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7 May 1815
Chrest. Tab. II Conclusion
Square root, cube root – for the expression of relative numbers
how come those names of figures – and those is rather both of them, figures of solids – to be employed?
No where has any expression which seemed altogether as clear are
here as yet found.
In this view, by what follows the following observations will any light be strewn upon
the subject?
Quantity Matter is infinitely divisible – matter is not
infinitely divisible – both these propositions can not be
true – one of them can not but must be true – which of them is
true – it is scarce possible it seems not possible to prove. Let the last
For the present purpose let the latter be supposed to be
true: true or not not true it is rather more distinctly
conceivable than the other, and for the present purpose
the only one that can serve. For the present purpose
let it then be supposed true.
On this supposition, all matter is composed of atoms,
and let them be all of them, of the same size.
In Taken by itself itself one of those atoms make
is a point a physical point: and the more physical
point may serve as and for, and gives a sort of physical kind of
exclusion by a mathematical use.
These least smallest existing atoms suppose them
all or some of them cubes, so many perfect dice.
These dice are may be conceived to be composed each of them composed of a determinate
number of them particles of the same form, which though never in fact separated, may
as easily be conceived to be separable and separated as if
they really were. Of The rem Of These component for particles of
the atom call them points: and let the number of them be exactly 512. The above
Ranged in a column regular, 8 of these points make a
line: line: the lines being all of them, straight and ranged in the correspondentappropriate order, one above another,
eight of them, lines each containing eight points, compose make
a surface –a square surface of a square form, such as that exhibited by
a chess-board: & ranged
again in a correspondent
order, each of
eight of these chess-board
surfaces forms compose the atomic
die cube or die.
Identifier: | JB/018/119/001 "JB/" can not be assigned to a declared number type with value 18.
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