# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0096 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0096?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 12, page id 834940469:0096 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=96 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000096.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.92 # 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. Ecd excelsus mixtilinei maioris Xt o s D _ supra mixrilii neum minusRSTVs=s est minor dicco excelsu recrilineo rum, quoniam mixcilincum maius esminus recrilineo ma- iore d mixtilineum minus est maius rectilinco minore; et ideo excessus mixcilinei maioris supra minus minor est di etis receangulis simul subloco excelsu reccilinei RESATuSE supra reccilineum Z Z 68_ R; scd dicra recrangula simul exhypocheli, minora lune quam a; de ideo dictare- crangula simul sublaco diceo excelsu muleo minora lunE quam a; e proinde mixrilincum maius excedie minus mul- cominore excelsu quam as quod cst absurdum, ponitur enim a excessus mixrilincimaioris supra minus; non elcergomix- cilineum rZ o Z st a R maius mixcilineo RSTVSZ, Ced de. monstracum est eriam nec ene minus; (une isitur mixcilinea it or Z S A~, RSTVS2, incer sC aequalia, quod demonstran- dum erae. Sune eriam alii huius cheoremaris catus, quibus omnibus porest applicari haec secunda demonstrario; volui eameM priorem criam adhibere, quoniam mihi apparee simplicior criamsi non sic generalis; lectorem tamen admoneo illam priorem posse adhibere in casu maxime ordinario, nempeim figuris prioribus, reliquis manencibus dum curra RV in progrelsu ab R ad V masis a recta 2 d clongaeur. ee superticiem crunci esse quancicares magnicudine de gravi. eare analosas, quoniam eadem aequaliras quae demonttra- cur in inceoris, codéeciam modo demonstracur in parcibus eorum proporcionalibus; e id eo carum cenrra aequilibrii eo. dem modo dividune rectam d2. Non existimo opus esse Lectorem admonere, quod data hacrna trunci superticies dentur omnes alix, quorum plana secancia, balem (si opus est) producte in eadem recta secant, cales enim cruncorum superticies incer se lune ut carum al- cicudines, vel ur cansencesinclinacionum planorum secan- ciur