# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068030:0008 # Permalink to this reading: https://leibnizlegible.com/page/00068030:0008?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 12 # Folio 4v, page id 00068030:0008 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 3r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068030&page=8 # Source image: https://digitale-sammlungen.gwlb.de/content/00068030/jpgs/default/00000008.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.89 # 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. Mtrahman tundem conmeritus vucor pro linta aequationius sempr describenda ope cupo logarsitenis uno potius superficieu lorarithnicae cotindricae. Nimium sit aequalio X +pX By st AB,X cuscunque, BCp ejus loganthmo. CE est curvaloganthimi ea H Dec logaritomi triplo. AF, hubero logunthum Tripliisen cubo seu erit AF, A rebunt sclicet Angutus BC talis esse esse A scilicet debet semper cd sibi paralletaata pro gredi t es tutio sit esse locata ut sic DH hiplao BC. ex puncto tautem qo regue isi DE paralletor ipsi AH. gerens in DE perpendicntanter n ex E da ut semper determdinetur AF X sit in 2da figura rusus HB X et (8) ejus logue authmus sed sid () sit dupla BC non ut ante srupta. e (DG loganthmus cipsius P. erit semper constans erit (H)G log vel ((E) log. a PX et A(F) eni pX ponatur jam (() ipso facto sive ipso motu addi ipsi AF quod dupliciter fieri votest vel portendo effredendo, ut pnctim (A) incidat in punctum F fyma superioris dum unum alteum portat ac reportat et ita etiam ipsi () mobiti, alia logarihk mica erit annexa vel si volumus (), (C), 8) esse in rectum de cd (D) esse unica tantum e ut et curom logarithincto (g C EE), etficiendu, ut AF) transferatur in F eu addatur ad AF video portatione non procedere, quia portaretur BC, obC, portatum. Ergo Et Parva opus esset connex core Tciente ut eadem semper sit AB. vel etam sila res fiet, sit angulus MAF groduum 45. Eiit FM H AF, addendo optrum foret ambas AF addi in B2 et (N() AIF) addetir (C) (W) ad FM oue parillelogramim mobilis de centiu assecopitur FtA a recta AM, it () et (B) centra propelli possunt ita MF serper marebit recta data movo ltas inst suat et monider et AM quoq e unde marebit semper parelo pamntiu. Erdem modo connerretur tertia F, ut ipsi M secunda et ita porro connecto termini inter se. 3 omnes negalivi Connecti poterunt omnes affirmativi retro compulando seu incipiendi a novisimo affirmaribo. Sed observandum ut lllum terminus aequationis sit unt affirmativa quantitas, semper fieri polest supe pora possumus facere sit sumum terminum negation) et ita unqua affirmata proeoplebunt negatis, nec unquam cis AF versus C excurretur. Illud habebit conmodi hoc instrumentam ut etiaga irrationates simplotes ipsius X valores tractari possuit non sublata rrahonatitale, ut 3X + pVx F H D