JB/135/075/002

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Arithmetic Dec. 11 1794

l

ength, your lines
must be each of
them an inch in
breadth: and universally,
make your
side as short as you
will, if the length
of it consists of any
number of equal
parts, your re the
breadth of your radical
line must be
equal to the length
of one of those parts.

In geometry then, by
the square of a
line can not be
understood athe square
formedcapable by the repetition
of a line, as
in arithmetic by
the square of a
number is understood
byone number
formed by the repetition
of another
number.

By the square of
a line must be
understood a square rectangular
figure leaving one of its
sides and being a
square every one
of its sides of a
length equal to that
of the line: a square
having that line
for one of its boundaries,
and three lines equal to that line
for the three other boundaries.

If the square figure so formed is to represent, to exhibit exemplify the dea of a square number it must be divided into lines not of the geometrical and fictitious sort having no breadth, but of the material and real sort having a thickness breadth equal to the breadth of a unit of that sort of which the number is in question of that sort which is said to exist in the number in question of which the number in question is said to be the number. If the subject in question is a field, and the number of in question the number of square feet in that field, the lines by the repetition of which the square figures in question is composed must be lines of a foot broad.

Identifier: | JB/135/075/002"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	075	Info in main headings field	arithmetic
Image	002	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	46193
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