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of</note> <lb/> | of</note> <lb/> | ||
When <add>the extremity of</add> out line meets <add>the extremity of</add> another in such a manner as<lb/> | <p>When <add>the extremity of</add> out line meets <add>the extremity of</add> another in such a manner as<lb/> | ||
that if both were produced they would cut one another<lb/> | that if both were produced they would cut one another<lb/> | ||
they are said to make angle, to contain an angle<lb/> | they are said to make angle, to contain an angle<lb/> | ||
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is called the angular point. Suppose 2 pair of<lb/> | is called the angular point. Suppose 2 pair of<lb/> | ||
lines each <add>pair</add> making an angle. bit of the lines | lines each <add>pair</add> making an angle. bit of the lines | ||
of one pair he put upon one of the other pair so | of one pair he put upon one of the other pair so<lb/> | ||
as to to coincide their whole length and so as<lb/> | (as to to coincide their whole length and so as<lb/> | ||
that the angular point of one pair <del>be</del> coincide<lb/> | that the angular point of one pair <del>be</del> coincide<lb/> | ||
that of the other. then if the remaining line<lb/> | that of the other. then if the remaining line<lb/> | ||
of one pair coincide with the remaining one<lb/> | of one pair coincide with the remaining one<lb/> | ||
of the other <del>then</del> there pairs of lines are said<lb/> | of the other <del>then</del> there pairs of lines are said<lb/> | ||
to make equal angles, the angles which they<lb/> | |||
make are equal<add>the same</add>. but if these remaining lines<lb/> | |||
do not coincide what which is between the common<lb/> | |||
line and the other remaining one together with its<lb/> | |||
fellow is said to contain the least angle. the<lb/> | |||
other with its fellow greatest.</p> | |||
<p>Was it only required to ascertain <del>which of any</del><lb/> | |||
whether any two given <del>angles a</del> lines made equal<lb/> | |||
angles or which of the 2 made the greater<lb/> | |||
and was it possible to apply any one<lb/> | |||
pair of lines to any other to discover this<lb/> | |||
equality or inequality in the angles. this operation<lb/> | |||
would be sufficient. But this is not all that is<lb/> | |||
wanted. It is <add>also</add> necessary first to discover whether</p> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}} | ||
Angles
Equal
&
Unequal
Paraphrasis
of
When the extremity of out line meets the extremity of another in such a manner as
that if both were produced they would cut one another
they are said to make angle, to contain an angle
If 2 straight lines touch one another at one point
and not at all they are said to make an angle &c,
and the point at which they join [common to both]
is called the angular point. Suppose 2 pair of
lines each pair making an angle. bit of the lines
of one pair he put upon one of the other pair so
(as to to coincide their whole length and so as
that the angular point of one pair be coincide
that of the other. then if the remaining line
of one pair coincide with the remaining one
of the other then there pairs of lines are said
to make equal angles, the angles which they
make are equalthe same. but if these remaining lines
do not coincide what which is between the common
line and the other remaining one together with its
fellow is said to contain the least angle. the
other with its fellow greatest.
Was it only required to ascertain which of any
whether any two given angles a lines made equal
angles or which of the 2 made the greater
and was it possible to apply any one
pair of lines to any other to discover this
equality or inequality in the angles. this operation
would be sufficient. But this is not all that is
wanted. It is also necessary first to discover whether
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Identifier: | JB/135/057/001"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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001 |
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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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