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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 24v, page id 00068194:0048
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Dio phantea; et illud generale: Datam aequationem rationaliter explicare, ut sit aequatio ad
curvam Ellipseos Conicam: Sranfax +a + 1 s F. equanda cui Ergo
quadrato a seu 2. sit ( ZH = + f0+4 r1. fict: a
E
rapfaxt
a1) 
 +a +i(+ a +1)
sed sic res ut video nondum absoluta: procedamus rectus: et scribamus.  saerax +aeq FGt1, 4 a 279 ax + x
ubi formutate nomnatoris is quanda quadrato
1
forte utiliter reper poterir privi seminbsoluta: a
24X + a x
24+ aH a + 2FFaFI. mo video ne hoc quidem si sufficere
debet inim non defunte, seu incasu particulari sed indefinite reddi rationalis. Praeterea non nusi duae
restare debent literae indeterminatae in una aequatione. Itaque vertia assumta quantitate co
explicanda per eam X, ita, ut possit extrahi radix ex prima formula seu oalore ipsius Z. ut scribatur
2ar1a  (+9+) s4 co  Co ra F a +  ( 4 +1) H 4 4 1, roocemus (8. et Co
 raxfatp, V +av 1a+ 4 Xt 
fier:
vira +2vara et ausus:
an +L) rapar  XII raY +x
143 4 x F X x + 4) vax + 2) a XV.. sive X (f 29 v. + D
ed ita ex 3 + 2a3 potes deberet radio extrahi posse, ubi
+ 4 vi.
X ascendit ad quadrato quadralum, adeoque res difficituor a
prorsque vam intio unde recordiendum redordiri possemus at formulis Et
sud id nunc non  opus, sufficir mello dum lenere. Imo u
4
t
  ..
speformulae e res multo simplicior reddi potest. cubtumus 2ax + 4 Xt r ∞. fier YZ +Y E
est radix ex E + yE2. (1 +7E8 et  ⊓G+ Y E G aliter.
3
tq
Z extrahenda
8+Y37, V XY seu 1+ VEF 2p eC. sed nor et hit munc immorandum. Sufficit metrodum genere, at tantum
ad mocuruinem seriei rutionatis solutio problematis diophantaei supersit.
C2gi
remxpptims
fict 4m Ce aqu.amires sic ua pr redit quia incognila
ide
1
mo  sintumqus  ceci erta