Full text: [Allgemeine Analysis] Theoria combinationis observationum erroribus minimis obnoxiae (3. Band)

410 
NACHLASS. 
. , A — B 
sin lemn 
l -f-1 sin lemn^i —'sin lemn .5 
sin lemn A + B sin lemn A + sin lemn B 
i + » 
pp—QQ — PP, qq=QQ-\-PP 
P{a—b).Q{a + b) = Pa.Qa.^(Q.b i —Pb i )—Pb. Qb ,\J(Qd‘— Pa'‘) 
P(a — b).P[a + b) = Pa 2 . Qb 2 —Qa 2 .Pb 2 
Q[a — b).Q(a + b) = Pa 2 .Pb 2 +Qa 2 . Qb 2 
q[a—b) ,q(a-\-b) = pa 2 . Pb 2 -\-qar■ Qb 2 
= pb 2 . Pa 2 -{-qb 2 . Qd l 
q[a — b). Q[a-\-b] = qa.qb. Qa. Qb—pa.pb. Pa .Pb 
q(a — b). P[a-\-b) = qa.pb. Pa. Qb-\-pa. qb. Qa.Pb 
Ptp = P 
Q(f> = Q 
p<f = \j{QQ-PP) 
q r f = {QQ-\- PP) 
P2<p = ‘2PQ\I{Q' — P s ) 
Q2<p = Q 4 +P 4 
p 2cp = Q 4 — 2 QQPP—P 4 
g2<p = Q 4 + 2 QQPP+P 4 
P39 = 3 Q 8 P— 6 Q 4 P 5 — P“ 
Q3<p =- Q" +6Q 5 P 4 —3QP S 
p3<p = PP)-(Q 8 —4 Q 6 PP—6Q 4 P 4 —4QQP° + P 8 ) 
jScp = v'(Q Q + PP).(Q‘+ 4 Q°PP— 6 Q‘P 4 + 4 QQP“ + P 8 ) 
P4<p = 4PQ\J(Q i — P 4 ).(Q U — bQfP 2 — 5Q 4 P 8 +P' 2 ) 
Q4(p = Q 16 +20Q l2 P 4 —26Q 8 P S +20 Q 4 P“ + P 16 
/949 = Q 16 — 8 Q U PP— 12 Q 12 P 4 — 8 Q 10 P 8 +38 Q 8 P 8 + 8.Q°P 10 — 12 Q 4 P 12 
+ 8QQP 4 +P ln 
i/49 = Q 16 4-8Q 14 PP—l2Q 12 P 4 +8Q‘°P ,i +38Q 8 P 8 —8Q“P 10 —12Q'‘P 1;! 
— 8QQP 4 + P 10
	        
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