Book 1
Proposition 10
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Last updated on: 2022-09-19.
Euclid
Book 1
Proposition 10
Construction
To bisect a given line segment.
Construction Steps
1. Let
AB
be the given line segment.
2. Taking
AB
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
.
Original statement
τὴν δοθϵῖσαν ϵὐθϵῖαν πϵπϵρασμένην δίχα τϵμϵῖν.
English translation
To bisect a given finite straight line.
Computable version
Additional instances
Dependency graphs