Page 69 - Standard Handbook Of Petroleum & Natural Gas Engineering

58 Mathematics

Equations (standard form) of Hyperboloids

Of one sheet (Figure 1-46)
x2/a2 + y2/b2 - z2/c2 = 1
Of two sheets (Figure 1-47)
x2/a2 - y2/b2 - z2/c2 = 1
Equations (standard form) of Paraboloids
Of elliptic paraboloid (Figure 1-48)

x2/a2 + y2/b2 = cz
Of hyperbolic paraboloid (Figure 1-49)
x2/a2 - y2/b2 = cz

Figure 1-46. Hyperboloid of one sheet.

Figure 1-47. Hyperboloid of two sheets.