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Neither in Algebra nor in Geometry should any proposition be delivered without indication of the use. This is necessary to the justification of the Mathematician for if it is of no use why plague us with it. Every book is an | <p>Neither <add>in</add> Algebra <lb/> | ||
occasions. well, if it has, it at any rate has one; give us then that one Lock out two or three of the principal | nor in Geometry <lb/> | ||
should any proposition <lb/> | |||
be delivered <lb/> | |||
without <lb/> | |||
indication of the <lb/> | |||
use. This is <lb/> | |||
necessary to the <lb/> | |||
justification of <lb/> | |||
the Mathematician <lb/> | |||
for if it is of no <lb/> | |||
use why plague <lb/> | |||
us with it.</p> | |||
<p>Every book is an <lb/> | |||
<del>If it has</del> <lb/> | |||
evil: for to some <lb/> | |||
body or other every <lb/> | |||
book is a plague.<lb/> | |||
A great book says <lb/> | |||
the proverb is a <lb/> | |||
great evil. But <lb/> | |||
of all great book-<lb/> | |||
evils a book of <lb/> | |||
algebra or geometry <lb/> | |||
is surely <lb/> | |||
one of the greatest <lb/> | |||
evils: for it is one <lb/> | |||
of the greatest plagues.</p> | |||
<p>Oh, but it has <lb/> | |||
a thousand uses! <lb/> | |||
<add>it is called for on a thousand occasions.</add> well, if it has, <lb/> | |||
it at any rate <lb/> | |||
has one; give us <lb/> | |||
then that one <lb/> | |||
Lock out two or <lb/> | |||
three of the principal</p><pb/> | |||
<p><del>Use if not immediate</del></p> | |||
<p>Of use - how? <lb/> | |||
by being predictable <lb/> | |||
if, applicable to, <lb/> | |||
some article or other <lb/> | |||
in the catalogue of <lb/> | |||
real existence — <lb/> | |||
which are either<lb/> | |||
<hi rend="underline">substances,</hi> <hi rend="underline">spaces</hi><lb/> | |||
or <hi rend="underline"><unclear>motions</unclear></hi></p> | |||
<p>These, one or <lb/> | |||
other of them are <lb/> | |||
the <add>real</add> subjects of <lb/> | |||
every mathematical <lb/> | |||
proposiion.</p> | |||
<p><del>Quere</del> If it be <lb/> | |||
not true of one <lb/> | |||
or other of these <lb/> | |||
it is not true</p> <pb/> | |||
<p>Of use in what <lb/> | |||
<del>whay</del> way?</p> | |||
<p>If not immediate <lb/> | |||
at least remote <lb/> | |||
If not of itself <lb/> | |||
applicable to any <lb/> | |||
real existences <lb/> | |||
as yet known <lb/> | |||
as apt <unclear>between</unclear> the <lb/> | |||
<lb/> | |||
subjects of considration, <lb/> | |||
at <lb/> | |||
least by its relation <lb/> | |||
to some <lb/> | |||
other mathematical <lb/> | |||
propositions which <lb/> | |||
are <add>themselves</add> of use: by <lb/> | |||
its <del><gap/></del> applicability <lb/> | |||
to, by its <lb/> | |||
being true of some <lb/> | |||
existences which <lb/> | |||
though as yet <lb/> | |||
they have not come <lb/> | |||
into consideration <lb/> | |||
for any useful <lb/> | |||
purpose may do <lb/> | |||
so one of these <lb/> | |||
days</p><pb/> | |||
<p>A Point or portion <lb/> | |||
of space a matter next <lb/> | |||
to nothing</p> | |||
<p>A line in uninterrupted <lb/> | |||
them of points in breadth <lb/> | |||
and thickness next to nothing. <lb/> | |||
A surface a figure compound <lb/> | |||
of line and more <lb/> | |||
quantity having length and <lb/> | |||
breadth, but in thickness <lb/> | |||
next to nothing</p> | |||
<p>An angle is <del>the <gap/></del> <lb/> | |||
<del>greater or another according</del><lb/> | |||
<del>to</del> the distance <lb/> | |||
between two <del><gap/></del> uniting <lb/> | |||
<del><gap/></del> lines at <del>equi</del><add>any</add> <lb/> | |||
<del>-distant</del><add>part</add> points of their <lb/> | |||
lengths<add>respectively</add> equidistant from <lb/> | |||
the common point <del><gap/></del> <lb/> | |||
<del>point of <gap/></del> which they <lb/> | |||
meet</p> | |||
<p>The magnitude of an angle <lb/> | |||
is but understood <lb/> | |||
by reference to a <gap/></p><pb/> | |||
<!-- DO NOT EDIT BELOW THIS LINE --> | <!-- DO NOT EDIT BELOW THIS LINE --> | ||
{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} | ||
Education Arc itive
intellectual
Neither in Algebra
nor in Geometry
should any proposition
be delivered
without
indication of the
use. This is
necessary to the
justification of
the Mathematician
for if it is of no
use why plague
us with it.
Every book is an
If it has
evil: for to some
body or other every
book is a plague.
A great book says
the proverb is a
great evil. But
of all great book-
evils a book of
algebra or geometry
is surely
one of the greatest
evils: for it is one
of the greatest plagues.
Oh, but it has
a thousand uses!
it is called for on a thousand occasions. well, if it has,
it at any rate
has one; give us
then that one
Lock out two or
three of the principal
---page break---
Use if not immediate
Of use - how?
by being predictable
if, applicable to,
some article or other
in the catalogue of
real existence —
which are either
substances, spaces
or motions
These, one or
other of them are
the real subjects of
every mathematical
proposiion.
Quere If it be
not true of one
or other of these
it is not true
---page break---
Of use in what
whay way?
If not immediate
at least remote
If not of itself
applicable to any
real existences
as yet known
as apt between the
subjects of considration,
at
least by its relation
to some
other mathematical
propositions which
are themselves of use: by
its applicability
to, by its
being true of some
existences which
though as yet
they have not come
into consideration
for any useful
purpose may do
so one of these
days
---page break---
A Point or portion
of space a matter next
to nothing
A line in uninterrupted
them of points in breadth
and thickness next to nothing.
A surface a figure compound
of line and more
quantity having length and
breadth, but in thickness
next to nothing
An angle is the
greater or another according
to the distance
between two uniting
lines at equiany
-distantpart points of their
lengthsrespectively equidistant from
the common point
point of which they
meet
The magnitude of an angle
is but understood
by reference to a
---page break---
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[[info_in_main_headings_field::education intellectual ars traditionis […?] [...?]]] |
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rudiments sheet (brouillon) |
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jeremy bentham |
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