Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 111v
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: 0.75.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 112r); this page is its left half.
The machine reads it as
- Oidendum esst an radice cubica acedente aliquid fieri possit constat si bC4. c L b + bc multi-
- plicentur per b -c fieri B - c2. Itaque sit:
- aequatio multipluanda per X +hs Abatac
- a3ce
- +2sd sae 15) abracsae
- -a dae
- X s ab ressae X
- +d tae
- + h Seab
- =l 52 ac sae
- -h d’ac sae
- sit jan si sin duce radices cubica unia ex aliqua quantitate, altera ex ejus quadrato
- tunc cubus earum radice cubica ceret Ubiue, quadracum ejus nusquam ine s + By. ejus
- cubus ent .aetey qae sac Py), + 3ae sae ( (197 + tactac y Error 10
- b +c p. 3 + 36c +3bc2 + c3
- b7 4 ct. u+ 7 13. c et L. + 3
- erit 91 3 - . et u 9 - 6 + ergo 69 - + ) H
- Eive. 6r = 5 Y + 1. sive x r - 5 Y + 25
- quod in numeris fieri non potest.
- 4, 36
- binonium iabenire ex radicibus, quae cubice multiplicatae carcant radice cubica, sint nomina
- b+ b c7. fici:
- multphieanda per:
- YX - ssy X
- fiei X _-sse X C sN)X
- sin X +35+7 N X +s’r
- - 139377
- + + 7..
- +s5
- F par
- +Sot
- 13.) abedidu
- sit iam aequatio data Z ah Z + ael po
- +8sV
- + Sxt 7
- + C256
- F So +
- + S3t
- (- + 7 (2514)
- - + 3 73
- 1) a n 2, a a + 3Y at
- a a haer raarer
- _C sap + 3 sap + 4
- E ap sap +
- (X +ab B X + Y. Ergo
- (∞ ab (4 + 2rX + v. et fiet:
- X = fiet r2 ab - 2X -2X X ral
- et repab - 2X - 2X 1X +ab. adeoque
- Sxitab ab 2X- X IXrab +X
- C5 (+ 7s5FD urat
- Fiat Z 7 2 6. fiet X + v su aliX + L B. erit 3s t Z e v h. punendo ses p va ves fiet n A ar
- fiet xco +Zppha.. et + 7 r vta. et collatis terminis ultimis, fiet: Co N- N h a val N
- sibe S - 27 a l a 5e + 27, 27a 12
- adeoque sch = 27 a1
- 1 27, 27 ao l + 4c 27, +, at2
- 1f27, 27 a 13.54 h2a
- adeoque s⊓1 B =Sia 1 h a3 + 47 a.
- co s02
- sed calculum cum tanti sit momenti, explicatis jam literis resumere operae pretium erit
- Nempe
- = c0 e
- +aha.
- co2 +
- alti
- + o ox
- (sit jam aequatio data Z3 X abiZ +ael B
- or fiet Xa X ah Xa + ael 5 et musti-
- plicata aequatione per fiet. X X Nh X +,0. quam
- aequationem conferendo priori - X NH X + cor
- habebimus aequationem collatitiam unicam
- nempe
- NN7
- ati. adeoque
- 03
- 7294 4, 27 a h
- Ubi ad determinationem scipionis Ferrei nihil tale suspi-
- cantes redivimus. Videamus an liceat evitare,
- 2740
- 17a6 = a4, scilicet
- er diveundo: XL n mra 216 n. adcom S2 27 al 7 cos
- altera aequationis paus residua: m co A6
- 15 27a0
- N Cos
- ut i inie.
- 17a a sive fiet:
- adeoque 729 a
- + a
- Me -rampa rH 27a h3
- Adesque M a + a
- ab rratetae
- hd sae 16) ab + ac vac
- Muctipuletur per
- in
- aelioa
- +o hcoo
- = cose at
- nati
- Nh X
Cite
Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 111v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0222?run=74