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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 97v, page id 00068199:0194
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ope harum aecquationum restabunt simplices 10, 1314, esc.
ce
stabunt et simplices, quamqalviram valores, et destruantur
fingantur lolinem novae sem simplices, quot est opus ad tollendas
10, 11, 12, 13, 14, Earum ope tollantur insae  lio, dir etc.
restabunt 10, 11, 12, 13, (4, hoorum quaerantur gatores, qui erunt
reddende identici seu aubiles ope tam assumtam iterarm
arbitiariam in fictitis seo equationibus quam ope ipsam
aqua arbtiariam ad mulhiplicationem assumiatum
 cum scilicet multiplicaretur aequad 2
Ilya
100 + 110y + 101 dy + inory H e y  aequatio data resorvenda ast
sumatu 2e0 + rioy + 3oidg cujque tam habetur polutio metiplicetur per
Asumatur ny et fid gede +  +ny +ndus, hoc multiplicetur erfy
ul y an
fiet  (B gm +  m + fny + fndy + gnydy + gngy =0
hoc aequetur datae fiat ntd dueo
+ funu
agmys +gndu
et gn = I1I, et fn = 101 et gm = 110 et fn = 100
habetur n costanti
+gangus
f = 101 :n ergo un m: n = 110 seu m = nOn : W1 et 101 m: n = 100
sed ita res nimium determinatur F sit n+ dn -0, erit n constans ut dixi
y = CH : n
et aequalio ert fn + comus +fndy + gnusdus ~ 100p = 10 sy + 101 pdys + II py dy
fiet p = fx p = gn: 11I Ex defit fn = 101 gn : 111 Ergo fg7 g = IU1f: 101 et p- (1d n fu.) 101
dy
Ex yfit am = Uop seu IIfm : 10I = 110Fn : 101 eu _ m: n = 116: 11, superest
fp = 100B seu (n = 100F1: 101 sud ita fieret 100 = 101, quae praeparatu an sit
postibilis videndum sit 200 +210+ 201 do + 11IVdV, fiet v = fx+1 et
11. 200
210. I1 20 dfy
duc (dy ds. V + fdys + du
ergo prostat collere dis 20183 pe C99. fm + 9my + fn dy + gnydy =0
11d1
et o 100 +10fy + 101dy + 119 dy fit dus = fm +gms, :, fn + gny sed ita
mulplicatio evanescit. Ergo resumatur in + (1 + du) y = - dy = 110 410y, : , 101 + Iy
sit 10im +  1 my. + 11I (1+ du) gy C = 100 + 110g ie non procerit
+(1+ du) 1017
si elbet m Allumatur in yy + ny + p et  sit in constans
et fiat mgu + ny + + p + ny Q + mgy + gndus f29m ydy C7 00 Aicoy + rat 12099 + 11 dy F 111yd
qap tgany tam gy E
qu = 101C gm = WII. 2A fit 9 = 101: n X IZ: 1
et m : n = 2. 101 : 111
seu fit E = 2m, : 2. 120m uam et 9 = 110t - n, : du = 101 t. n. seu 1otn - nn = 10lF dn
rursus q=. 12 c = m, :dm = 1nF: 2m et fit 2. 120t 2 m = 11 tm
et nusus t = nM, :, non - 101 du, ubi pro quia  n = 2. 101 m: 117 = Bm,
2.1om - iIdm 11oBm - 101d Bm - 101 Bam, ubi B cognita ita videtur plena haberi
Asmmi
liet mm
porro p haberi pd pro 0
solutur, quia feliciter evanescit nm umo reperitur am: in fieri=
52egu