492  Methodus inveniend: Lineas Curvas a 
= d. e e é e 
log. : ; Pome fee = net N bafi logarithmica, erit 
Aa % 

pr eis ¥ Ont 2n2 : pig 
S0ON%; Zier Soo! et = | 
: ee a oR 
of ie qua eequatione curvarum indoles innotefcit. 
oe 2n 
Si V=Y funétioni ipfius y, eadem calculandi ratione pro- 
ren dy CN"d 
So ae (= [ie i “)= = Wf cee a qua curve cognofcuntur. | 
vig CN 

Evidens hine eft quod swotiesf Sd vel [ Yay algebraice 
dx dy 1 i t 
hg Paiva; ape on Tages ogarithmos, atque Nig aes 
wise 4 
obtineantur, curva eft 




algebraica. 
Exempl. 1. Si fit U=3 erit [Udy = 3x+A, fi vero f Ude= 
ed quando x =oeritA+ =< et fUdw — x =o*. Per theorema 
. dx dp . . 
ioitur =-— “ et per integrationem log. 
gitur S ( "Tea 5 ct OP g log 
/a+4x+log.C=log. -, pofita p=1 dum x=0 log. C= = 
: : / 
~ /4, unde facto a losis tranfitu Fe =: = 9 ie 
rare oer gl = 5 oe “SIS at en )= vas 
eequatio pro Parabola dessin 
See x 3 Ws 
Exempl. 2. Sit U=—* erit [ Udy == sey +A, fi auten 
J UVdx =o et YS erit A=o a f Uden ts Vi 
Tena ie es 2, et integratione 




4 
I 
igitur theorematis erit ~ 
a =T er 
4 log, 

