Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 106v
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.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 105r); this page is its left half.
The machine reads it as
- Unde yp
- c. +2d. cbG
- Mistiplicetur per
- diX + 2dagX + a d
- X7 + 2b X + b
- + radg X
- tralus en
- +am.
- +aem.
- rase H mags
- 1ab. abm
- =radom+
- +2ad 91 . +aji X 111
- +rabn. Aen..
- + d’ap.. + 2ad ap. + ag ax
- talap: +rabap. +a
- y s + al,o. ponc: y H8 X + siet: X f 2b X A p 1
- et ex equatione proposita fie. dN + adgX + a g 1
- tat. + 2bal + b al
- producta jam aequatione quadrato quadr alica nbi factitius
- arbitrariarum 5. quaeali exciletur alia ex cubica data,
- nempe X + ahX + a B
- Nt tn X rali tall X almpo. multiflicetu per d t ac fret:
- + d X +dem X + dah X + d’ael X + d’aetm
- + ac tacm + acdh + d’ atm + acalm 1
- + ac al
- +acatim
- conferantur nunc aequationes O et D
- sed jum venia in mentem ad sie quidem fieri imtiliber cur enim unu multiplicetur per x +n
- alterum per X + nX + ap. satius erit aequationem sumere (ubicam puram X + a
- eamque conferre cum quadrato quadratica hac Cubica pauto ante producta etsi male deleta:
- X F +d X3 + 2ad g X + ag
- +ab.
- + ac ... + 2acb
- + dum
- +acm
- Bo. confereuticum crbiapum d X2 4 d’ael
- + radum. + agm
- tveacbm. + acbm
- X3F a ducta in drtac seu +ac
- fiet ex terminis secundis. m =2adg - 2ac b Ex ultimis: m
- unde - 24 dg + cb ag +c b p d +2aC d + ac a B
- Exteulis a ag + cb, 2a d’Hac ( 42 Bdg + cb,) + d + ac , ael
- rac, 2ad ab 1V 1.
- sive ag + cb, ( a +
- si sit equatio.
- +a B
- -2a 9 2ag + b
- Ex his h aequationibus sufficit ut resoliumue duas
- ad obtinendas dg duas ex arbitraries
- Unde con sed consieratis aequatinibus
- adscripsi N. patet rursus rediri ad aqua–
- X + 2 Saeesas n + 3 san X, + 3aC X + 3saf X + 3an X, + psacius apepsan,
- Y ah + aesap
- dax + aC ⊓ Sean XE X2+ a pX2 + ahX + aq. Unde cubando:
- aX + 3deX + 3a X + a C an X + af X + a p X +ahF +aq. sed hoc nihilest.
- X + ex + af S an + sap. Uende quadundo: N + 2CX _ Sapit sap +
- +et. Freus a (t
- a b + Hac + sad +
- 63 + 3b fac + 3b ac
- ) conferatur cum X+ a l X+ m0.
- Unde quadrando:
- seu cum, X4 + nX v X + al X + atm p0.
- fiei: me 2e. f5 ra
- h+ tac + Sad t sae 1 as a sag. Unde Tubundo
- + a sac
- F 36 Sadtrae 16b sacd + ac sae)
- had+ sraee
- +3tae ad
- . atae
- (+ ad Sad + sae)
- is quibus
- tione cubicam, quicquid etiam agamus.
- Ket X + Sae + saf + san sO asi tara .. Unde subando:
- +ae saeriat + 3ae san + Szaet sas an + an Van
- XEL LCX + 2afX
- + ac ael
- d’ael + aEl tine at
- ag + a cb
- d. 9 b.
- 9b sadrae p) otace ad e t
- N - 6b rac ....
- situltm fars r sac s aet tus per 6 + 3b ta + 3bac + ac tac cum supe qui quidagus termi au aliqpuis sendat
- ad Cabum, non video quid his agi possit.
- 1+8 1+ 18, (3) 5
- =a sag
- 1+ 318 +38 + 1818 (, 25 + 158)
- (b +a rag p f sag
- differcatia inter quadrat partium binomii dati, aequatur cubo ex
- cp avad
- et 25 2 + ag (a) a
- 2bDCa2
- ad +16adC +64dc6 sin ae 7 a (1 da C 9 76 d a
- adeoque a - de 9b c0b
- Non video quid hini possit duci. hac H
- cra t.
- het aebrac vae f3 + 95 sa unde C f+ fag - a b,,
- diffeculia quadrutotum paptium rajdis ego: +ab. + La d p 4 cub a T 1 eg Hag rag
- ab + ad ,, +S +sfC tad
- e
- Mitipem p X + nX
- d’A2 + 2adg,
- taC.... +
Cite
Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 106v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0212?run=74