# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068099:0013 # Permalink to this reading: https://leibnizlegible.com/page/00068099:0013?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 4 # Folio 7r, page id 00068099:0013 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 6v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068099&page=13 # Source image: https://digitale-sammlungen.gwlb.de/content/00068099/jpgs/default/00000013.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 77 lines, status machine # Lines: 77 recognised, mean confidence 0.69 # 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. m N + ap B + rpa C + SB2+ ntaβ birevius emrintiundo p, erit PB +gEm +baha a (t B1s4 nsac ppema ebhu qus appret prota ta mB +p (FD S aEm +b ah - aβh F B 1B a + raB + lB2 F na B F coll. 3. r. s. c. b Sed jam video quia in quatuor aequationes collatitias 5. 6. 7. 8. non nisi totidem incognitae ingrediuntur, ex illis solis per aliquam enasci posse aliquam impossibilitatem qu fucstraque caeteras misceri, itaque e resumamus, ex aequationes erit ut ante b, 2r + 2β- e. E aqoatiie b, entaitas Bar ( 8 r - 4re. (a( aest e, - ( (+ esrae pr (1 eaequatine Yfiet. sive se - are +e β + 4aE - 4 βY Ex aequatione 7. (8Y) (+r B areb e. H2 ad re rera BY H utiA Y here opee Care a sape t e f al see Et multiplicatis omnibus per 8. fiet: - =β + 11 re - BYB - 4r - + βr, 2r e +24rBe 46( e - 10ssC p . ( e 1B - 4a 3 +0=q C 1a e -apr or ee eeste te 3i a 3re nre + 32, 20re +8d3E 4e2 eta a aae tar cte rip.. ieaa a eta Ordinundo et in ultiplicando omnia 1326. (16B per 32 fiet: a) =92, 17 (β C + 32, 4βY - CaeY + 37 1(Y + 32, 14 C + 3β o +8,4, a.. et dea , 1ure sesta 132,28B.. + 2a.. G2.. +8. βa n =, 4, 1, Ba. + 8, 12aβ. bre BCβ 32reaE) eβr, + e X BCB aE ualin adessr t 182-8- 2d 4r a dr PaE Lare a E ( ap a r - 4 βe AE ( e ad, ( B a 2). Unde posdestuctines 16 roe gea ordinando; et explcundor Fire anror +18 +qu.. 6Ec a yβ 4482 4xV +2 1044 5 eq In quam alaque Y et C. et utaque hoc mognita tolletur pecat aequatio . B 81Y 13B4a pai data jungsatur factae ex otna data aβCL aiquatio haec facta Ex +C +BtB. 8vse (1a 1, 1BC . na e + Sa C vil ra +256B.. 12gaB.. + 28. Sista +1 +64()a. 1256(4 256B 1024B a. (1624, _ 164) ex. 4 + 276 12464 er ri 10-3 60- 3 8