User Manual

α-16
Program name: TRIANGLE
Function: Area of Triangle
Y
X
(X
3
, Y
3
)
(X
2
, Y
2
)
(X
1
, Y
1
)
Input: (X
1
, Y
1
), (X
2
, Y
2
), (X
3
, Y
3
)
Output: S
Formula:
S =
Program name: QUADRANG
Function: Area of Quadrangle
Y
X
(X
3
, Y
3
)
(X
2
, Y
2
)
(X
1
, Y
1
)
(X
4
, Y
4
)
Input: (X
1
, Y
1
), (X
2
, Y
2
), (X
3
, Y
3
), (X
4
, Y
4
)
Output: S
Formula:
Program name: HERON
Function: Heron Formula
a
b
c
Input: a, b, c
Output: S
Formula: S =
s =
(
X
1
–
X
2
)(
Y
3
–
Y
1
) + (
X
1
–
X
3
)(
Y
1
–
Y
2
)
2
©
©
¸
¸
(
X
1
–
X
2
)(
Y
3
–
Y
1
) + (
X
1
–
X
3
)(
Y
1
–
Y
2
)
2
©
©
¸
¸
(
X
1
–
X
2
)(
Y
3
–
Y
1
) + (
X
1
–
X
3
)(
Y
4
–
Y
2
) + (
X
1
–
X
4
)(
Y
1
–
Y
3
)
2
©
©
¸
¸
S
=
(
X
1
–
X
2
)(
Y
3
–
Y
1
) + (
X
1
–
X
3
)(
Y
4
–
Y
2
) + (
X
1
–
X
4
)(
Y
1
–
Y
3
)
2
©
©
¸
¸
S
=
s
(
s
–
a
)(
s
–
b
)(
s
–
c
)
s
(
s
–
a
)(
s
–
b
)(
s
–
c
)
2
a
+
b
+
c
a
+
b
>
c
> 0
b
+
c
>
a
> 0
c
+
a
>
b
> 0
¥
¦
§
´
µ
¶
2
a
+
b
+
c
a
+
b
>
c
> 0
b
+
c
>
a
> 0
c
+
a
>
b
> 0
¥
¦
§
´
µ
¶
Program name: STADIA
Function: Stadia Calculation
S
l
H
f
c
F
α
i
A
B
Input: K
f
i
¥
§
´
¶
=
, C (= c + f ), l,
α
Output: S, H
Formula: S = Kl cos
2
α + C cos α
H =
1
2
Kl sin 2
α + C sin α
However, 0°  α  90°