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Book III
Proposition 10
Then, since
in the circle
ABC
a straight line
AC
cuts a straight line
BH
into two equal parts and at right angles
,
the center of the circle
ABC
is on
AC
. [
III.1, Por.
]
Again, since
in the same circle
ABC
a straight line
NO
cuts a straight line
BG
into equal parts and at right angles
,
the center of the circle
ABC
is on
NO
. [
III.1, Por.
]
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