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<head><!-- Pencil heading -->Arithmetic Dec. 11 1794</head>
 


length, 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, <unclear>your re</unclear> the breadth of your <hi rend="underline">radi</hi>cal line must be equal to the length of one of those parts.  In geometry then, by the <hi rend="underline">square of a line</hi> can not be understood the square formed<add>capable</add> by the repetition of a line, as in arithmetic by the square of a number is understood <unclear><gap/></unclear><add>one</add> number formed by the repetition of another number.  By the square of a line must be understood a <del>square</del> <add>rectangular</add> <add>figure</add> 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 thay line for the three other boundaries.


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Arithmetic Dec. 11 1794

length, 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 the square formedcapable by the repetition of a line, as in arithmetic by the square of a number is understood one 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 thay line for the three other boundaries.



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

Box Contents

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