Gpuscula . 20 1 
XIV. Tres iam cafus oportet diHinguere . Aut enim 
f -i- cf eft quantitas pofitiva , aut = 0, aut negativa « 
4 
Srt primo quaiititas affirmativa , eaque fiat — nn , Item fiat 
z=:m0 Qiiare formula in hanc mutabitur 
2 ^ y 
tdt ~\- mdt m n dt n ~ m dt 
■ = . H . — ; — , Qu2£ omnis 
tt — nn 171 t — n in t -^r n 
m-\- n 
integrata per logarithmos dant /A — ly =. — 1 1 — n -f^ 
n — m 
2« 
It-^n^ & fado tranfitu a logarithmis ad numeros 
^ )7! -f- n n —'m 
y = t — n~"~. t-\-n '^" * Huic autem formulse fi rede 
fubliitutiones adhibeantur, orietur 
A ~ fx g -r- ^-^y — ny . fx -\- ~i~ '^y 
non difTmiilis illi, quam per primam methodum univerfa- 
lius invenimus N. VI . In hac itaque hypotheii curva aut 
algebraica cik , aut exponentialis . 
XV. Ad alterum cafum accedo, in quo -f-rfzro, 
4 ^ 
In hoc formula ita fe fe habet • — - = £^?llt_!^^ fjye 
dy dt — mdt . 
-f- — = ; — . Huic formulx , ut ab aliis demonflratuni 
y t t^- 
eft, duplex xquatio fatisfacit , altera quae iine integratio- 
ne^ altera qux per integrationem obtmetur . Prima ett = 
<?, five per fubflitutiones regrediendo jiz. — jy . — ~ 0 , 
r _ , a-k-h h — a 
live fx-^-g-^- hy — y , ~ fx -^- g -t' y 0 — — =: 0 , qu2e 
T.ILF.IIL Gc pror- 
