(J1)11(J2)12(J3)j3ï¿½.ï¿½ **jj**!j2!j3!..ï¿½ where since(m1 1 m2 2 m3 3 ...) is the specification of (J1)j1(J2)j2(J3)j3..., ï¿½ l +ï¿½2+/23+ï¿½ï¿½ï¿½ =ii +j2+j3+ï¿½ï¿½ï¿½ï¿½ Comparison of the coefficients of x:14243...

Thus f (= 4-rb 2;**JJ** Z dY (e r) dx dy dz.

The stream lines xBAJ, xA'J' are given by = 0, m; so that if c denotes the ultimate breadth **JJ**' of the jet, where the velocity may be supposed uniform and equal to the skin velocity Q, m=Qc, c=m/Q.

Ja - u ?I a -a b -u' sh nS2=sh log (Q)=?a - b a - a' b - u' At x where = co, u = o, and q= go, (O n b - a ' a + a -b a' cio) - ?a-a'?b a-a' q In crossing to the line of flow x'A'P'J', b changes from o to m, so that with q = Q across **JJ**', while across xx the velocity is qo, so that i n = go.

Xx' = Q.**JJ**' (31) **JJ** _ g o _ lb-a' la_I a-b a' 11n xx' Q L Va - a' b Va-a' b j ' (32) giving the contraction of the jet compared with the initial breadth of the stream.

Xx' = Q.**JJ**' (31) **JJ** _ g o _ lb-a' la_I a-b a' 11n xx' Q L Va - a' b Va-a' b j ' (32) giving the contraction of the jet compared with the initial breadth of the stream.

We have by partial integration ff1 fV dd - ' 2 dy **JJ** dx y **JJ** y dxd dz = V - d dzdxd dz, and Itwo (similar equations in y and z.

33, while the vertical component of the motion of the rear part **JJ** of the rolls forces the plastic metal of that part of " the piece " with which they are in contact backwards and centrewards, reducing its area and simultaneously lengthening it proportionally, here again as in drawing through a die.

~ arm with nbt be strong nbt stick man with n~lt be strong n~t **jj** stick ~ lungs and sm; sm~

For further details see also the separate topographical headings (for **JJ** excavations, &c.), and the general articles on the m various arts and art id...

If this displace ~ ment be less than the horizontal projection of **JJ**, viz.

-' A° p R ?°Tw?gworth **JJ** F

High; **JJ**, the horizontal iron tube; K, the descending branch mentioned above, for producing a certain amount of suction by means of the gas-siphon thus formed.

In the horizontal branch **JJ** much /%//ice FIGS.

N .- Acea, Pseudaxonia, Axif 4?**jj** ERA, Stelechotokea, and Coenothecalia.