JB/018/115/001

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7 May 1815
Chrest. Tab. II

Unfortunately, coupled as it is with the expressions used
for the designating of the those other objects that are so
intimate closely related to and inseparably connected
with it, the the word root, considering the material
image which it cannot fail to present bring to view, and of which
if it did not present in some sort give a view it would be altogether insignificant
insignificative and inexpressive, seems not very happily altogether well
adapted to suited to the purpose.

Cor In correspondency with the word root is employed
the word power: root meaning being in a certain proportion,
indicative of decrease; power, in the same proportion of
increase. Here, with no other difference than that between
decrease and increase, the things objects themselves
match exactly. But very badly to the those symbols
match with each other that are thus employed for the
designation of those same objects, very badly do they match with
each other.

1. No image correspondent in any way to that
which is exhibited by the word root is exhibited by
the word power. In itself and by itself it seems not the calculated adapted
to the convergence of the idea which it is employed to convey: but
with to the correspondent idea for the
expression of which
the word root is
employed it has no
analogy: it does not
match with it, of
itself neither of them
has any tendency
to call up to mind bring to view
the other.

2. On the other hand, power has the advantage –
and an indispensable one it is – of carrying the
increase to any number of degrees and consequently
the length – say also the height – to any extent that
can be desired.

On the other hand when for expressing decrease
and thus, in the scale of magnitude, descent, you employ
the word root, at the first shap step given in the descent descending line
in the line ladder of descent, you have the square square root
the at the next lowest the cube root; but there your stock
of roots, of different species of roots, every one each less and
running plainly down lower than the preceding one is at an end.

Identifier: | JB/018/115/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-05-07	Marginal Summary Numbering	6-8
Box	018	Main Headings	chrestomathia
Folio number	115	Info in main headings field	chrest. tab. ii
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c3 / e3
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6524
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