# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0086 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0086?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 64, page id 175905688X:0086 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=86 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000086.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 recognised, mean confidence 0.79 # 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. 64 G E O M E Y R I A commune, esle cognitum, quaero AMI per eria puncta G, C, _FI, ratione modo explicata; nimirum lumen- dok pro differencia, guae estinteF CHI _ HIM, RG prO ca, gux est inter GC _ CTMI. Vndecum AC est pri ma pars Oralis primi generis, inrenio Se + dk DEO AM. Deinde quaero Ctiam MI Y per eria punctaF, C, _FI, ica ut C Y Sic prima pars Oralis certii generis; lumendo- GuCy PFOMIY, _ fpro differentia, quae estinEeF C F _ FM, habebo f L y pro ca, qua est inCeF C F _F Y. hinc cum habeam k pro illa, quae cst inECF C HI_HIHI, habebok. L y pro ea, qua estincer CTI_ TIY, quam (cio esse debere ad f. Fy, Sicut e ad d, propter Ovalem certii generis. unde invenio y seu MZ cNC Se =dk ita ut addendo simul guantitates inVeNEaS PEO A MI _ MZ, habeam Se + se PEOLOTA A Y. P quibus manite. cum Aic, quod, ad quamcunque partem punctum FI suppolicum fuerie, dicta linca A Y semper compolica lic ex quancicare aliqua, qua lic ad difterentiam, qua CC _ C F simul sumpex superant CTF, ut este minor duarum lincarum, qua dimetiendis retractionibus vi- eri propolici inserriume, ad d - e difterentiam, qua ma- jor minorem excedic. Quod quidem latis scitum cAt Theorema. Postquam isitur sic inventa est tota linca AY, sC- Canda est ipla juxta rationem, quam inter se servare de- bCnE ejuS PaxLCS A M _ MIY: quibus mediantibus. (quia jam habetur punctum M) invenientur quoque puncta Ae Y; _ per consequens punctum FI, PeF PFO- blema praecedens. Verum considerandum cAt prius, num linea AMlsicinvenca, sic major quam an mi- MOE, an vero ips xequalis. Nam A Major Tueric, cogno sCitur alle il i II2 Bes dll modo emn e 1 NC le, Pere CaluI d