Some Examples 
Tr 
2 Example IL O; @<O (9.36 a) 
RR OF pps 
anit EO {Ei whe O60 
e 6 Av a <Hm O<0<5 
2 AB RE 
AtASAs; wspsco O<9<3 
O; Io pyl<e (9.374) 
3m | “py! <e 
0) = 42? ol 
anything otherwise 
2 2 3 
Then 7fXy;t)=Aicos(G*x-Hst) + Aesin(G*X-Hat) - Ascos(‘g*x-Hart) (9.38 a) 
7 
23 le I 
dE 
O; p< 
9@=z E ie) = Pe Hx 
6 al pe ) AY, uspe< oe - <O<% 
@--2 QM pape EOE 
6 , W(y.8) = O (S:Siab)) 
- Then x(x, y,t)=A cos(EXx cos €-ysin Z)— pyt)+ 
mo +A cos( 58x cos£+ysing )-p:t) (9.38 b) 
Example WV 0,0 sin (-2) 
fs O; sin'¢3)<@<O and p< 27> 
poe 0; ws" 
m0 ' 43 FP cpioo sin'¢z)<@<O 
aon O=sin's E (4,9 £30<O<4 24 ¢p (S78 
©) $sOcGcsin'(g) Spm < 28 
one Ig, SIN"E QZ ST <206 
; IF; O<O<sin"d) a <b < co 
Bienes 2; sin")<@xZ 2m u<co (9,39) 
W(u,8) = 
zs G 17 ~—-:(9.40) 
FZ 
Then 7(x,y,O) = Equation given on Figure t 
Plate XL. 
aS 
