Page 19 - Standard Handbook Of Petroleum & Natural Gas Engineering
P. 19
8 Mathematics
Any triangle (Figure 1-3.)
A
area = 1/2 base altitude = 1/2 ah = 1/2 ab sin C
= - 1/2 {(XIY2 - $yI)
+
+ (XZYS - X.SY2)
+ (XSYI - XIY,))
where (x,,yl), (xz,yz), (x,,y,) are coordinates of vertices.
Rectangle (Figure 1-4)
area = ab = 1/2 D2 sin u
where u = angle between diagonals D, D
Rhombus (Figure 1-5)
Area = a'sin C = 1/2 DID,
where C = angle between two adjacent sides
D,, D, = diagonals
Parallelogram (Figure 1-6)
c
\
