N l which we can transform into u1 u2 utu3 u2114 un -**2u**,, -u1+u2-u2+u3-u3+u4- ...

Thus we find from (i) that Simpson's second formula, for the case where the top is a parabola (with axis, as before, at right angles to the base) and there are three strips of breadth h, may be replaced by area = 8h(3u i + **2U** 1 + 3us).

The velocity past the surface of the sphere is dC r sin 0 dy **2U** (2r+ a 2) r sin g z U sin e, when r =a; (20) so that the loss of head is (!

Putting do dipdp _ Hdt - dt -K, the equations of motion (4), (5), (6) § 24 can be written -**2u** +2wn - d(x',t))o,...,.