175 
or putting: 
sin 587 5 
ij летове 
sin 12.95 
the eleven equations assume the form 
Sin 10 (587 E+ 0.5 he 
тр == Xi - ( таи 5 (5) 
sin (287 Е + 0.5 pa) 
In order to deduce from these equations the values of the 
unknown quantities X, and 5 two ways of proceeding present 
themselves; the first is to put: 
= ARTEN 
mb = A + Bo —- C, JJ de Mae (6) 
to calculate, after the method of the least squares, the coéf- 
licients A, B and € from the eleven equations and to determine 
the value >, for which the expression (6) attains its maximum 
value m: 
It is evident that, for р оу, the sine-function (5) must attain 
Из maximum value equal to ten, which is possible only when 
3875 ＋ 0.5 pr 9 
and : 0.5 pja my 
X — 
587 10 
пе ТО SAE 
The second method, which is to be preferred when both « 
and š are small, is to expand the expression (5) not, as has 
been done in the first method, in a series of ascending powers 
of e but of =. We have: 
реа А sayu ЗИ ee х 
6 5 
sin с 560 
HI 10 — po? + vo^ 
sin с 
93:05 px 587 E a + 6: 
мэс 165,» = 805.75 a — 0.5 px, b — 387. 
sin 10¢ 
— 
dine 7 10 + vat — pa? + 2 БЕ (2 — ма) Hete... . (8). 
7 . 
