# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0385 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0385?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 192r, page id 00068200:0385 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 193v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=385 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000385.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 93 lines, status machine # Lines: 93 recognised, mean confidence 0.81 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. evitemus, ponemus ) 70 et cumdata sit: W 7 s Z, habebimus: eritque aequaliofachtia, WV Aa4 L a + W V) a 5 151 a 0 a 5025 a Q2 (V7, 15 0 +54 523 s++ et quoniam desideramus in utraque aequatione pro incognita ipsam Z habente, factitia pariter et data, terminum 3tium esse eundem, erit eritque aequatio data: X a2 tiones collatitias duas fier 2 eso sive 4 Est autem cum sit a 5 193143 ac proinde Q p, B a 4 775 Q~ - 8W a f ar n Ja, a 2 vel N , s. 74 +a3Z sea et 6a4514 , ac reducendo: + unde patet porro esse a 31+34 5 Unde habemus Aequa, 3 FI et dap, +2 Ergo ex popteriore 63 et explicando vel E16 6- 15 +628 13: et ponendo Y. videbimus jam an aliquid liceat assumere pro arbitrio, ac ponamus si placet 8 11 0 fiet f4 S ⊓ et explicando 0, fiet: 8e a + 47 In hac ergo. prop aequatione -4+26 +682 +Y a 63n sive 2ts +5F 76n patet omnes includi aequationes determinatrices datas, sed matum in eo esse, quod T plane evanuit, quod verendum est, ne posolutionem reddat indeterminatamo e cuilibet problemati convenientem, quod tamen videtur esse impossibile. Imo sciendum est, inventa O, utique dari et 4 per aT, et ope 2 inventae deri Y vel etiam sine. At _ vel ope 2, ac proinde per 4 vel etiam simpliciter per 6, sine + interveniente, inveniri posse, at ut dixi 4 sine interveniente non haberi. Ponamus ergo Videamus ergo quid liceat assumere pro arbitrio, ac ponamus si placet Z10. fiet Sat 51 4 174 I (2 5, et explicando 5a fiet. 8Wast f 4r n2 (75a = +C. N M 22 vel 13 34 sva + +r spa Sumtaque pro arbitrio, velut cognita, fiet a nondum ad istam assumtionem arbitrariam provolandum est 5 a 1a, va f+p nam (N sunta proarbitrio etiam 2 et 0 S valde enim mirum videtur eatdem semper provenire, qualemcunque ponas H. sunt enim duae in summa aequationes collatitiae ergo duae etiam inde terminatae sint necesse est, saltem regulariter: idque fiet, si nunc explicemus etiam , uti S explicuimus. Est autem DH () 8 10 et quia 6F, C+ 3 a 5735 16573 C2B n 23, exa 4o n ars TII asi quae aequatio praecise eadem est cum prire, nec inde quicquam determinatur. Veniemus ergo 6a 10 ponendo sive de constructione aequationum solidarum universali