# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1047377675:0079 # Permalink to this reading: https://leibnizlegible.com/page/1047377675:0079?run=74 # Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a) # Folio 63, page id 1047377675:0079 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=79 # Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000079.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 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. edem sine siguex ee praeparatio quae in anrecedentes L hoc Tolum excepto, quod D, IE, punSta, nunC SUPPOnE cur elle centra gravicaris perimetrorum hgurarum. Dicora. cionem superticiei Colidi orri ex Agura A B C rOEAEA CirCA re- etam F C ad superticiem solidi orti ex hgura MIL. FOEaTa CIE. Ca rectam MO, componi ex ratione perimetri ABC ad peri- meerum FTIL. _ exratione DF adK N. Super AgurIS ABC, FTIL, incelligantur cylindrici recti aequialeis lecti a planis eranscuntibus per FC, MO, rectas, rnusquisque in duos cruneos, nempe luperiorem de inferiorem. Ratio luxertciei Tolidi ex AB C orti ad superticiem Colidi ex HTI L. orci, com. vonitur ex racione superticiei erunci inferioris erlindrici Super ABC ad supertciem erunci interioris cylindrici super HIIL, de exratione radii rocacionis Agura AB C ad radium rocationis figurae HIIL; Eed superticies trunci inferioris cy lindrici super AB C es ad superticiem erunci inferioris cy. lindrici luperETIL in racione compolica, exracione (uperti. cicierunci inferioris crlindrici (uper ABC ad coram luperti. ciem crlindrici super ABC, ex racione corius superticiei cy. lindrici super ABC ad tocam superficiem crlindrici super II TL e exratione eorius superticiei cxlindrici superFELL ad Tuperficiem crunci sui inferioris: ed superficies trunci inte. rioris cplindrici super AB C est ad cocam superticiem cytin- drici re FD ad rocacionis radium Figure ABC ex consectario huius 3o converrendo, ee superticies crlindrici super ABC es ad superticiem cylindrici super HIILs reperimeter ABC ad perimeerum HIIL, icem superticies cxlindrici luper HIII Ck ad superticiem sui erunci inferioris re radius rocacionis EigureHIIL. adK N; ec proinderacio superficici erunci inte- rioris cylindrici super ABC ad superticiem crunci inferioris Cxlinorici superHIE componitur, ex ratione rect E D Fad ra dium roracionis fisure ABC, ex ratione perimerri ABC. ad Perimerrum FTIL de ex ratione radiirocationis figure FIIL ad rectam H. M; et ideoratio superlisiei solidi orei exrocarione id t A ut s sut 3Bta d id eio 0 X C IiS 1d e AH ril Ed AE uit M