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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
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Videamus an calculo generali tentare liceat, quomodo ex
Curvam sidinatim positione dalarum concursque alia fotimetur
sit curva ordinatum positione data, cujus literae sint a
v. ex quibus Z et B sint coordinatae ecesit an
seu variabiles in curva, e sit paratne ter variabilis decurva in curvam
, e
assumtusque sit Axis ad quem ca Assumatur generalis aequatio inter
e, Z, V quae est ad curvam, _ cujus non potest dari aequalio generalis, sed pro
alio gradu alio, prout altissime assurgitur conjugendo e et X et y v. 9.
si esse ee XX +07 + =0 itaque eandem per aequationes
100C + 010X + D011 = 0.
Et ita porro
200 e, + udex =0 300e + 2b eex + 1 exV =0
201
002 ou x
Tatis autem aequatio est
030 X
0037
201 el
120 et
Verum enim vero jam video me nn bene
oEi x
Et ita pono
oprernre e
nam Es Et si autem plures possint assumi variabilitates
in Curva, tamen res reduci seuper ad unam 
e B
in Elliasi
Ztx 2rX - Z XX = yy
Tumen
v ut
pat et vanum
Yquam g. et relatione unius ad alterum haberi of posse ope
etsi una solum revera, sit parameter,
variabile
alicuius constantissimae, si rationem ipsem
Hinc nd video me non recte processisse. Assumendae
sunt e X y cum constantissima, et ita prodit aequalio
1000 + 110de + 1FI0 ex + 1200 ee + 1I1 eZV.  et ita porro
1101 et 1020 Y
ubi coefficientes numeri involvunt constantissimu
10107
dem porro
1001 1011X 10027
Rerocetur ordinatae curvae sint L M suv
et M seuq sed punctum curvae H referatur
jam aliumaxem AB, constantem, dabiturque situs
axis variabilis currae, si ex L et H, punctis in
ex comprehendentibus parametrum si placet
demitagantur normales in axem LG, 1tK, et
assumantur AG, Gt AK, KH, quarum retatio semper ad e
darioportet ita mutabitur aequatio ita deiuide duam curvam intersectio
a
 NN, vel (N) (V) intersectione habebitur C seu linea
CC,ter si velim ix lagentitum proprietate desirnane cumor
hhabe
quaeramus proprietatem tange luncurvae NN inde dabitur et proprictas
Lelata ad uxem AB, ita et curvae CC r proprietas dabitur tollendo
pammetum e ope propriptous ipt duam aequalivnm curvae assumtae
unius ad hanc curvam alterius ad ejus langentem
Fingarus
Haec sanc multa egregia dabunt
Meoremata praeterea solvendum illud aenigma, quomodonam
agnosci possit utrurcurva quaesita sit deteriminita, an vero
per datum punctum duci possint. Hodc necessaru
ad perficiendom mehodum
quod si agnosci potest curvum quesitum esse determin
l
natam an inde dabitur. Methodus eam inveniendi
Ex pars prima Expto Loganthmorum videmus, quod
in
aliquando aequalis differentialis abeat in determinata
dum scilicet ab utram parte summutro fit: Dabil li
video tamen aus, non sic quo liceret ntrobius re assumere diverso omondus
9. (100
si si sit dus Xax, an trecesse sit dicere esse loga =og +X
en a= arX, posito a esse cujus logs. esto. revera tame non videb
ns summane
C
50+
10na + P
quid pbprohibeat variari ut scrvertur elogs y = b = log sat x