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<p>are determined to be measured by lines at the same distance<lb/> | <p>are determined to be measured by lines at the same distance<lb/> | ||
from the angular point. <del>this</del> the <unclear> | from the angular point. <del>this</del> the <unclear>reason</unclear> of this<lb/> | ||
determination was that the operation should be the<lb/> | determination was that the operation should be the<lb/> | ||
most simple <del>tha</del> [that there should be the least<lb/> | |||
number possible of influencing | number possible of influencing circumstances]<lb/> | ||
was not this distance always <unclear>supposed</unclear> to be the<lb/> | was not this distance always <unclear>supposed</unclear> to be the<lb/> | ||
same as the distance is an influencing circumstance<lb/> | same as the distance is an influencing circumstance<lb/> | ||
it must have been | it must have been <unclear>given</unclear> in each and this<lb/> | ||
would have made a very <unclear> | would have made a very <unclear>complex</unclear> operation.</p> | ||
<p><del>Now</del> Now the dust stands thus the distance<lb/> | <p><del>Now</del> Now the dust stands thus the distance<lb/> | ||
being the same from the angular point the<lb/> | being the same from the angular point the<lb/> | ||
number of aliquots determines the proportion.</p> | number of aliquots determines the proportion.</p> | ||
<p>In Euclid's time we had not the | <p>In Euclid's time we had not the assistances to discover<lb/> | ||
Coincidences to assist the senses of sight.</p> | Coincidences to assist the senses: of sight.</p> | ||
<note>Incommensurables<lb/> | <note>Incommensurables<lb/> | ||
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be assumed as the least aliquot to be attended<lb/> | be assumed as the least aliquot to be attended<lb/> | ||
to. <del>there is</del> it makes no difference whether<lb/> | to. <del>there is</del> it makes no difference whether<lb/> | ||
the quantities to be compared be <add>really</add> | the quantities to be compared be <add>really</add> incommensurable<lb/> | ||
commensurable | or commensurable they may be managed as<lb/> | ||
commensurables capable of being measured by<lb/> | commensurables capable of being measured by<lb/> | ||
this assumed aliquot [common measure] no<lb/> | this assumed aliquot [common measure] no<lb/> | ||
error will ever happen if there does it<lb/> | error will ever happen if there does it<lb/> | ||
was in the | was in the choosing the aliquot and all<lb/> | ||
that can be done is | that can be done is to choose a smaller,<lb/> | ||
so small as that no distinguishable | so small as that no distinguishable error<lb/> | ||
shall happen. Admit but this and we shall</p> | shall happen. Admit but this and we shall</p> | ||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} | ||
Angles
common. Measure
of.
are determined to be measured by lines at the same distance
from the angular point. this the reason of this
determination was that the operation should be the
most simple tha [that there should be the least
number possible of influencing circumstances]
was not this distance always supposed to be the
same as the distance is an influencing circumstance
it must have been given in each and this
would have made a very complex operation.
Now Now the dust stands thus the distance
being the same from the angular point the
number of aliquots determines the proportion.
In Euclid's time we had not the assistances to discover
Coincidences to assist the senses: of sight.
Incommensurables
Accuracy of
If it be admited that a some quantity may always.
be assumed as the least aliquot to be attended
to. there is it makes no difference whether
the quantities to be compared be really incommensurable
or commensurable they may be managed as
commensurables capable of being measured by
this assumed aliquot [common measure] no
error will ever happen if there does it
was in the choosing the aliquot and all
that can be done is to choose a smaller,
so small as that no distinguishable error
shall happen. Admit but this and we shall
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Identifier: | JB/135/057/003"JB/" can not be assigned to a declared number type with value 135. |
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not numbered |
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135 |
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057 |
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003 |
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copy/fair copy sheet |
4 |
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recto |
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sir samuel bentham |
[[watermarks::[gr with crown] [pro patria motif]]] |
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46175 |
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