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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 130v, page id 00068197:0260
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Sit aequatio quaesita
pro lansentium inversa Methodo, quando ponitur du: ax dari simpliaiter
valore rationaliter ipsorum X et 7. L Retineamus aeqg. 1. 2. 34. 5. 6.
loco aequalionis 7 ponamus v = l0)y + 6) Ly + (2) g. esc: (0) y A (1)) y re sus
seu V = P: Z: jam erat V. V = - L 1 M. et fiet: RA  Lq + M P = 0
st autemd LG = (0) do 1 + (0) dy G + (0) d2 y + (0) d3 y
+(1) d0. + (1) d1 + (1) d2..
+ () do + (2) d1.
E
+6) do. e C
et MP L(oBB y + IL [012y + HHoB3.) + 1HFOp4 y
O
22 P1D1. + 11 (12.. 4 111(1) 3 ..
+ 1(27) 1 + 11(272..
+ 1(3) 1..
ele ec
quae aequaitio coincideredebet cum
0 y + 1 V + 2y + 315 esc
ubi (0) (1) (2) etc
(pB, (1)) (2) et
sunt datae
at 0, 1, 2, 3, dc quasitae
) et opus ost aequationem praecedentem LQ+MP esse identicar
si ex aequ. 3. a quaesita tollatur y
Notandum est si pro estituat. tollatur aequ. 3 in definitae, oste aequationis 4
datae superfuturam solam V, eam vero non debereultias assurgere ea autem
sublatio non quidem actu ipso facienda est; sed cogitanda tantum animo, ut sciatur, quo
usque assurgere debeat aequ. 3. nec veii ne sublata y, assurgat D altius
quam Y. itaque si in aequatione 30 set ex tet y ner non poterit
0
tunc aequatio 3 etiam non ascendet ultra y3, nam ut alius ostendi
Si sit aequatio y.... + v = 0 et alia  etc =. 0. et epeposteria
tollatur y ex ag. iiori, non polent ascendet v altius quam ad v et in
universum eodem ascendetur utrobius. At si in aeci. fuisset v tunc
Cnisset asceniendum ex istente  ibi y, debuisset in aeg. 3 assurgi ad
Et ita determinatam habemus Methodhum pro Targentibus inoepsis non mmais quam pro
quadraturs.
si ex natura replicatarum
1. 1. 1 etc sunt
numeri communes.