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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 316v, page id 00068194:0632
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Consultessimum forte erit ponere +IF  +f B esse p b. e AB. seu punctum A rectae
AB med Ab medium esse ita calculus credo non parum contrahetur: et conferendo fiet
(1)b H rb. alem Ema - zab - hb p Sb. item Xit  n - bq p, Ab
5)
Ete
E) h - 2a p co  et  =4b + eat b vda et denique 2agb  60 b .
hej na.to. Ergo in 5. fri: 4b- qu  raco ob, et ex 3, peritun ratt. radr ob )
Exi. n 1 Srb - 2b ex 2. ent m p si B ab t 5b- cob. Ergo conferendo:
in -dt Sbt - 25b a + co bY sie bpus arer 2n
Ver 4t br + 4bgY
(2 - 2sco + Co, +8 +b + 8ba
2sc+07 18n
. sed ne p + tb + b9. ergo
Y
et +84
+8F + 84 restant duae exediende. Nimirum
Jam satis feliciter usi sumus aequationibus, _, 1. 2. 3. 4.
ex 5 reformata fier. b  4a+ 2aco En
ergo multiplicando per ciucem:
q- .
4a 2acd ++4, +r, = c +5 +0, 
1q. c X 1
++4 8 Roer
tat +4 a 8 +2aco 8t + 2ac084 + 4 tra + 44r - 4 trco- 2r,
+ c + s + cd, 1d =  + s+ coG
proximo
pestat 2a q 00 b sive bp 2aq. confcrendo superibri ipsius b valori, fiei:
+ aloo + facoov  pa - fg. Ergo a p s 9ud -c00.  sed cum
r
n
in proxinia aequatione habeatur a, hinc substituendo valorem ipsius a, assurget q ad quadra
hum &t cubum. quod ut evitetur ausus aliquid pro arbitrio explicandum est, sed non licet facere
b 0. et si id uatde contraheret calculum, nisi et poncanga velima BG pd. ergo et AG p v
et ita duorum circulorum diametri coinciderent, quod vix puta consurtum. Demedium forte
commodisimum, ut ponamus 60  g. fir: b p 2a. et ap q- 20 = co hud non
sufficit quia reperitur a qitaque satius rebus ergo recte expensis optimu
A eI et fir:  a + 1lea co p 4rq - 4c.9 - y9 + YEd
sed ne hoc quidem alisfant nisil ominus eaim a continebit, q. 93. et opus erit simul
Remedium ergo hoc denque lentems  penendo. 3 4 8 + + 4 a 34 +24c0840
ponere et 6v 7) g. atque ita fret 3ra tibaco  tra + Aro + 4no   2)
T) at  +co
atd. - 41d. -4u
Atque ita jam formata aequatione t videndum est -g. 4. -4..
ane quibus casibus possibile sit aquationem aliquam solidam seu indevisibilem
aequar ploositae Utilissimum foret sed prlxioris no clculi. Nihil supponere
ne  quidem b. sed omnia inlergra relinquere ad aaequationem uisque netima
ubi denique pro arbitrion aliqua assumere liceat, ad eam reddendam planam.
jam cum aequatione, 7.  poterit conferri scormula aliqua generalis.
ac proinde apparebit quid hac ra possibile sit i vero
Alntu
mulla
bractus logia asi fusstemus, prolixissimus redditus fuistet cplcutus. Sed sub finem unica posito
omnin poluisser absiglvere
Caelerum hac methoodo etium obliquae
line Colerum quemadmodum schotenius praesciipsit formulam generalem pro omnibus
sigoratum mutationibus ordinatarum mutatiogsibus; ita jar forimula tertandu est quae
omnes applicate a une adjectae convergentes scilicet et divergentes explicari quant. Jatgiu
notabile esetsi nullus nullum spro ema solidum hoc modo solvi posset, tamen plana horribili
ver difficilia hic ratione posse solvi. sed jam vider demque lineam BF fuisse mutile
et longe simplic venori potiusse ad aequatioeponendo DF+ IF p eognilae AG:
Unde. Y2 ex +2e9  29- qu 42 ax = x  A( unde oparebit qua longe
alius sic oriatur calculus, ad quem m prior redimi porit atique patet 8 iptum esse phamo