# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1047377675:0148 # Permalink to this reading: https://leibnizlegible.com/page/1047377675:0148?run=74 # Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a) # Folio 132, page id 1047377675:0148 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=148 # Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000148.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 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. L32 EM cerciam de PH seu C H quartam; _ ideo summa primae e quarca AFIPNest aequalis summa secundae de tertix BX F MC, quod demonstrandum erat. Alii sune huius cheoremaris casus, sed in reliquis nulla reltat difficuleas, modo hic incellisaeur. Hoc theorema interuit coonitioni aequationis cubicae de quadracoquadraticaes praecedens aurem aequarionibus am Phibologiis, ec linvum compolicioni; qui aucem deliderae plenam angirleos _ aequationum doctrinam, expectet ab. Lolucissimum D. Caroli Renaldinii opus de Resolurione d Compolicione Machematico, quod nunc est sub praelo. Tluculque concinuarimus speculariones pure seomerri- casire aucem videane phitolophi seomecriani non essendeo abstroctam de inueilem sicuc ruloo exictimatur, scaruimus difticuleares qualdam phliscomachemacieas ex principiis opcicis geomecrice enodare. DE SIDEEFM SCTXTILLATIONE ex magnitudine apparente. XOpica nosra promora eridens est primo, omnem riu lionis confulionem provenire ex radiorum rnius pun- etis in recinae sensibilem parciculam incidencia; secundos quo maiortueric iltarecina particula eo maiorem esse villo- nis contutionem. PRODOSITIO 2. Oculus humanus non potest esse Cermerrice perfcctus. Ir punctum aliquod radians A; s oculus humanus esset Bcomerrice perfectus, congrezaret omnes radios pun Ctrradiancis A in pupillam incidences in vnum recinet pur- ctum geomerticum nempe C: ut durem hoc ACreE; OpOr- CCTEE rE oculus eReL figurx alicuius geomerricae, sed A3 SUIFX