
which serve the purpose
of explaining things
Αρετέ
then has the value
414
the virtuous value of
the square root of two
which you are told by
"modern Science"
is an irrational number
which can not be expressed
as the rational relationship of
two integers and a value
that has no actual finite end
1.4142135623730950488016...etc
is not relevant in building with
stone where accuracy to one one thousandth
i.e. 1.414
is more than enough accuracy
The imaginary 'problem' of doubling
the square is not a problem once
one has a firm grasp of the virtue
of the value of 414 the root of
the square root of two and the
virtue required to double any
square given the value of the
length of the side of the square
one is required to be squaring
Next on the short list of roots that
make a difference is the root of the
equilateral triangle and the real
relationship that most fools do not
know anything about but guitar tuners
such as Pythagoras did after learning
all about triangles from his friends
across the sea in Egypt where triangles
were not things they were afraid of
.png)
Now
As demonstrated in the diagram above
two equilateral triangles form the
form commonly called the rhombus
another popular "word" to define
this un square square is the diamond
a term familiar to millions of idiots
who spend trillions of hours and
more dollars watching overpaid
ball chasers stand around waiting
for something interesting to happen
involving a stick and a small sphere
...dog shows are more interesting
As we already know by now the
virtuous diagonal of the square
square is always equal in both
directions and the area of the
square square is always equal
to the side length multiplied
by itself where the magnetic
words in the phrases
square and square root
come from from long
long long ago
As we already know
with certain certainty
that squaring the
diagonal of a
square square
produces a
form of
double the original
square size and of
square square form
if we multiply the
two diagonals by
each other and
divide the answer
by two we find
the same
virtuous
value
found
by multiplying
the two not commonly
called diagonal sides
by each other
.png)
now as we see in the examples above
the diagonal of the square square of
side length two is the square root
of the square of eight
2.828
and 2.828 x 2.828 = 8
and 8 / 2 = 4
similarly for the example above
the diagonal of the square square of
side length three is the square root
of the square of eighteen
4.242
and 4.242 x 4.242 = 18
and 18 / 2 = 9
now we know
that multiplying the diagonals
together and dividing the
product by two
produces the
area of the
square
.png)
now as shown above
we know without having
to go to graduate school
to be learning about pythagoras
the guitar tuner and his high school
trip to Egypt where he learned about
squares and square roots and lines that
are related to each other in a triangle
containing a right angle which is going to
be every triangle divided by the line drawn
perpendicular to the long side connecting the side
and the point opposite the longest side often given the
hypothetical name the hypotenuse a useful thing to know
.png)
now
the Rhombus or the not so
square square diamond
form comes in an
infinite number of
different sizes
and so where
the square
has two
equal
diagonal lengths
the rhombus has
two not so equal
diagonal lengths
Now the area of the
not so square square
formed by the equal
sided and so called
equi lateral tri angle
is also a function of
what looks more like
so called straight lines
than the diagonal of the
square square as the sides
of the rhombus are diagonal
looking as a result of the two
different not so diagonal lines which
define the two different lengths that form
all rhombus forms
Where the area of the square is always
either found by taking the same length of
the side length multiplied by the side length
or found by taking the length of the diagonal
multiplied by itself in that square old way
and dividing the product of the two by two
the area of the rhombus is determined by
the side lengths of the four imaginary
triangles that form the two scalene
triangles made of three sides of
three different lengths
this is something that
you need to read
the Timaeus to
get to the
root of
the
rt
of
.png)
Now when you do that
you will see with two
eyes that knowing the
two side lengths of any
rhombus one can find the
squared up diagonals that
hold the root knowledge
to assessing the area using
the square diagonal method
multiplying the two and then
dividing by two you see
in the idea of the laws
governing the sides
of square squares
and not so square
squares we can
look for
our
friends
ΑΠΩΛΛΟΝ
ΗΡΜΕΣ
and
ΖΕΥΣ
who are all hiding
in plane and plain
sight in the circle
that contains the
triangle that
everyone
forgot
about
As above so below we
remember that the
'words' that we
use were all
once upon
a time
created
as
mnemonics used
to remember
things that
are worth
remembering
in G
where 192
is the G note
that the mnemonic
Μ Α Ρ Ι ΑΜ
was created
to make
memorable
as the product
of 24 x 8
and the note
found below
A3 - 216
the younger
brother of
A4 - 432
the radius
of the sun
now
to begin at the beginning
with the smallest number
lets us take a look at
ΗΡΜΕΣ
the mnemonic for
the number 353
the first thing we find
about 353 is that when
multiplied by the square root
of three we find 611.413
the number that was
made into the
mnemonic
ΖΕΥΣ
612
where we will find
that 612 divided by
the square root of
three is 353.33
The first place we can find
the square root of three is
inside the fish shaped form
that is formed from the unit
circle when the unit circle
is found overlapping the
unit circle equally
since we know a thing or two
about triangles and the forms
formed by triangles when two
or more are gathered in some
name yet to be determined
we can scale this idea up to
multiples of 1.732 as above
so below
using the fishy idea of circles
circling circles we find that
a circle with the radius 353
produces a fish with the length
611.414 close enough for
horeshoes
.png)
similarly we find the circle with
diameter 612 when put next to
itself produces the fish with
length 1060.015 the horseshoe
approximation for the value
1061 that the mnemonic
ΑΠΩΛΛΟΝ was created
to make memorable
.png)
Now
to make memorable
the three mnemonics as
a group of ideas relating this
to that and the other thing
we might first do some addition
the basic idea of arithmetic
and find that
353 + 1061 = 1414
which any square
aficionado is
going to
recognize
as the
root
of
2
and once we have established
fantastic coincidence we might
look at where the three names
might be representing an idea
involving other circular
relationships
.png)
Now
to make memorable
something about something
one might go fishing and see if
the fish has something to say today
.png)
Now
you can accept this as a
modern day joke or you can
take this for what this is and
remember to remember what a
few too many of us appear to have
forgotten while billions and trillions
of dollars are being spent to produce the
nonsense you find below
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