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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 9
# Folio 11v, page id 00068104:0022
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068104&page=22
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.84
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Videndum tamen eu non liceat
in aquatione summatrice  adjicere
adhuc dus non tantam cum summajam
cocunda reperta est, sed etiam ad
2
eam investique eandam, quia inter cal
culandum uil mutat, servit ad leges
homogeneorum implenias pluresque termi-
nos nancisiendos, et deunde in nata
inde differentiata, pro ddu
substitultur valor notus per solas
asfectiones ipsius X
Xdu 23 Ex Ax. Ydy Fdx - X dx
y = X dx +dy: dys. Et fcet
deed sit a
ed eaxedu
constans fe
dy = ex + ax: dy + Xddx: dy
seu di = du dx + dx Edx + Xdax
+
seu tuL dx + L15dx + 4Xddx
Ergo fiet, dd X + : ID X dix + 4Xda dx
O
seu fiet
aducax
VSdx +4x lax
Sdx ex Sa dux  +X ddX
Et habemus proinde
dddX = - ddx. V5dx +4 daX : Z X
= + dx ddx : 2X. U
Ex hac aeq. totlamus X quae sola turbat
ope aequ. 2, quia cu in sumando
nonturbat, et fiet:addx
ddx 15dx + B ady - 4 dydx - 4 dx
x + radx dx
2X. seu sie
2X diux  ddx 
et Ax-2dy 47c
seu X ddde ddx 4 dx - dy. est autem
Xdddx = Xddx - Z ax Ergo ex gercofiet
1t
Xddx - = du= L dx - dy dx +haque
quae coiicidit cume quae si non coincidi
curi aeg. 2 dabit solutionem et
reduaeretm problema ad rectam, si abet erur
coculi. pobcissimm et collere X ex aeg. 9. 
et evalmisset etitue ddx. itam sic. Ex aeq. 2
tollamus xe, differentiando. Htabobitur
valor ipsius dadi per dx, ddx et dy
procedetque summatio, quia proinde ec
si loco earum adesset D, do, a. imo
vos semans poterit reduci ndnvadra
tne  t an eme habebimi
pauut diceu pau  qu lau 
de dule dida Ros processit
quia abit a