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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 2
# Folio 1v, page id 00068215:0002
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d05
injuria me fortesse vim inferre velle naturae, qui contendam ut
omnes aequationes ad has redorent formas bm+nat. lut  lmeln a. mn
jam inde ab initio
quemadmodum ergo sumus omnes quae ad tales redeunt formas posse
post comparationem.
educi ad aequationem quandam gu quam jam tum scribere porsumus
atqus cita alias similis posse excogitari magis diversifiatas et
et di produstitiae sI, aut eaq iisquae exe ex ejus comperratitiis
V. g. F 7 multiplicatis, assurgeret, magis comparabilem. Ex
edlem tamen cum usta fonte natam
Itaque sic pacedo: sit X Sint forme: bl+ cm + dn. C
bc -
hrumquadento quadrate quaerantur,  et scubatur
A+ 6
L4+
74
059590  B+
O.v 191 L ∞ 55
059505
∞75e5
tres
SB. 8. 542, D, et O2D 77 B,
4t9s1I
Cl +d mt bn3
dl +bm 1 Cn 8
ducantur in se invicem, fiat aequalio
8.8 siergo habeantur quuor aequationes
unde comparando sei
842
48b.
X++
+ 6
99.
ta
14 pure,
+ 4∞4
+ 774
+ O po
L
Xa
Itaque reperto E per hanc Esequationem, quae non nisi cubica
et proinde data proxime inferior est, habebitur et  pure ergo
habebitur et D pure, et 8 pure, nam par t ratio
habetis ergo bl + cm+ du aqu O cl+dm + bn aqu. D et dl+bm + cn
aequ 8 Habebitur e l. M. n. pure
santum ergo opus est, ut i  73 + C7+ d st Z
ut incollatitias
94, g2, 84 aequ. .
 esc
O2y2+ O q, 92 9t aqu. D.
ino non par ratio alioqui
forent 0. 8. 3 aequales itaque
OD8 po debent det 3.
significare relio
 duas equationis quali
est s, 
rabices
098 aequ. 0
1, D7+ 
pro 9.9. Y. sulstitur trs l. m. n. secundum valores supra dictos ( bt t CM + dn aequ. er
et ita in caeteriss
et habebatur assurgebur ad l’ in prima ad l md in secnda, ad ( Mtn in tertra
Forme
M
14
1 1t
I n4
quanquam et aliae termini sint affutur  Jam singulas harum aequa
tionum X conferamus cum singulis respondentibu, , ex Nnatis
excerpendo inde ut , et proeam multiplicando per arbitrarias
Jam sumamus collatitias ex 5V excerptas nempe 1. B. 7 easque
quanquam forte in hoc casu sufficiat sola prima + quia e statimi
Aet + contnet. jam C n ten unde coterus fonnas folli sufficit
et B subtatis caeteris continebit solom lma, forma quae sintim
attolli potest ad
singulasque multiplicemus per arbitrarias formulas,
ut apurgant quantum opus est, ad formas aequationum  nempe
 ad formam ) ad formam aequatiavis quae continet _, scmusque ad 12. sed quia jam continet
ideo hic non opus mulliplicatione. T ad (+ mt seu ad 8 dimensiones. B ad m nt eu
re
4 et4
t
0271
05D5
35 ess
e 8