Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 103v
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: 0.79.
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. 104r); this page is its left half.
The machine reads it as
- talsae
- infinite parvae
- et horum potentiae nam x et dax sunt ejusdem gradus infnite
- ilfuil si tamen ponatur dx constans ddx fit o. et
- si ponatur ex progressionis geometriae, erit x
- seu x ecit adx etiam progressionis geometricae, nempe B X.
- posita B. infinite parva constante.
- a+b sit aequatio
- a + bX + Cy + exy +f X + gy + hxy + K Xy + lx2+ my etC. 0
- bsx + citys + exdys Ffxs 129yd ypalix stus +KX dq +3lx 13my ly 8CF7 0
- yar
- +hy x Fikxydx
- C Tentamenti facilioris causa ponamus h. K L in et. 10.
- fier bd Hinc patet in aequatione differentiali indeteminatus
- summa indeterminatas uno gradu esse inferiores.
- quonata alyte sit dy n e fiet dus r
- dly p
- apdus - p ady
- P ee
- 2 ddy dus
- tus
- Hinc patet non posse quidem absolute dus inveniri per
- daus posse tamen in lato problemate tolli omnia solis
- relictis dus dius ddu et ita porra niso ad hibeatur ex
- sed in brevi minoribus problematis icipiamus
- a + bx + cy + exy + fx + 8G 5 0.
- b de Xdy + 25a dp 1 29yy (70. seu set du brefxrey
- ie y +x
- rusus d B
- x
- s
- adus x adxdus
- da
- s
- dx 1 c+ 29y + CX
- Nam Sed quoniam nihil refert quousque excrescat d modo
- toltamus aus. Hinc ita procedi potest: 1, dx A dx dus d dl.
- de O
- ue modo fier ds
- du
- dy 1
- dds y + ady .x 1 sunt autem O et D etto
- prablematis fiet: dis
- rursus
- t
- A
- dus
- 1 afa+ todatae ex natura us
- p problematis
- . + ddx dus + day (+O +D (4) D 40
- d0D
- d B D ergo dis d Uade patet ipsius
- ex
- di quoque valorem haben posse per solas ordinarias quantitates,et
- per ax. ey. x adu fier enim dep O dD
- D do Fddxdus + daus de
- quod est summe nemorabile.
- Eodem modo quaecamus
- d+ (id est dx) f Aliter et brevius: ex du0
- 4ut
- Eodem modo quaeramus d’+ fiet. Hinc duplex habetur
- de dy vator ipsius dex unus qualis ipsius dus
- alter qualis nunc ex superiori sit.
- iy dx B 1 + aaxdu f ddys lx
- quin imo si non curemus quousque assurgat dex.
- rem brevius admc conficiemus, est enim:
- Erge d’yp d+
- l+
- a
- D2
- 0
- aequatio
- ety y e
- tus
- x
- dx imposterum
- fignificabit ex
- et ddx significabit
- dax
- et dX sighificilut
- et 2 x significalit dx
- et d dx significabit
- t
- et d’a’ X significabit d dx
- et d’ax significalit d dx
- sed quisiquid sic dyddx
- tinecessano lineolis opus
- t nempe dydax scubamus,
- sc
- tantum atticie
- do si upliater sum
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 103v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0208?run=74