JB/135/076/003

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As the truth of the
explanation of the
meaning of the expression
square root may
be exemplified by a
plain figure like that
of a Draught board
exhibiting sufficient containing a competent
number of squares
so may the truth
of the explanation of
the meaning of the
expression cube root</hi
be exemplified by
a sufficient number
of <hi rend="underline">dice.

Upon a line of 3
dice considered taken as a
base as root you
may so heap up lines
of dice (2 in number,
making 3 lines in
the whole) that of the
figure composed of
them two of the surface
shall exhibit
each of them the
appearance of a square
which done, upon the square thus
formed, taking it for
a root or base, you
heap up similar sets
of dice, 2 in number,
(making, in the whole 3 such sets
of lines of dice, three
dice in a line) in such
manner that the figure
composed of these
525 dice shall itself
be of the form of a die. In

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In the same manner
you may make
a cube or die
a compound cube
or die by lines
and sets of 2 dice
of composed of 4
dice, or the square
of the square of 2
dice, of 64 dice,
or the square of the
square of 4 dice,
and so on: but
not of any of num
intermediate number
of dice between 8
27, and 64, and
so on forth:

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Surd in its archetypal meaning is deaf: analogically, & therefore better ashizous, rootless. Second, 3d, 4<hi rend="superscript">superscript textth</hi> power of a number: the expression elliptical: at length it means the 2d, 3d, 4th product of the self-multiplicative power of the number. The tir?? power, thus accompanied is proper and significative: since no other power number in question is capable of producing the product in question, at least without the help of some other number. Biquadrate used improperly for the 4th power of a number: it should rather be applied to the 3d power, to the cube: the cube being the square of the square: being to the square what the square is to the line A circulate is a compound repitend: i:e: a repetend composed of several figures instead of one.

Identifier: | JB/135/076/003"JB/" can not be assigned to a declared number type with value 135.
Date_1	1794-12-11	Marginal Summary Numbering
Box	135	Main Headings
Folio number	076	Info in main headings field	arithmetic
Image	003	Titles
Category	rudiments sheet (brouillon)	Number of Pages	2
Recto/Verso	recto	Page Numbering
Penner	jeremy bentham	Watermarks
Marginals		Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	46194
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