JB/018/049/001

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Genealogical Table
1
or 10
Reason for this
insisting definitions
and axioms.
They have no
correspondent diagrams
whereby
they can be
subjects of
the Exercises
as the propositions
are

In the instance case of the definitions and the axioms what
seems to renders this constantly concomitant exhibition necessary, and not to the exclusion
in the instance<add>case</add> of the propositions is that in the case of the definitions
and the axioms there exists not any such means of
elucidation and as has place in the case of the propositions
viz by means of the correspondent pair of reciprocal exercises affordedcomposed
by the purely verbal mode of designation in the one case
and the purely diagrammatic in the other.

In some instances the same proposition will be
susceptible of demonstration from any one of or more different or 11
So many different sets of
as a
proposition is derivable
from
facts
sources: as wheresoever this multiplicity has place,
the kite will have the corresponding number of tails.

As to the border The string of axioms will be comparativelythe number will be small short
one : a dozen or some such matter. For the whole number or 13

will be small

all Geometry
of propositions contained in the geometrical scale, be it
ever so ample, this small number will suffice.

Much longer will be the number of definitions. At or 14
Number of definitions
additional
ones
Book is the
division
every considerable step in that scheme it will necessarily receive increase.

This same border it should seem, mights and should
be inserted in both of the two corresponding Filiation Tables
are the verbally expressed and the diagrammatically expressed

verbal and diagram
one.

or 12
Most convenient
to
each kite in a rate



the steps by
first

The degree of closeness as between proposition and proposition
in the several rows, consequently the number capable of being
invested with convenience in each row, and the inequalities
if any, in the distances between proposition and proposition,
in each row i.e. between and kite, (tail or tails included.)
will depend upon the room required of any necessary to be left
in the each inferior row for the tails belonging to the several kites ranged with several superior rows. For the construction of such a Table the most convenient course, it is believed, that could be taken would be leaving determinedsettle the scale of magnitude, as determined i.e. by the size of the settledtype from the several kites separately, and then having ready a sheet of paper of the proposed 1 — size and dimensions, attach them to it in rows; the mode of attachment temporary, [1] [1]till every thing is finally settled

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Identifier: | JB/018/049/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1		Marginal Summary Numbering	or 10 - or 11, or 13 - or 14, 15, or 12
Box	018	Main Headings	chrestomathia
Folio number	049	Info in main headings field
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c3 / e4
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6458
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