# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068073:0042 # Permalink to this reading: https://leibnizlegible.com/page/00068073:0042?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1 # Folio 21v, page id 00068073:0042 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 20r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=42 # Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000042.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 66 lines, status machine # Lines: 66 recognised, mean confidence 0.82 # 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. si quia nom nihil aluplius explicade licet aliaqui indeterminata laberetus Otiam via videre licet an exstationalibus fierii possint inationales datae. Nempe si .addamus inter se plure at bX + C C X 1BX + + 1. dx 1 co ax Xe ponendo imationalem videndum an inde oriri use aequatio data. Sed jam inulilem esse additionem plurum rationalium cum olnnes reduci possint ad unam. Nam scribamus: a + bx + CX + dx etc. dx B eo ax: 1 + mx +nx 4 soxhele et pro x sumende assumendo aequationem novam quamlibet. inter X. V. e (quia eo frustra assumitur eum statum cirimnari possit pess in deamquean inde prodire possit aequatio data ponendo dy 11. sed hoc distinctius examinanda. Interi Considerandum posse adhibendo armaginarias, fae ad huc ampliora praestari, ut. si ascribamus bx + CX S-1 e modo postea aliam aequationem ad hibeamus in ua sit. bX CX F-1 quanquam aliquando ne id quodem necesse sit ut videmus in cetu radic. aequ. Cub. esse modia ex primendi veram quantitatem per unam imaginaram q es Notandum hanc met hodum utiliter adhiberi ad revocanda omnes rationales siquide d commode licet ad Circul. et Hypero. Nota ndum et cop Ergo a 1b+2 a scribendo a BC. fiet: C01Dvb. unde fiet: momentum aliud 90 b aliud X +c dob -C+X quorum summa simul C A dabs summom co. jamalinde ad rationales reduci postest possunt alia hud modi seu habetur cor du habetur et tdeo. Hinc binis modis haberi potest summa figurae en dictis. Hinc ipsa dicta et altentili solum. dum et semper ultra purgi potest ut si sit IX+1Z Hinc faciendo X1Z. fiet: V e unde rursus assurgi potest: per momenta Sy2 +1, 2Z dZ F 1 vel aequationes. S. +1 2 a dt saciendo: +1, EZ du unde novae rursus 1 per constantes Ergo cubiliariae prius atiae Jannar. 1680 ordinatae ad co addendae erant. Aliu rationales ut ex et pro poss.