Opuscula . 157 
eft -i^: fii^ ::Ch.A:Sh.A:ergo ^-±^ = -L , IhA » 
igftur^quatio ^ Ch..-!--!-.!!^^:^ vel ^ ^ 
f Ch.A.Ch. / + Sh.A.Sh./ _ e.Ch.AT"^ ^ r 
. . - _ _____ cafus me. 
dius nos ducit ad logarithmicam ; eft enim / logarithmus 
numeri z , quod ita demonftro . .^quatio ita fe habet & 
~ . C h . X ± S hT7 : ergo differentiando z z= J-^ 
^ r 
~TFn , 7 c u ^ «f/.sh.x + rfi-.Ch.j-^ . „ 
^aCk.s:jzaSh.f =z — . : atqui •— - 
r r ^ y. 
. S h . j ± C h . f = ±z.; ergo = ± -—^, five ± l£1 
= {is, qux xquatio, pofita fubtangente — oftendit s ef- 
fe logarithmum numeri z. Ita autem accipiendus eft, ut s 
:=z o , quum x> ~ e . 
Ad methodum fecundam multiplicata xquatione per 
tiz, & fa<5la integratione proveniet z.^ -f- ^ . ^ — ^„ 
fed pofita / — o 5 &c z ~ e y debet elTe d z : d s : : C ~{- c i 
^ : : : C -f- f : : igitur A = 
. c 4- , 
c* 
r di. 
tf*. Itaque obtinemus xquationem -r-r-i^ ^ := 
l/x^ + r^_c-+-«- 
Pono ^ '^z"^"^ — — ±. M*. Signum fuperius valebit ^ 
fi !ii5_jlL_ fit major d-^, inferius , fi fit minor ; fi autem xqua^ 
lis fit, qui eft cafus medius, erit M =0. .ffiquationem ita 
diftribuo II "^^-1 
Si valeat fignum fuperius , integratio dabit ~ z- =: S k 
. A -f-x. Determinandus eft logarithmus analogus A. Quo» 
niam fada s — o^ eftz=:e,fiet-^ = Sh.A, & = 
