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for Geometry to want you to suppose one more perfect.<lb/> | for Geometry to want you to suppose one more perfect.<lb/> | ||
but this is not the case the maximum can by means<lb/> | but this is not the case the maximum can by means<lb/> | ||
be determined. | be determined. To prevent therefore mechanics from<lb/> | ||
producing lines too narrow and too regular for Geometrical<lb/> | |||
propositions to hold good of them. Geometers have<lb/> | |||
<del>done</del> made use of the perfect lines to exemplify this<lb/> | |||
Prop. They have made <unclear>necessary</unclear> to suppose no<lb/> | |||
irregularities at all to exist. had they not done<lb/> | |||
that but <del>wished</del> set about to adhere closely to the<lb/> | |||
<sic>Phisical</sic> <sic>existances</sic> to such lines as people must with<lb/> | |||
in practice it then would be necessary to demonstrate <lb/> | |||
their <del>truth</del> propositions taking every individual figure<lb/> | |||
alternately. new by divesting themselves of the trouble<lb/> | |||
of considering the imperfection of theoretical operations<lb/> | |||
they demonstrate their propositions with respect to<lb/> | |||
perfect lines and leave it to the practical mechanic<lb/> | |||
to discover how near the lines he can make will<lb/> | |||
approach to what is demonstrated of perfect ones.<lb/> | |||
Lines Geometrical
Could the maximum of exactness whi with which a line could be
drawn determined. Geometry then It would be useless
for Geometry to want you to suppose one more perfect.
but this is not the case the maximum can by means
be determined. To prevent therefore mechanics from
producing lines too narrow and too regular for Geometrical
propositions to hold good of them. Geometers have
done made use of the perfect lines to exemplify this
Prop. They have made necessary to suppose no
irregularities at all to exist. had they not done
that but wished set about to adhere closely to the
Phisical existances to such lines as people must with
in practice it then would be necessary to demonstrate
their truth propositions taking every individual figure
alternately. new by divesting themselves of the trouble
of considering the imperfection of theoretical operations
they demonstrate their propositions with respect to
perfect lines and leave it to the practical mechanic
to discover how near the lines he can make will
approach to what is demonstrated of perfect ones.
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Identifier: | JB/135/063/001"JB/" can not be assigned to a declared number type with value 135. |
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135 |
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063 |
lines geometrical |
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001 |
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copy/fair copy sheet |
2 |
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recto |
f2 / f3 |
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sir samuel bentham |
[[watermarks::[britannia emblem]]] |
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46181 |
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