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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 105v, page id 00068198:0210
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orte licebit assumere relationes imperfectas sen differentiales
et duas quidem a liberas, seu quadralarias tertiam implicatam
seu tangentialem. V.g. aAnguli AGE determinatio per AG
potest esse, quadrataria, iem relatio inter EF et FM, potest
etiam esse quadrataria. Relatio vero inter AN et Mo potest
esse tangentialis seu differentialis implicata. Ubi videndum an hinc
alculo possit definiri linea C(E) saltem quadratarie. Nam
sinc constini poterit etiam m, M) et ita solvi differentiatis implicatoo
per quadratuas
vet pF assumi E (E) quadratarie et quaeri
hinc _ linea H H etiam quadratarie
videndum etiam an effici
queal, ut non opus sit tanta assumi, sed divulsio quaedam ostendat assumendi
Utile erit quamtlurimas ex gentralis
eis generali cabulo ducere aequationes sen cobinaiones, ut apparent
modum.
apeta Electio
deprehendi laudem recolvi nos in priora, nempe
redi pro e, Y, fy ,
fk,
Omissit aegq. b, 17, 13 atque ita sequestrando X, dx n, dur,
habetrus aequ. 16, 18, 14 in qua _ C, V, S, M, M. de  de: d, dm: dh, et df: di
Itaque si acceteret aeq. aliqua differentialis data, ut de: d = C; 7 - E.
res rediisset
ad aegg. 3, in quibus nempe facta 6, 14, et factam ex 18 per sublata
de: d. Et habetr habemus tres agqu. in quibus e, V f, m, h
dm: dh, et df: dE. Et hinc tollendo e et Y habebimus aequationem
unam in qua f, in h, df df: dh, am: dE. Qualem solvere
nihilo hifficilius est quam ipsa tangentium invera. Et proinde nullus hic
factus es propessat,  ad Melthodum tanus. inversam.
 pay. 2. satis alilia sint de inventa cirta pochisuum
si tamen talis sit relatio valor ipsius de: dV per P et Y ut
p
sublata V et e simul tolleretur aliqua litera ex reliquis verb. gr. m aut .
.
Vel si ponamus de: dYa = Ea.
res possel ceduci ad quadraturas
inde ex 18 fieret 2a ee + a1) = ame + afg + e)E + hqE - m) E =0
Jar ex 7 est Yh + ef = eq - 9m
Unde tollendo h,
fit