# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1047377675:0150 # Permalink to this reading: https://leibnizlegible.com/page/1047377675:0150?run=74 # Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a) # Folio 134, page id 1047377675:0150 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=150 # Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000150.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.90 # 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. E34 lecur lasicrass densior eradet haec sytrula dt versus me- dium et versus extremientes, sed semper quo magis accedi; cur ad C erit denlior et quo minus rarior. Eodem modo natura radiis lucidis conatur punctum geomerricum C at cinsere, (c d ob uam imbecillicarem seu oculi imperfectio- nem cogitur a Scopo Cxpissime aherrare, hoc tamen sicuE Pericus inculacor evincens, ve radiorum (ytrula quo magis accedicur ad medium eo sic denlior, de quo minus co (Era= rior: manifectum eciam est quo plures suneradiis radiorum Cylrulam eo esse densiorem, ita eamen ue semper denlor (IE versusmedium quam versus exrremicates. Hlinc colligimus si punctum radians A debilicer radiee, ica ve rix percipiacur a lenlo densior leu media pars sytrulae C. reliquas sytrula parces rariores ee minus illustratas non omnino percipi: quod aforrior sc radiacio, rariores etiam sylvulxe partes nempe P e P perceptibiles deveniene, quoniam illustraneur senlibilicer ex suppolitione: quod si forcissima sic radiario, rarissima eriam de exrimae parces nempe B, D, Censibiles Rene ita ve generalicer diciponie, quo torcior lic radiacio eo ma, iorem opparere Censui communi lyrulam radiorum, (eu paF riculam retinae ab unius puncti radiis depictum. PRODOSTTIC 3 Duo lucidius est objectum, eo confutor est ejus viste. Volucidius est obiectum, eo forrior Aeradiario rnius eius puncti radiancis nempe A; de quo Forcior fuerit rausacio, eo maior apparer sensui communi parsrecinae ara diis puncti A illustraro, per huius 2; & proinde per2 pecicio nem maior apparet ritionis confulio: cumque hoc eodem modo demonstrari possie de omnibus obiecti punctis, mans- Fectum est propolicum. Guod (i pars recinae ab unius puncti radius illustraca sic minimum sentibiles distinctissime ridecur Ohic-