Leibniz-Handschriften zur Mathematik LH 35, 3 A 23, fol. 1r
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: 0.85.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 3v); this page is its right half.
The machine reads it as
- 21 aequ. 4 2 +f 3048+ f0
- 21 aequ 4. 225 +. 1. 2. 3. 9. f 4 1. 3. 4. f F 1. 4. f + 1.2. f + 1 f . 1. 2.3. f- 4. 1. 3. f-H1. fnD
- 1. 2. 3. 4. + 1. 3. 4, + 1. 4 + 1. 2. + 1. B O
- (168 aqu. 3. 21 +5 aequ. 2 3D + Q ax + aequ 3D + 8
- seu tg aequ. 3. 4. 125 + 3. 12. 3. 4 f. 4 3. 1. 3. 4. fx 3. 1. 4. f 43. 125. (+ 3. 1 (3. h. 2. 3f. P3 b1 2 f( (1f.)
- + 225 = 1. 2. 3. f - 1. 3. f - 1. f
- C
- 152aqu. H 2. 68 +4. seu 2. 8 + D aequ.
- Ad.1)
- + 2. 3. 1. f
- en 152 aequ 2. 3. 4. 225 +2. 3. 12. 3. 4 f 123. 1. 3. 4. f. 4,3. 1. 4. f + 2. 3. 12 f - 2. 3.7. 2. 3f-2. 3.Y. 1. 3. f - 2. 3. 4. 1,
- 122, 28171
- a
- +. 2. 225 = 2. 1. 2. 3.f - 2. 1. 3. f- 2. 1. f
- +4. 225 + 1. 2. 34. f + 1. 3. 4. f 4+ 1. 4. f + 1. 2. f + 1. f Y-11. 2.3 f-21. 3 f. 81. f
- 1. 2. 3. 4 + 1. 3.4. + 1. 4 f 1. 2 4 1.
- 2
- Ergo bego Ergo omisso f erit b aequ map +m + p.
- a Imnp + lnptprnt
- Atque ita semper
- tolli possunt omnia residua, ut restent dento ultimo quod in progression
- Si jam ex his quotientibus
- negligitur) ut restent soli quotientes.
- quae sertes haberi possit series infinita numerorum cognitorum quod
- prpecuti pipit
- jen perpetuis substi
- ribes+
- fit methodo alibi explicata: tunc utique eadem opera habebit tollentur
- cogn quotientes, ad est invenientur eorum valores. restabitue sola
- litera a cum numeris, et datis aequationem ingredientibus Cum
- ergo valor incognitae b, vel rationis b per quotientes, inventus sit
- ope per quotientes ex naturato calculi generalis, potent poterunt
- jam tolli isti quotientes ex natura calculi particularis, seu ex aaequatione
- data. Exempli causa sit bb+ vba -aa aequ. 0. (loco aequationis: bl +C aequ. a.)
- hiiic aequationi jungatur ista: b aequ. me +d fiet: bb aequ. mc + 2med + d, quod substituendo in aqu.
- aqu. a -c aequ mc +
- priori fiet: me +med+ d+ vba-aa seu baequ. aa - mc -2mid - a.
- seu laequ. vaa-vac
- b + va p
- seu ay, a- c a
- aa -mmcc- 2mcd-dd
- a va + b+ v+
- a
- V a + mc +d, a - mc -d
- f2+ bf b + a b aequa. b + aequ aequv+
- V4 b
- a
- a
- B. terabhit ess d4 ergo quotiens primus est v. residuum vero et Calb (tate enim
- a-
- qudemonaa sumendum loco b ut sit linea, quasi instienta esset divisio per a uti ec sane
- brala revera per ipsum instituta intelligi debet nam dum dum ab uno latere per
- signaa Ergo a, do ab alio dividi intelligendum per a ob aequationem.) hoc residuo
- b debet dividi b. et fiet: = aeqo Itaque erratum e
- et sic potius procedendum; quia va +b aequa ergo divisione a simpra
- parte instituta iidem prodibunt potieates qui a gextra. Ergo fier: v + b residiu
- b, quo iterum sibide debet a. fiet
- 2
- a aequ b + (∞a eu ) 7+ vaet a.
- a b
- 5 + ba+b
- aequ
- aa
- aequ. aequ. + b (+ bb seu - B sed it hor prodest, deo relmeamu aequ. X + b +bib. quod si
- a aa
- ac
- sit b minor quam dimidia e a, erit quotiens alter v residumm vero ba + bb minus
- quam aa, et pribemus: ba +bb aa quod iterum subtrahendum a divisore
- isto aa. quiasut ante divisivaa ipsius va per a aequivalebat divisioni ipsius
- a per, b. itta nunc divisio ipsius ab + Bt vae per a aequivalet divisioni. si
- a per P. et proinde ob eandem rationem iidem prodire debent quotientes
- ergo continuanda semper novissima, idem enim semper prodibunt quotientes
- pay. 5
- =3.9. 1
- C.3
- bt a. Ergo dividendo
- si r critbraepaa
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 A 23, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068236:0001?run=74