Proposition 10
Construction
To bisect a given line segment.
Construction Steps
1. Let AB be the given line segment.
2. TakingAB as the base, construct an equilateral triangle △ABC .
3. Bisect∠ACB . This angle bisector intersects AB at point D. The given line segment AB has been bisected at D.
2. Taking
3. Bisect
Original statement
τὴν δοθϵῖσαν ϵὐθϵῖαν πϵπϵρασμένην δίχα τϵμϵῖν.
English translation
To bisect a given finite straight line.