Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 24v
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: 0.81.
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. 23r); this page is its left half.
The machine reads it as
- verum hoc non licet in problemale deteminalae, nisi cum
- Caqua luc quae loci communes sint, se tangunt. Et hic certe
- hubemur instituere hanedifferentialem. An non it illud
- quoque satis euincit stutim non posse rem prodedere, quia
- s
- in effectus d eon cos = n - 91 est de
- quod co sipru dd Unde sit co dp: p = pap
- An ergo sic licebit scrbere
- ervatis incomparabilibus
- 22 P ap + ap: p + ap dp= dap. (ubi hoc saltem
- B
- un c
- Ncimen est non meglecto seu dax in valire ipsius y.
- quod hoc modo prodit +dap cm alius esset tantum 2dap,
- 14 4
- 2 a
- et reducendo ep ap+ a ap = picat
- patet homogeren esse 2a pn et et 4 p) dax nas ob
- et du comparibales infinile parras, sit sunt et pdax eliam
- comparibiles ut constat Ergo vilissim etiam dp et pap dap
- sunt comparabiles
- quad si non consiseranda quod
- eq sunt ut reciproce ut pe, instituissermus
- caleculum differentialem selceam a vocemus c, fiet
- dC = n - q. seu (d-2c dc + de (C)- prapaa
- dp77 2 Ep ddp = adp2 sen- 2cdc = 4 dp dap. Esto
- am quia c = Ba: p fiet de = a andp apan: p
- Ergo jam ergo - 2cdc = E+ 2a dp + 2a p B dB: p3 dpdop
- ubi tamen si ponamus pr esse constantes, et dpr redegnt priora
- et fit ut aute a e : p3 = 2 dap. Unde sequitur.
- rep esse reciproce tubis a p poportionales, quod comen
- absurdum est cum possint sumi pro arbitrro
- L
- duutance
- Arisore non licec hoc casu sumene
- 7900008
- delegere possim causa errois n pro
- sit P2C = 1000000000000 et 1c12- 150000
- +C2G =1 2C19 64C1 00 008. 090.
- P2C22 1000000
- C29 8000000. unde caetem determinantur, nempe
- ec Q = 7 X 2C.q 4 cerg -1 X 3C32 =
- 12
- eC.8 1B 4000, 000= 2C19 300000, 1C2G = 1. Ergo
- X
- B. C
- 2CM seu 2G19= 3000000-gErgu 2 C3C = 5000000. Juq differnita inter
- jam n = B a 9 b- p+ p9: b substituntur in aequ. p
- et nn =b bb = 2p = pq + p +2p9 + p29. b jam ide ex alia aeq.
- 4 C,412
- e qpb2 + Co2b2 = co p : p b. Erg fit Pb - 26b -pqb +
- pi(2+ Co b- co p2
- 3
Cite
Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 24v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068160:0048?run=74