Things to remember

As we know from our good friend Euclid

A friend of Plato and of Socrates

The right Triangle

Defines the

ideas   of 

Altitude

Base

and

Hypotenuse

as

the three

sides from which

the triangle is formed

as that form

perfectly

see

 The root of two now

becomes the function of the one

the real relationship defined 

then by one as line

now expressed 

by one

as all

form

From form 

Comes form

as

 form

becomes function

function becomes form

forming the new

 from form

formed

as

I

D

E

a

Angle now being

shown to be

what it 

is

The idea of D hiding  behind G backwards

as opposed to  G hiding in D 

upside down where

 form uses

root

to

create

root~s equally

from the one

in more ways than

one can 

shake

a

s

t

i

c

k

 AT

Circling the square

quarter by quarter

unit by unit

one by one

Volume as the formless container of form

is the active Geometry actor of

Generation

as

containment

in G

With a Right angle Defined

Radius 

then defineD doubly

 in G 

as

Θ

 A radient orb

resulting sphere

where radius

reduces

cylinder contained

self

to the root relationship

still found

at the radius now

defining the two

dimensions

as cylinder

cut by the

plane of 

X

into

A

/-\

 slice of 

volume

circling

a

Sphere

where

the

cylinder of

contained

volume

re contained

equally

at

R

The

Radius

is spun into 

A

SP

He

Re

now

re contained at

2/3 

the

cylindric volume see 

In the square world

filled equally with 

equilateral triangles

defined at the root of 2

the form forming

a regular containment 

contains a form of eight 

equal sides

joined by 

a plane square

forming form in the angular vowel filled world of 

Volume volume contracts as its

self organizing V Character dictates a reduced contained

containment valued at

the revalue revelation angular 

1/3 rate

where

2/3 the former

volume is 

re arranged

into

containment

given the original

container

under the

influence of

the root of 2

when not pretending to be

a better idea of D 

than G  is 

as

G

Now that form is all formed up

one can easily see following the

the root of the arithmetic tree

C = A + B

 the area of 

the new new triangle to be becomes

dependent on the hypotenuse generated from 

the last iteration becoming  used again as the new root

to gain the next larger idea of

the little idea of one

as

form becoming

big old trees

made of

 of dirty old water

with little more

than a little iron ore

and some Nitrogen

bent into

 something

useful

when

agitated by light

Click on the square above to see the movie

that the scientists have been missing

since they all stopped reading Plato

.:.

SOCRATES: And when a man is asked what science or knowledge is, to give in answer the name of some art or science is ridiculous; for the question is, 'What is knowledge?' and he replies, 'A knowledge of this or that.'

THEAETETUS: True.

SOCRATES: Moreover, he might answer shortly and simply, but he makes an enormous circuit. For example, when asked about the clay, he might have said simply, that clay is moistened earth—what sort of clay is not to the point.

THEAETETUS: Yes, Socrates, there is no difficulty as you put the question. You mean, if I am not mistaken, something like what occurred to me and to my friend here, your namesake Socrates, in a recent discussion.

SOCRATES: What was that, Theaetetus?

THEAETETUS: Theodorus was writing out for us something about roots, such as the roots of three or five, showing that they are incommensurable by the unit: he selected other examples up to seventeen—there he stopped. Now as there are innumerable roots, the notion occurred to us of attempting to include them all under one name or class.

SOCRATES: And did you find such a class?

THEAETETUS: I think that we did; but I should like to have your opinion.

SOCRATES: Let me hear.

THEAETETUS: We divided all numbers into two classes: those which are made up of equal factors multiplying into one another, which we compared to square figures and called square or equilateral numbers;—that was one class.

SOCRATES: Very good.

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Title: Theaetetus

Author: Plato

https://www.gutenberg.org/files/1726/1726-h/1726-h.htm