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Program name: BACKWARD
Function: Backward Intersection
A
B
l
A
l
B
G
P
(X
P
, Y
P
)
(X
B
, Y
B
)
(X
A
, Y
A
)
X
Input: (X
A
, Y
A
), l
A
, (X
B
, Y
B
), l
B
However, you need to input a value
in the following range: 0° <
γ
< 180°
Output: (X
P
, Y
P
)
Formula:
X
P
=
Y
P
=
α
= cos
–1
β
= cos
–1
Program name: INTSEC1
Function: Coordinates of intersection
A
(X
2
, Y
2
)
(X
3
, Y
3
)
(X
1
, Y
1
)
(x
P
, y
P
)
X
Input: (X
1
, Y
1
), (X
2
, Y
2
), (X
3
, Y
3
),
α
Output: (x
P
, y
P
)
Formula: x
P
=
y
P
= m(x
P
– X
1
) + Y
1
m =
n = tan
α
X
A
cot +
X
B
cot + (
Y
A
–
Y
B
)
cot + cot
X
A
cot +
X
B
cot + (
Y
A
–
Y
B
)
cot + cot
Y
A
cot +
Y
B
cot + (
X
B
–
X
A
)
cot + cot
Y
A
cot +
Y
B
cot + (
X
B
–
X
A
)
cot + cot
l
2
A
+ (
X
B
–
X
A
)
2
+ (
Y
B
–
Y
A
)
2
–
l
2
B
2
l
A
(
X
B
–
X
A
)
2
+ (
Y
B
–
Y
A
)
2
¥
§
´
¶
l
2
A
+ (
X
B
–
X
A
)
2
+ (
Y
B
–
Y
A
)
2
–
l
2
B
2
l
A
(
X
B
–
X
A
)
2
+ (
Y
B
–
Y
A
)
2
¥
§
´
¶
l
2
B
+ (
X
B
–
X
A
)
2
+ (
Y
B
–
Y
A
)
2
–
l
2
A
2
l
B
(
X
B
–
X
A
)
2
+ (
Y
B
–
Y
A
)
2
¥
§
´
¶
l
2
B
+ (
X
B
–
X
A
)
2
+ (
Y
B
–
Y
A
)
2
–
l
2
A
2
l
B
(
X
B
–
X
A
)
2
+ (
Y
B
–
Y
A
)
2
¥
§
´
¶
nX
3
–
mX
1
+
Y
1
–
Y
3
n
–
m
nX
3
–
mX
1
+
Y
1
–
Y
3
n
–
m
Y
2
–
Y
1
X
2
–
X
1
Y
2
–
Y
1
X
2
–
X
1
Program name: INTSEC2
Function: Coordinates of intersection
(X
2
, Y
2
)
(X
3
, Y
3
)
(X
1
, Y
1
)
(X
4
, Y
4
)
(x
P
, y
P
)
Input: (X
1
, Y
1
), (X
2
, Y
2
), (X
3
, Y
3
), (X
4
, Y
4
)
Output: (x
P
, y
P
)
Formula: x
P
=
y
P
= m(x
P
– X
1
) + Y
1
m =
n =
Program name: V-LINE
Function: Calculation of Vertical Line and
Distance
(X
C
, Y
C
)
(X
A
, Y
A
)
(X
B
, Y
B
)
(x, y)
l
Input: (X
A
, Y
A
), (X
B
, Y
B
), (X
C
, Y
C
)
Output: (x, y), l
Formula:
x =
y = Y
A
+ m(x – X
A
)
l =
nX
3
–
mX
1
+
Y
1
–
Y
3
n
–
m
nX
3
–
mX
1
+
Y
1
–
Y
3
n
–
m
Y
2
–
Y
1
X
2
–
X
1
Y
2
–
Y
1
X
2
–
X
1
Y
4
–
Y
3
X
4
–
X
3
Y
4
–
Y
3
X
4
–
X
3
1
m
1
m
mX
A
+
X
C
–
Y
A
+
Y
C
m
+
Y
A
–
Y
B
X
A
–
X
B
¥
§
´
¶
m
=
1
m
1
m
mX
A
+
X
C
–
Y
A
+
Y
C
m
+
Y
A
–
Y
B
X
A
–
X
B
¥
§
´
¶
m
=
(
X
C
–
x
)
2
+ (
Y
C
–
y
)
2
(
X
C
–
x
)
2
+ (
Y
C
–
y
)
2