WOLFRAM

DEMONSTRATIONS PROJECT
The Ratio Theorem

A
P

/

A
B

0
.
4
F
r
a
c
t
i
o
n
B
o
x
[
\(
\(

\)
\(
A
P
\)
\(

\)
\)
,
\(
\(

\)
\(
P
B
\)
\(

\)
\)
]
≈
1
.
5
0
F
r
a
c
t
i
o
n
B
o
x
[
\(
\(

\)
\(
A
Q
\)
\(

\)
\)
,
\(
\(

\)
\(
Q
C
\)
\(

\)
\)
]
≈
1
.
5
0
I
n
t
h
e
t
r
i
a
n
g
l
e
A
B
C
l
e
t
P
Q
b
e
p
a
r
a
l
l
e
l
t
o
B
C
,
w
i
t
h
P
o
n
A
B
a
n
d
Q
o
n
A
C
.
T
h
e
n

A
P

/

P
B

=

A
Q

/

Q
C

.