# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0100 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0100?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 16, page id 834940469:0100 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=100 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000100.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 23 lines, status machine # Lines: 23 recognised, mean confidence 0.86 # 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. 16 quancitates mognieudine se graricare analogas; mixrit. neum enim R V Z 52 D magnieudine se pravirace analogum eAeori superkciei cylindrici rectir de mixcilincum RV YBP maenieudine de gravicace analogum e Cuverliciei erunci inferiorisi de ideo (quod superest) mincilineum D BYV Y 32D analogum est relicta supertciei rrunci Cuperiorisp quod _c. Huius propositionis diversi sune casus, sed in omnibus eodemmodo rerificari porest pracedens conclulio. e R O P. 5. Z EI FO R F M A. D rectam A F ducanEUF duX CUErA AF, AD, de rectX AF sc perpendicularis recta FD curras lecans in punctis F, D, ducanturque rectae CE, CD, currastansenteSi Dicorectas LC, DC, non esse parallellaS: line (A heri Po- CcA) Paralselae, se ducatur recta ABparallela d aequalis re etx E. D: deinde per puncta B, D, ducarur curra congruens CUrVA A F, E modo punctum A superponarur puncto B de puncum E puncto D: manifectum est curram BD secarc cur ram BD, icem e rectam C D parallelam rectae C: F: cansere Curram AD; acque CD ex suppohtionC FaNOIE qUOqUECUF- nam B D, quod cA absurdum, quoniam curra AD, B I, (C imaI.