(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 the expression for the vibration at M becomes -X .I JJ sin k) at-f + xE4 yn dxdy.
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.
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.
N J% Jj??./?/f/7,???
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.
The short streak of light thus obtained moves with Mirror, .l 4,Stindd Boom Balance Weight, j/?/?j?jj/ Masonry Column Lamp Br.mide Paper_ On- Need,Le o 0 the movement of the boom over a second slit perpendicular to the first and made in the lid of a box containing clockwork driving a band of bromide paper.
~ 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
T ? ??, teombe Nettle F +e yPa-N+1l.N *'+R Slueumber'??r aC I°nh s 1 E gy jj l '° ° o e^M dc pford?
W a q anza s E 0_ nn JJ Po h oon ?'?.??,??e i I i L AY 122 D Longitude West of Greenwich A B;., :.
N .- Acea, Pseudaxonia, Axif 4?jj ERA, Stelechotokea, and Coenothecalia.
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.