Full text: Theoria combinationis observationum erroribus minimis obnoxiae

THEORIA COMBIN. OB3ERV. ERRORIBUS MINIMi OBNOXIAE, 49 
36* 
Problematis alius, praecedenti affinis, puta 
Inuejtigare mutationes valorurn maxime plaujibilium incogni• 
tarum, n mutato pondere vnius ex ohfsruat!anibus primitluii oriun 
dos, nec non pondera nonarum determinationum 
iblutionem tantummodo hic adicribemus, demoniirationem, 
quae ad inftar art. praec. facile abfoluitur, breuitatis cauila fup- 
primentes. 
Supponamus, peracto demum calculo animaduerti, alicui 
obferua!ionmn pondus feu nimis panium, feu nimis magnum 
tributum eiie, e. g. obferuationi primae , quae dedit V~ L, loco 
ponderis p in calculo adhibiti rectius tribui pondus rr: p*. Tunc 
haud opus erit calculum integrum repetere, fed commodius cor 
rectiones per formulas fequentes computare licebit. 
Valores incognitarum maxime plauiibiles correcti erunt hir 
(p* + p) ctX 
p 4- ( p* — p ) ( a a -j- b /3 + c y -j- etc. ) 
(p*-p)/3A 
^ ^ p + (P*—p)i a ct + b(3 + c y + etc. ) 
'i p* — p) 7 N 
p -j. { p* p ) ( a u + b ‘0 -}- c fy -j- etc ) 
etc ponderaque harum determinationum inucmentur, diindendc 
vnitatem refp. per 
(/j* — p) ctct 
p + ( P* “ P) ( a ct + b& -p c 7 -j- etc.) 
(p* — p)00 
Icta] — 
[0/3]--; 
p -f- {p* — p ) (o ct -f- b p -j - c 7 -j~ etc ' ) 
(p* — p) 7Y 
[yy] 
P -h ( p* — p ) (o ct -fi b (3 -f c y : + etc -) 
Haec folutio fimul complectitur cafum, vbi peracto calculo per 
cipitur, vnam ex «hiemationibus omnino reiici debuiffie, quum 
hoc idem iit ac ii facias p*~o; et perinde valor p* ~ =0 refer- 
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