If we assume P Po cos am (~t+e), q =**qo** sin am (~it+o), r =To~ am (~t-i--~), (7) we find = ~ ~ = 9rp, i = ~0pg~ (8) Hence (5) will be satisfied, provided u~o BC o-**qo** CA kfi,r0AB

Denoting these convergents by Po/**Qo**, P1/Q1, P2/Q2, ...

They may be regarded as obtained from a series Po + (Qi - **Qo**) + (Q2 (P2 - 1:11) +..

A Similar Theorem Holds In The Case Of Any Number Of Binary Forms, The Mixed Seminvariants Being Derived From The Jacobians Of The Several Pairs Of Forms. If The Seminvariant Be Of Degree 0, 0' In The Coefficients, The Forms Of Orders P, Q Respectively, And The Weight W, The Degree Of The Covariant In The Variables Will Be P0 **Qo**' 2W =E, An Easy Generalization Of The Theorem Connected With A Single Form.

If we put **qo**= Sq' - Vq', then **qo** is called the conjugate of q', and the scalar q'**qo** = **qoq**' is called the norm of q' and written Nq'.

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.

BankingA new banking law was promulgated for the wholc empire **QO** the i4th of March 1875.

Cc **QO** 0 o .,1e o~9 O, o 0.0 ~ oS 5 5

**Qo** - ~ ~Ci,, SC ~

Walsalt **Qo** n0 ?

Er ogl S Stia **Qo**;nt ?