JB/018/152/001

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25 April 1815
Chrest. Tab. II Inserenda

☞ Alter this following paragraph thus
No proposition respecting figured and matter are true, because no
such bodies exist. Yet many are useful because though
in the individual exemplifications are correctly true, they are Among propositions many of them near enough to the
being so for practice ...
which Geometrical propositions, though not categorically are hypothetically true.

Among propositions in mathematics though many there
are that are in the strictest sense useful and most
abundantly useful: yet few or none many there are are they there
are in a word all geometrical ones – no one of which is in the same strict sense true. True in the
strict sense a mathematical proposition can not be
useless if the general genus sort of things which is the subject
of it some one individual at least is to be found.
But of the sorts of things which are the subjects of
mathematical geometrical propositions there is not perhaps
one of which any individual exemplification
ever was or ever will be found. to the description given
by which, any individual ever was or every will be
found exactly conformable. But at the same time
among those which have been commonly taken for
the subjects of geometrical propositions, many there
are – not to say all – to the description given by which,
individuals in countless multitudes having a relation so near to that of
exact conformity as that without any practical inconvenience
the conformity may be taken for considered as exact, ever
have been and ever will be found in countless multitudes.
No perfect exact sphere, no perfect exact case purport cast, no perfect cube as no perfectly formed solid
of any other regular form no perfectly even surface no perfectly
straight line was ever f yet formed by the hands of men,
much less by those of unassisted Nature. But at all times
figures so little different from the figures thus respectively
denominated have been and will be found, that from in those
instances from
whatsoever deviation
from truth have had
place no practical
inconvenience has
been or will have been
experienced.

Identifier: | JB/018/152/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-04-25	Marginal Summary Numbering	13-14
Box	018	Main Headings	chrestomathia
Folio number	152	Info in main headings field	chrest. tab. ii inserenda
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c4 / e4
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6561
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