Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 229r
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. 230v); this page is its right half.
The machine reads it as
- a ta B H. (5) 25a + Y 968F side LB H p + exemplum est scholeni in Additamento ad
- Commentarius in Cartesium. Vocemus S3) 25 +0968, D P b. fiet. a s8 ) b - a. sine 87, b=- 2ba +a
- Aiplicationem non per b. sed per B multiplicemus, fiet: 7 a b b -a 2ba. itaque ex prma a
- (2 1 b - 7a b 1 b+ - 2b a et pro b poncndo ejus intorem: 25 + 196, fiet.
- + 7, 25 a + 7a ( 968 1 43 a b + 2, 25a b + 2a 1968 b, sive bp (112 + 1a 968
- jam utrumque hujus aequationis latus cubando f debet, destini radio 96s. 99a + 2aY968
- + 4 .. . . . + 4.......
- 25a +a 1968H 25’ a + 11 a 968 1968 + 3, 27. 1 a 1968 + 3, 275 1 d968
- Quod si non cules ob b. sed quadres ob 1968. nihilominus tamen taemtaemen si habebis
- non tantum b. sed et B2. quod a ut tollas, et solum residuum habeas b rursus veuies ad B
- seu ad V968. itaque si uuna irrationalis
- in ultra simul e extra, incipiendum semper
- Itaque quando radix cubica aequalis est cuidam quadaticae
- et numero, estque ipsa quadiatiea radix in cubica, non poterio (regulanter) Tolli quadratica pesidua
- a tollenda includente regulariter.
- sola (ubica. Nec proinoe sequetur absurdum, quod scilicet ita radio cubica aequetur cuidam
- numero incommensurabile ommensurabili
- la + sca Y SD aed tas ae Unde cubando: b + 3b sca. + 3bca + carca p ad + a rae
- + pZ + agZ + Y n
- et Z H
- d X3 + 3d 2agX + 3da) X agr
- pd... + 2pdaus .. + pag
- + p Dd.. + 2pb dgs.
- agd ... 12 agd b..
- +a90g.. +2a9490.
- Pbag
- ar... +3a rb.. + 3arb. +arb
- ope hujus explicationis fieri potest, ut sit
- be rerim en n ergo f.
- Mapt Fng X + 2o h
- dXt 00
- benim sit aequatio
- IXjt
- 2 + 1. a ec
- ab a mtr -am.am
- Xah + h3
- X + hX
- X3 + (hX + alX
- n. + hn. + nal.
- X3 fB X + a) X + aed
- Ergo h B-n. et alp Bn+ n + a7.
- et de - Bn + n3 + ayn.
- se nE-en + aVn = a rS 0
- Notu si ope tot arbitrariarum fieri possis, ut factus ex secunto et tertro
- termino equetur quarto problema erit planum in
- ductu, vidcamus quomado rulcam. A, nempe 99
- Bat Z + anZe + an t E
- Dividendo utrumque per Z + e. fient aequationes duae, prior:
- posterior.
- allo autem
- + au 32 + aq
- +al + am. + aen
- C3- al e + an e - a n p0.
- + aq
- ar tan ro
- 24 +ac +
- 0pet 2
- b
- =ap h alh) + al
- anhitan (tant)e n. sive e
- sive + aqh
- +al.- am. +a
- 0. tam
- etr + h)
- titoqu s _ e
- agti -aemh - alph + aet
- =am. tan
- ergo ab a
- q+ phaen-at m + a rhaque
- = alphan tastn
- aphan
- am.. +am 1---
- =aghalph +ag a12
- tam ... - am...
- Caerhaemh-aertralph ta rhael
- Halitaena phaetu = anagn + an aemh +an alph - anal
- phanh +ph a imphi
- ph am taghaquh a agh a intr
- + ph- al
- Ut prolixitas calculi evitetur, itile ent generaliter calculos inire, quomod. datis duabus aequationibus
- aillatur incognita, sunto aequationes duae: e + Bpo et C + c 70. fiet Cr - b. - c. et bp C. seu (b -C50
- sint jam aequationes duae: e + bo et e + de + a C,j0. erit e - b. et Cr, - be. fiet - be + ac. et es C -
- adeoque (ac + b - bd 10) sit jam e + de + ac 10. et e +fe + ab po. unde de Faci, fe + ab. seu er, ab = ac e - de - ac
- H. fe. ab. seu ab ac e p de + fde - dac + fac seu epi d ac + fac
- ab - ac at reducend:
- ab - ac + d - fd1
- ut ab abeo a ac n dab u si ai 90t at. sac 10 d i Fatus cntemvi spoqpi egnadei calertus e
Cite
Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 229r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0457?run=74