Book 3
Proposition 1
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 1
Construction
To find the center of a given circle.
Construction Steps
1. Let
A
B
P
be the given circle.
2. Join the points
A
and
B
on the circumference and bisect
AB
at
C
.
3. Draw a line through
C
perpendicular to
AB
, intersecting the circle at
D
and
E
.
4. Bisect
DE
at
F
.
F
is the center of
A
B
P
.
Original statement
τοῦ δοθέντος κύκλου τὸ κέντρον ϵὑρϵῖν.
English translation
To find the centre of a given circle.
Computable version
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