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Spain Mathematical Olympiad
1976 Spain Mathematical Olympiad
1
1
Part of
1976 Spain Mathematical Olympiad
Problems
(1)
scent of a classic, square construction through for 4 given points
Source: Spanish Mathematical Olympiad 1976 P1
12/23/2022
In a plane there are four fixed points
A
,
B
,
C
,
D
A, B, C, D
A
,
B
,
C
,
D
, no
3
3
3
collinear. Construct a square with sides
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
such that
A
∈
a
A \in a
A
∈
a
,
B
∈
b
B \in b
B
∈
b
,
C
∈
c
C \in c
C
∈
c
,
D
∈
d
D \in d
D
∈
d
.
geometry
construction
square