JB/018/047/001

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11 May 1815
Chrest. Tab.II Conclusion
24 Genealogical Table
employing

Different Genealogical Table for each branch of physics?

So for each species of figure?

or 1
Construction of such a Table
Fundamental consideration
the higher the
proposition, the greater
the number if those
on which the demonstration
depends
or 2
Prop 1. cannot have any support
but definitions
and axiom: 2
may have proposition,
3. one or
two

How to construct a geometrical Genealogical or Filiation
Table

Of this sort of Table the oneessential / property is - that
the more advanced and thence the greater the number by which it is expressed the proposition is, the greater the number
of the propositions on which the demonstration of it depends

Thus in the cases of<add>plan composed</add> proposition the first, no proposition on which
it has any dependence can have existence be found. Definitions
and axioms are the only materials of which the foundation
of it can be composed. In the case of Proposition 2 may there exists
one proposition but no more than one, in which it besides definitions and axioms
it is possible for it to have dependence: in the case of proposition
3 may, upon the list of defini propositions, have
two such supports, either or both and so on throughout

The higher the the plan of proposition in question standsis in the or 3
The higher the plan
of a proposition
the geometrical feel
the more numerous
and longer may be
its string of supporting
propositions
geometrical scale thus described, the more numerous the
list or string is capable of being the list or string of propositions
on which it depends

In any Tabular or Synoptic exhibition, the
enuntiation part, or the corresponding diagram of the proposition
in question, being included in a graphical compartment of a regular form of correspondent or 4
Form of exhibition
In a uniform set
of regular graphical
receptacles (
plan the
parts of the proposition
Thus so many
, the strings
of numbers indic
of the antecedent
propositions will
form a bridge
bulk and suitable convenient form of a circle for example, an oval
a square or a long square for example a circle, an oval,
or a pear shaped figure may be considered as a body of
the sort of plaything by which the means of which Franklin observed
their thunder from the sky, called a kite: of this
kite, the string of numbers are which are afterbelow another give indication
of the several sources of or foundation string the proposition, as above, will naturally may
be so disposed as to represent the tail these facts.

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Identifier: | JB/018/047/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-05-11	Marginal Summary Numbering	or 1 - or 4
Box	018	Main Headings	chrestomathia
Folio number	047	Info in main headings field	chrest. table ii conclusion
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c1 / e2
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6456
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