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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 139v, page id 00068195:0278
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Ubi est enim s Y secundus ternicus hius aequations ordnate secundum B. Ego AX. = v +8, 
Hinc ergo V 1 8+ et  X et Y8 - px +a et vE ∞ X3 + q L Y et ( NLYX + 5 YVC
Hancaequationem dividamus per vx =0, a quid radies, quorum una X, setegatirsae
vx
fiet D + XV + AVVL 3Y + X =0 Hujus aequationis radices sunt v, 8, V, 2, eadem qua , =
 que +gXV tgXX
quarum comma seu  = +x et vB x rG t vi XgX+ Y,
+ Yv+rX ed dem requa erxis voro
 a X, 5x(I) L SXX (X. qu ) SX (X 12Aqu 9q) FCX (x + quXa 15) 5(XKIZ, r HEY)
Hinc patet quicquid est rationale in v, non latereta esse - 5qr, et prieterea rationale quod latet in
L.H sueasusus  X 15 5 5+5))C seu in a x cum ergo rationale in X et  (ob p = 0)
sit  quantitati rationali - 5gr + st et idem sit = rationali in xs unico una cum rationali
in B3. Et rationale in v sit rationale in AX - SqY. Fiet - 59r+ gt = rational. in X + 4(pational. 1. X ) - 59Y
Ergo sit re 5 pational. in p5) = 5t. Ergo tander rational. in XS = t. Sed rationale in X3 est = 
Nunc videamus an etiam investigare licent valorem ipsius ln. is autem habetur invento
Ergo habemstardem 15 + mSt nE + BS = F
X vel conflato et P et 1 ab datam jam l’nam qu..) l +. 2l m= t
s  Hujus aequationis radices sunt priores dennto X, nempe E, X, =, 3c. Sed litera X quae
hanc aequationem ingreditur revera est - X. Nam alioqui  posito v, in aeq.  v.. esse habere radices
priores, producitur ex V +X,  V+ E, X+X, ex. in se imvicem ductis
in Pseu