Book 3
Proposition 30
1
2
3a
3b
4
5
6
7a
7b
7c
8a
8b
8c
9
10
11
12
13
14a
14b
15a
15b
16
17
18
19
20
21
22
23
24
25
26a
26b
27
28
29
30
31a
31b
31c
32
33a
33b
33c
34
35
36
37
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Last updated on: 2022-07-28.
Euclid
Book 3
Proposition 30
Construction
To bisect a given arc.
Construction Steps
1. Let
ACB
be the given circular arc.
2. Join
AB
. Bisect the chord
AB
at
D
.
3. From
D
, draw a line perpendicular to
AB
and intersecting the arc at
P
. Then arc
ACB
is bisected at
P
.
Original statement
τὴν δοθϵῖσαν πϵριϕέρϵιαν δίχα τϵμϵῖν.
English translation
To bisect a given circumference.
Computable version
Additional instances
Dependency graphs