| v′ = v + zP − xR = | 2b2 | Ω1z − | 2b2 | Ω3x, |
| b2 + c2 | a2 + b2 |
(5)
| w′ = w + xQ − yP = | 2c2 | Ω2x − | 2c2 | Ω1y, |
| c2 + a2 | b2 + c2 |
(6)
P = Ω1 + ξ, Q = Ω2 + η, R = Ω3 + ζ.
(7)
Thus
| u′ | x | + v′ | y | + w′ | z | = 0, |
| a2 | b2 | c2 |
(8)
so that a liquid particle remains always on a similar ellipsoid.