JB/018/120/001

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7 May 1815
Chrest. Tab. II Conclusion

The s64 points first mentioned points which thus placed
in the due and correspondent order in the order adapted to
the purpose exhibit the superficial figure called a square
the square composed of these 64 stands upon and
placed in any direction has for each of its sides of which
when the square placed in a certain position may be called the
base the line composed constituted out of 8 of these points. The whole
atom is composed of eight of these squares piled one upon
another constituting a cube, having for its base the
first mentioned square first mentioned. The number contained in the cube is then
the square of the number of contained in the square with relation to the square each of these squares a square
which, with relation to each of the lines of each of those
squares it is a cube, containing 64 eight times as many
of these points as any one of the squares contains, and
each such square, containing eight times as many points
as any one of its component lines contains.

Eight the number of the points in each of these lines is employed to
represent is the cube root of the 512 the whole solid composed of 512 such points, the whole number of the points
contained in the solid atom, which the form of which is by the supposition the that
form of a cube or die: eight this same number eight
is at the same time the square root the root of the square number of 64 which is the
number of the points contained in the each of the form surfaces
by which that atom is bounded, the form of each of which is
by the supposition the form of a square.

As often as in any institutional work in mathematics
an explanation of these terms square root and cube
root is undertaken to be given, the figure of a square
at least is it is believed, exhibited, and for the representation
of it a number of points or lines are employed.

Identifier: | JB/018/120/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-05-07	Marginal Summary Numbering	17 or 3 - 18 or 4
Box	018	Main Headings	chrestomathia
Folio number	120	Info in main headings field	chrest. tab. ii conclusion
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c6 / e8
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6529
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