NOTES ON RELATIVE MOTION. 235 
Now, since § = Fy — — qws, ete., it follows that 
= 23m (47 + €) 
2 = 2 (yw; — Bu.) 
= 2 (aw, — ws) 
= 2 (Bury — aan) 
a = Im (46 + £n) 
i 76C — BY 0, —7% + Bos 
6B = yo, + (A— C) w, — aw, 
p= hy + 205 + (B— Ado, 
Hence the above values for the component changes of moment of 
momentum become 
A (, + 4)—y7 (we. = 9.) — 8 (ws + 95) + 2 (w, + 4%) (yws — Pwr) 
— (w, + i) [— Bw, + am, -+- (B— A) ws | — (w; + 93) [yo + 
(A— C) W; — as | — 9; = (w, + 1)+B (w+ 9) —a (ws + 
93)] + 4, [—8 (; + 4) — 4 (w, +9) + C (ws + 95)] 
for the first ; with similar expressions for the other two. 
