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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 272r, page id 00068201:0543
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AL ergo aequationes hac resolvi possint
frat 35 l +3tma + 2+ mu + +2l po
35l 23h M + qtmf + h l, 90
3F9de 31f +3h Fde a3mh +3h9de +2htfde = m f, 4 2hm l
2tg de 1319 +3nF de 3ne t 3Ffde 13ht gde aniq  Am
componendas has duas posteriores, ponatur Hy,3ht +3kg + 2nt f f0
fiit.
3fy 13hF +3tf + 2ntg
et ff 31f +nh nef + 2hml. 40. et habebtur adhuc una aequatio
+ 3l9 3 m t m g a + ml
adeuque fiet: in qua de restabit
adeoque sunt aequationes 5, pro incognits f. +. 9.l. h. m. de.
quae sunt septem;
Ponamus fg p vH, faet.
Aie
-3h t 3h _ - 349 - 3+25 = X 8 m = 2 BL  + +
f+5H
quintam
2h F + 3f9
h+ +
p possumus servare suo loco, quia in ea sola superes
de, nunc ut has quatuor absolvamus, quas numeris expressi
potes simento jam hm Y C, H L et tmp G. tunc
litera m restabit in sla
licebit ipsam M,  et reliquae tres aequationes, ponendo co. et G.
pro datis, nihilamplius cum M dommine habentunt, omenda ergo
rediere ad tres aequationes 1. 2. 3. et Res quae solae supersunt
arbitrarias V,  f. 9.
Neta tamen ipsas
ex prima l  - F9 = 3+2  = 2 tMg  ex sumda _ - 3k m - 2 hpf
et multiplicando per crucem:
392+ t relinqui potest m.
352 + h
-9+tm -6f tmg (= 3ti Fm) - 2h + m g 7
9sttem -6st haf, ( 3frhm - C2t2kmf
Nota ipsae V. er Co. non quidem amplius arbitrariae sunt, ut sciliat per alias Explicari
possint;  sunt samon ea sed hoc sic in telligendum estposse quenvis
eis dari satorem modo in cum non ingrediantur literae, quae in valorem
ipsius m ingredimitur scilicet f. g. l.
jam p hanc aequationem componendo cum tertia, sie pro
 haec aequatio novissima. 9t
gma ghest +gna f  + 6gfm Cgh -st f 2tam  + gh -ft ps0.
et dividendo per oh - ft. fiet : 9p 2gh + ft, + 69fm = 2+ hm B0
f9 2th = gyh -gfl ec 44.3.
quod si um ponutur hp. t. fier: ( SgB
- 3h+ -3k9 - 2htf
=3h +2 -Y - 2h+9
59 +f
-3tf
10
=3h - 3+ + 2 H, sire 1- 4h
et =k) - 9 ch + 9hf p7 - ah et Be 4. hie 43b Ath + 9 H5 r bh
2
sive 9f. +6a fp - 36h. Quae aequatio umpossititus adeoque ope im-
possibilium exprimi poterunt radices omnes cubite, ergo res sic fieri non potest
erno aliter com te non subtrohem uos iptiu ct valores multiplicemg
videoFu hic esse mutile, et recta via indagandum ex primo ipsius fu valore scilacet erit.
2th - 9 f+
es 7.9u.
Gadeoque (th - oh et M - 9f+, - 3k l 1- 32 22th = 96+ -3het vs. pus
es u1
 Fyto =hht (= (3hF 2th
Ilnay sto et of. 29nt
in