*? - ( ?xp } 
quartam, videlicet, 2,44.42s; 4- 4- 42 4- 1, ergo ratio for- 
tium erit ut 24 4^5 ad 6 zz 4- 42 4- 1 * Ergo cum xqua forte 
contendant, fiat 24 4- 4x3 = 622 4- 42 4- 1 * Qua aequatione 
foluta, obtinebitur z=i.6prope. Ergo ratio dexteritatum 
erit circiter ut 8 ad y. m • ; 
PROB, V. 
Invenire quotenis tent aminibns futurum fit probabile event ut 
ut aliquis contingat , pojito quid fint cafus a quibus primo tent a* 
mine contingere pojjit , & cafus b quibus poffit non- contingere , 
it a ut Ji A & B de eventu contendant j pojjint A & B aqua 
forte eventum affirmare dr negare . 
r SOLUTIO. 
h - , . >• ; • ’ t ..... . . j > > • - 
Sit x numerus tentaminum quibus eventus aliquis poffit 
aequali expeftatione contingere vel non-contingere, ergo per 
jam demonftrata erit a 4- b\ x — b* ~b x , five a 4-&J* = 2 b x t 
ergo 
— log. 2 
Log. a i b — Log. b 
Infuper refumatur aequatio a 4- b\ x = 2 b* , & fit a : b : : it 
8c xquatio migrat in iftam, 1 4 - -7 1 " =2. Elevetur 1 ad 
poteftatem x, ope Theorematis Neutoniani, & fiet 1 4 — ~ 
*+r x fS L+ “T“ xi ? x ii? &c * =2 ‘ In hac aequatione 
fi fit q = i, erit x = 1 5 fi <7 fit infinita, erit x infinita. Sit 
x infinita, ergo aequatio fuperior fiet, * + 7- "V 
Sic. = 2. Iterum fity=x, 8c erit 1 4- * 4- 422 4- 42* 
8cc. = 2. Sed 1 4-24-422 4- -?2 3 8cc. eft numerus cujus 
Logarithmus Hyperbolicus eft 2, ergo 2 = Log. 2. Sed Loga- 
rithmus Hyperbolicus ipfius 2 eft .7 proxime, ergo 2 = .7 
proxime. 
Ff 
Igitur 
