Full text: Theoria combinationis observationum erroribus minimis obnoxiae

THEORIA 
COMBIN AXIONIS OBSERVATIONUM 
ERRORIBUS MINIMIS OBNOXIAE. 
PARS POSTERIOR. 
SOCIETATI REGIAE EXHIBITA FEBR. 2, 1325. 
_ 
23* 
JPlures adhuc fuperfunt difquiiltiones, per quas theoria praece 
dens tum illuitrabitur tum ampliabitur. 
Ante omnia inuefiigare oportet, num negotium eliminatio 
nis, cuius adiumento indeterminatae x, y, z etc. per £, 37, £ etc. 
exprimendae funt, femper iit poifibile. Quum multitudo illarum 
multitudini harum aequalis iit, e theoria eliminationis in aequa 
tionibus linearibus confiat, illam eliminationem, ii 3;, £ etc. 
ab inuicem independentes ilnt, certo poifibilem fore; iin minus, 
impoiTibilem. Supponamus aliquantifper, £, 37, g etc. non eile ab 
inuicem independentes, fed exftare inter ipfas aequationem 
idenlicam 
o ~ F- G i\ 4- U £-f- ctc* -{- & 
Habebimus itaque 
F^aa -f- G^ab -j- /i 2 c -f- etc. rr o 
u b -f- G ^b b HlHh c -f- etc — o 
F^ac ~x~ G^bc -f* U^cc -f- etc. n o 
etc., ncc non 
F^nl-f- G Shl -f HXcl -f- ete, ~ — K
	        
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