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<gap/> he should have <gap/> to have made<lb/> | <gap/> he should have <gap/> to have made<lb/> | ||
his meaning clear.</p> | his meaning clear.</p> | ||
—<lb/> | |||
<p>Correspondent one to what? <add>the answer is</add> in situation:<lb/> | |||
for there is no other particular in which<lb/> | |||
the two sides of the same triangle an<lb/> | |||
have any such arbitrary difference assigned<lb/> | |||
them as can serve to characterize them.<pb/> | |||
To ascertain by a general description <add>in a</add><del>beyond</del><lb/> | |||
<del>a doubt</del><add>clear and indubitable manner between which of</add><lb/> | |||
the four objects he means the equality</p><pb/> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}} |
The expression in Euclid is "each to each".
This is inadequate: for the import he annexes
to it, is not conformable to any import the
it can be shewn to to hear
on any other occasion.
The two sides of the one triangle, says
Euclid, I suppose to be equal to two sides
of the other triangle each to each. The real
eachmeaning is, each to it's correspondent one:
namely that one side of the one triangle
is equal to that side of the other triangle
that corresponds with it in some particular and the arrangement
he has for the purpose given the parts sides
of [the each triangle two triangles] among themselves: given
I say in his own kind, tho' not announced
he should have to have made
his meaning clear.
—
Correspondent one to what? the answer is in situation:
for there is no other particular in which
the two sides of the same triangle an
have any such arbitrary difference assigned
them as can serve to characterize them.
---page break---
To ascertain by a general description in abeyond
a doubtclear and indubitable manner between which of
the four objects he means the equality
---page break---
Identifier: | JB/135/027/002"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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027 |
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002 |
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copy/fair copy sheet |
2 |
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recto |
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sir samuel bentham |
[[watermarks::[gr with crown] [pro patria motif]]] |
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46145 |
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