# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0569 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0569?run=74 # Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65) # Folio 83, page id 79876922X:0569 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=569 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000569.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.81 # 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. lani. Cyper. cieibi. Ulum ed; t ISHI MIEM Dlon. i ibi dDta da. AUI. UaB. SII ulis erti Gu aHII cetta U, lI. pesa Desta um IOn. Oties NON. Pesta Certa 1610 SAPTENTIA DNVINA. diculi, ut vices: Hlocce calu vero, nempe M perticiali, superficies ut Numerus probali sub- stituitur; a linea, ut vices, perpendieutum sup Deditat. Vrrumque tamen etiam opposité d ex adverso porest concipi. S. _1. Si batis major est autminor perpen. diculo; tunc utrobigue subs eodem mecro, licut perpendiculum, ita de balis, vel in inettabiles e minimas, vel in effabiles d detinitas nobis, par. ces aliquotas incerstinsvi porest. Hoc poste- riore calu, quoc ejusmodi parciculae in perven diculo, se quot in Bati, concineneur; toties toc partibus quactratis tatibus Productum constat. quod aquacur Parallelogrammo, quod à tocis constituntur. Sed in priori catu, minimis par- ciculis suppositis, praesertim ibi linex sunt in- commenturabiles (ue nulla sic mensura nobis detinica. qua utramque in aeguales parres in ter se exacte dividat, sed gux caneum per no- bis ineltabile mensuram minimarum partium ubig; muridi aliquotam rationem subeent com munem;) tunic non mimis per Productionem Acq; Per Fancuplicatione certa copia sert certus numero quadratulorum intinita parvitatis pro- dic; sed haec copia nobis, (qui omnia finita racione detinimus) inestabilis directé d per se est. Per redluctionem aurem lapius, vel primo vel ulteriori sractu pocectatum, vel purarum vet mixtarum, redditur effabilis. Ouosgradus ex Fuclice laxacissimusr eplerusintlarmonica ce Ccribit. Sum