JB/018/052/001

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1 May 1815
Chrest. Tab.II 3 Genealogy indicating

What might perhaps be found to be the case is 7
If not too complicated
the
view given by
such a Geometrical
Genealogical
Table
would be commanding
and
instructive
that among the propositions of which a system of mathematics
in this case (in the occasion have in question
it would be a system of Geometry) is composed, the
tissue of genealogical relations, as thus explained would be
too complicated to admitt of its being exhibited
in form of a Table to any advantage. But should
the be the case, it will hardly be doubted 8
By a
Table no great
part of the field
would be covered:
a number would
be necessary but
they might
all put together
ad libitum

that by the help of such an instrument, a much more commanding and satisfactory
view of the field of geometry might be
afforded than could be afforded otherwise.

Scarcely At any rate in the compass of a single Table couldthus constructed
any very considerable part of the field of Geometry
be exhibited. A number of such Tables standing 8 (a)
In Euclid's Elements
three on solids deducted,
Number of
propositions 231
Thus perhaps not
let for the
Table.
2. One very useful one
might be found
out of the 21 propositions
in the
of



in succession would be found requisite, a numberany two of
or more which might, upon occasion, might be so simple
an operation in juxta position be united into one.

Note (a)

In the first Books of Euclids elements the sum
of being all that relates to plain Geo figures to the exclusion
of solids the sum of the propositions is 231.
This number might perhaps not be too great to be included conveniently
in one Table.

In one of the latest, and it is supposed upon the whole the
most instructive of the books professing to exhibit the Elements of uses. many of these had
their physical and
considerable uses. Witness
cylinders and
spheres and cylinders:
and thereby and therein
with measures, all occasions and ranges. Of this 21 no one is to be found in the Elementary work of Euclid every one perhaps is in some way or other descended from its contents
might not here be another occasion for marking the {+}
[+] Of the branches contained in this useful supplement
and thereby affording indication and demonstration
of the utility use of the venerable original.
Geometry in Books has for the subject and it title "The
Comparison of Solids. In this book the number of proposition
is 28. Bendes this several respective mathematical and preparative uses

Identifier: | JB/018/052/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-05-01	Marginal Summary Numbering	8, 8a
Box	018	Main Headings	chrestomathia
Folio number	052	Info in main headings field	chrest. tab. ii
Image	001	Titles	note (a)
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	d19 / e3
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6461
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