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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 112r, page id 00068200:0225
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Hac ergo methodo tolli poterit,  et haberi propiietas tangentium seu
regula seneralis qua alteratia incopcutarum eliminatur quod neosarium
ad quadraturas Idem transferri, etiam potest ad eos casis,
sin qui ubi x et y. in se invicem ducuntur nihilominus enim semper
licebittot aequationes novas fubricare, ut postea facile
quilibet termonus destrnatur; sed iud
Illud adhuc praestandum sipveres, ut tollamus alio
Idem applicari potest, et ad tollendu peultus literam
pariter et . Sed ad hunc fcopum opus est datam
esse ad huc aliam aequationem nam cum one hujus habeatur
. sine intore ipsius  ape ulters habebitur pursus.
sine valore ipsius X. et ita tolletur otiam 
dx
des
sed polussimum id quaeritur quomodo puilcherrima haec methodus
tollendi incognitas eo applicari possit cuu potestas alicujus incognitae
habet exponentem prrationalem, aumo et incognitum
Et hic sucumit cogitatio felicissima:
sit aequatio: D + b X + cX + d X ei
fier:
aD + blX + emX + du X erc
dx
T+D + Ulg X + Cmm.  X + dm q2 er
ex
c
aequ. 0
Mult.
aequ. 0 per VX
aequ. 0 per W0X
C
L d + Hlis l. Z ten omo3 X +dupoen 2X etc aaequ. 0 per ZX
 fafs d
dx
Sed hinc vivetur sequi absurdum, nam tollendo hoc modo omnes terminos
ut inveniantur v. W. Z. evanescent b. c. d; ecq. sed jam video
sune oriri non absuna sed pulcherrimum theoremata pro omnibus aequa
honibus generale. Sed ut aliquid, determinatur obtineamue ad
et ut tollere possimus X. X erc. oblentis tantam potentus
per numeros rationales attollemus si placet aequ.
casuo
nomnis esse duo tatlum. D + bX aequ. v. fiet aD bl, X aequ. 0
Ergo D aequ. dX sed hoc quondeo
possitile sit generaliter capere non possum sequeretur enum fore aquationes
ad e lineam rectam interim non possum respondere a priori
imo jam video pullo esse absurditatem sed rem esse verissimam
mniru haec aequatio in hoc simplicissimo exemplo coinerdit (nu quadraturis
paraboloidum non. dx aequ.. id est Elementum areae a parte convexa ad idem a
 sa
eoa tir
Ergo