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

Stick AT

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 that following

the root of  arithmetic where 

C = A + B

then the area of 

the new new triangle to be becomes

dependent on the hypotenuse generated from 

the last iteration becoming   re used as the new altitude

for the next

form forming

big old  trees

out of dirty old dirt

with little more

than a little iron ore

and some water

agitated by light

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