Full text: Theoria combinationis observationum erroribus minimis obnoxiae

THEORIA COMBIN. OBSERV. ERRORIBUS MINIM. OBNOXIAE. 
9 
III, Si funciionem (px proportionalem ftatuimus huic e hJi 
(quod quiri em in rerum natura proxime tantum verum eiie 
poleit), elTe debebit 
XX 
~~ ITh 
**= 
denotante nt femipeiipheriam circuli pro radio i, vnde porro 
deducimus 
m — hV' £ 
(V. Disquif. generales circa feriem infinitam etc. art. 23.), 
fi valor integralis 
\T 71 
— z z 
fe àz 
a z = o inchoati denotatur^per 0z, erit 
,u = 0 (XV|) 
Tabula fequens exhibet aliquot valores huius quantitatis: 
X 
A* 
0,6744897 
o,5 
0,8416213 
0.6 
1,0000000 
0.6826895 
1,0364334 
0.7 
1,2815517 
o,8 
1,6448537 
°»9 
2,5753293 
°.99 
3.2918301 
0.999 
3,890594° 1 
0.9999 
00 
1 
Porro 
io* 
Quanquam relatio inter X et p ab indole functionis <px pen 
det, tamen quaedam generalia ftabilire licet. Scilicet qualiscunque 
fit haec functio, ii modo ita eft comparata, vt ipilus valor, cre- 
fcente valore abfoluio iplius x, femper decrefcat, vel faltem non 
crefcat, certo erit 
B
	        
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