JB/018/117/001

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7 May 1815
Chrest.

1. Roots above ground; branches under ground
2. of the square cube images excepted by the two
3. Quere relation of fractions to roots?
4. Proof off some of this to for is it
already under that head.

Though, as above, in itself and of itself, where were
with no correspondent and opposite idea required to be
expressed along with it, power might had, as above, been
not altogether ill-adapted to the purpose, yet this incapacity
to find another word of finding its match in any other word, is such
an objection to it as seems insuperable and conclusive.

Retaining the word root, suppose for suppose that to the word power
for giving expression to decrease in quantity, and descent
in altitude situation, suppose that, retaining the word root, for
giving expression to increase and ascent in the same proportion,
the word branch were employed. In the ascending large Branches Ascending in the sky
we might have as many as powers: descending, roots
we might have as many as branches: roots –not
square roots and cube roots indeed; after which our
stock of roots would be at an end exhausted: but 1st roots
and 2d roots, and 3d roots, and so on down to the centre
of the earth, in exactly as many as branches: for every
branch a root, of wherever a root were wanted: for
every root a branch, wherever a branch were wanted.

The plain and standard number neither multiplied
by itself nor divided neither increased nor diminished
shall it be root or branch or both or neither? Thus In this Shall it
not be trunk? case in the case of logarithms, there are points which would
require to be settled, ambiguities which would require to be
converted ascertained into certainty or cleared up.

Identifier: | JB/018/117/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-05-07	Marginal Summary Numbering	11-12
Box	018	Main Headings	chrestomathia
Folio number	117	Info in main headings field	chrest.
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c4 / e5
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6526
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