(103) 
Bret 2 1 
2 1 el 
L= V pnt, ie ae 
d In, Sat ( Zat 
= — — — cos (t — a) — — —sin(t—a 
dt Vo 3 Viet } 
OET tst 
ad, 2 1 2 1 
——= OT —_ —_ oo —- Lt — — = , = . 
ln V = at £) WV = re (t— (2); 
2 
hence 
2 m — n 
Ut == — sin (2 — fl) = — sin 1, 
TL wT 
whilst for t=0 we arrive at Ui=0. 
So we find 
‚ mn 
oo sin —— 7 
i 16 = 2 
t uw m— n? 
and as a special case 
From this formula many others may be deduced important for the 
theory of Bessel’s functions. 
Mathematics. — Mr. K. Bes: “Analytical determination of the 
ninth point in which two curves of degree three, passing through 
eight given points, intersect each other.” (Communicated by 
Prof. J. CARDINAAL). 
Let 
aj 28 +-a94y-+ag2%2tayay®tas ayehag ae Hary Has yr2fug ye Hage =0, 
(1) 
bia3bg atybg x22+b, ay Hbo oyedbo ae Hb yds yebg ye?) 9 2°=0, 
7% 
