# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068126:0126 # Permalink to this reading: https://leibnizlegible.com/page/00068126:0126?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 2 # Folio 63v, page id 00068126:0126 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 62r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068126&page=126 # Source image: https://digitale-sammlungen.gwlb.de/content/00068126/jpgs/default/00000126.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.92 # 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. (et c.) sit duplicata vel triplitata rationis quamatis alius accessum vel recessum habet ad circula tronem fibi edexistentem, erit logarithiur ordinatae a hriou mobilis loco in arem duitae dupus vel priplus logarit hont ordinatae a posteriorimobilis loco in axem duitae. Rationes scilicet accipio hoc loco tanquam numonos qua toties contineant unitatem quoties audeu aptece dens rationis continet consequors. Et dupla vel tripla set ratiosit duplo vel triple facto autecedente vel aut fertiato consequente. dividiate antlantiatoque feguente sed duplicatam vel friplica tam voco ratiionem cajus eu duplus vel friptus est logerite logarith my, seu quae est ut quadratum vel cubus prioris hoc est quae estinter quatrata aut urbos terminorum prionis. Similiter eam (23tio) in ellipsi rationas velocitatum in orbita ad coexistentes veloc sunt intet tates circulanti circa a alterutrum focorura, ut mediae propontionata inter distantias mobilis afocci utfratet 18 et sromie, in motibus planetarum ellipticis, si una ratio inter velocitatem planctae in suu orbita, et velocitatim qua accedit soli aut ab eo recedit sit alterits hujusmo mode nationis duplicata vel triplicata (etc) et et summa ex loguritimii distantiarum mobilis a focis insr oupla vel tripta(ete summae simelisosteriore casu Res tat uL prion casu seharm itanno ibaotodoum mobum in ellipsisceundum radios cafocis duitos, cum motusccundum anem ejus paralletas, seusccundum abscissarsut antea cum ordinatis seu ani tranverso 24 parallelis) comparemus. Cst autem () Rrad veut latque rectum (quod nos ostendimus esse aequ. X W) ad tb latus transvessum seu axem majorem ut ab aliis jam ostensum est. Jam (25t0) Sbc aequ a V- R