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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 370r, page id 00068196:0735
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 369v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=735
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 22 lines, status machine
# Lines: 22 recognised, mean confidence 0.80
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

sit y= axdus  exae, rate su dy = agax - 5Xdx,
sit ay  b dy +  dx seu d se sit ddx o et X vocent t, et  dx actimm at ex
s
et dd X dat du; et ita porro. dd d dddx AddE dx, et ia porro.
tit u b ddy + at x: asgo = ay t. dx, : b fit y = b dlus + b at tx + a t ax,: a ax
et potito od oferibi potest
v = bly + BX sit F = X d=dt ax = d X ddt sx = dd X, dddt x = ddd X, et tuprrr
iam sit y = b dy + + dx, : dx. et dy = 3 dx - + dx: b et g
dy = bddy + dt dx, : dx. et y = bb ddy + b dt x + F dx,: x
dy = b d. y + b ddt dx F dt Mx: dx et y = b d.y + b dit dx +b de x + t dx,: dx
dy = BFy + b. d. F dx + b dat dx t + de dxt, : x et y= bd yr b d Fdx  b datdx t bat da + tdx: du
ergo sit, y- + + b dt + b dat  + b det  + B L dr b l. F + b d. F, etc.
Unde patet si F sit quantitas inte rationaliter integre determinata ex, x evanescere alicubi
aliquando differenti alium seriem, et posse inveniri abso late ralorem y.
sit e  sit y = edg + t dxsi dx posito tam e, quam t, dari ex X, fiet dys  ydx = t dx. _ 
1  fit dy = e ddy + dedy + dt dx,: d X, Eppo ex 2 et 3 sit ee ditys sen dy e sit cettus de da L + edtdx,,
fis y -I ee day - d edx + e dt dX3: dx - dedx
ita 4 Tantus differculla ado, et du inde natam comparando cumvatore ex or. 1. rursus novas habebitur
valorem
x. cdx.
Gax. tax
vilor ipsius y. sed non semper ita copendrose reducibilis