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α-13
Program name: ANGLE
Function: Bearing Angle
X
A
l
(X
P
, Y
P
)
(X
A
, Y
A
)
Input: (X
A
, Y
A
), (X
P
, Y
P
)
Output:
α
, l
Formula: (l,
α
) = Pol(X
P
– X
A
, Y
P
– Y
A
)
Program name: TRAVERSE
Function: Traverse Calculation
A
B
A
l
l
O
(X
O
, Y
O
)
(X
A
, Y
A
)
(X
P
, Y
P
)
O
X
Input: (X
A
, Y
A
),
α
O
,
β
, l
Output: (X
P
, Y
P
),
α
Formula:
α
=
α
O
– 180° +
β
X
P
= l cos
α
+ X
A
Y
P
= l sin
α
+ Y
A
Program name: INVERSE
Function: Inverse Calculation
A
B
l
l
O
(X
O
, Y
O
)
(X
A
, Y
A
)
(X
P
, Y
P
)
A
O
X
Input: (X
A
, Y
A
), (X
O
, Y
O
), (X
P
, Y
P
)
Output: l
O
,
α
O
, l,
α
,
β
Formula: (l
O
,
α
O
) = Pol(X
A
– X
O
, Y
A
– Y
O
)
(l,
α
) = Pol(X
P
– X
A
, Y
P
– Y
A
)
β
=
α
–
α
O
+ 180°
Program name: DECENTER
Function: Decentering
α
S
′
A
P
′
P
e
S
γ
Input:
α
, e, S
′
Output:
γ
, S
Formula:
γ
= tan
–1
S
=
S
a
2
+
e
2
– 2
S
a
e
cos
Program name: MID-ORD
Function: Middle Ordinate
M
1
BC
EC
R
M
2
I
2
I
4
I
Input: I, R
Output: M
1
, M
2
Formula: M
1
= R
I
2
¥
§
´
¶
1 – cos
M
2
= R
I
4
¥
§
´
¶
1 – cos
e
sin
S
a
–
e
cos
¥
§
´
¶
e
sin
S
a
–
e
cos
¥
§
´
¶