Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 370r
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.80.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
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.
The machine reads it as
- 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
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 370r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0735?run=74