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# JB/135/057/001

Completed

Angles
Equal
&
Unequal
Paraphrasis
of

When the extremity of one line meets the extremity of another in such a manner as
that if both were produced they would cut one the other
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 be 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 these 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 that 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

Identifier: | JB/135/057/001
"JB/" can not be assigned to a declared number type with value 135.

not numbered

135

057

001

copy/fair copy sheet

4

recto

sir samuel bentham

[[watermarks::[gr with crown] [pro patria motif]]]

46175