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A collection of classical geometry in computable formats along with code and diagrams.
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Euclid Book 4
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Euclid Book 4 Proposition 10
Statement
T
o
c
o
n
s
t
r
u
c
t
a
n
i
s
o
s
c
e
l
e
s
t
r
i
a
n
g
l
e
h
a
v
i
n
g
e
a
c
h
o
f
t
h
e
a
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g
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e
s
a
t
t
h
e
b
a
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e
d
o
u
b
l
e
t
h
e
r
e
m
a
i
n
i
n
g
o
n
e
.
Computational Explanation
G
e
o
m
e
t
r
i
c
S
c
e
n
e
{
{
A
.
,
B
.
,
C
.
,
D
.
}
,
{
}
}
,
L
i
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e
[
{
A
.
,
C
.
,
B
.
}
]
,
E
u
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l
i
d
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a
n
D
i
s
t
a
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c
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[
A
.
,
B
.
]
E
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i
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e
a
n
D
i
s
t
a
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c
e
[
B
.
,
C
.
]
2
E
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i
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a
n
D
i
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[
A
.
,
C
.
]
,
{
C
i
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c
l
e
T
h
r
o
u
g
h
[
{
B
.
}
,
A
.
]
}
,
{
D
.
∈
C
i
r
c
l
e
T
h
r
o
u
g
h
[
{
B
.
}
,
A
.
]
,
L
i
n
e
[
{
B
.
,
D
.
}
]
,
E
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l
i
d
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a
n
D
i
s
t
a
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c
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[
B
.
,
D
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]
E
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l
i
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a
n
D
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t
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[
A
.
,
C
.
]
}
,
{
L
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n
e
[
{
A
.
,
D
.
}
]
}
,
{
E
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a
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D
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s
t
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c
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[
A
.
,
D
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]
E
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l
i
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a
n
D
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t
a
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c
e
[
A
.
,
B
.
]
,
P
l
a
n
a
r
A
n
g
l
e
[
{
A
.
,
D
.
,
B
.
}
]
P
l
a
n
a
r
A
n
g
l
e
[
{
A
.
,
B
.
,
D
.
}
]
2
P
l
a
n
a
r
A
n
g
l
e
[
{
B
.
,
A
.
,
D
.
}
]
}
S
t
e
p
1
2
3
4
C
o
n
c
l
u
s
i
o
n
E
u
c
l
i
d
e
a
n
D
i
s
t
a
n
c
e
[
A
.
,
D
.
]
E
u
c
l
i
d
e
a
n
D
i
s
t
a
n
c
e
[
A
.
,
B
.
]
Explanations
coming soon
Classes
Euclid's Elements
MathWorld
Constructions
EuclidBook4
MathWorld
GoldenTriangle
Related Theorems
EuclidBook2Proposition11
EuclidBook4Proposition11
