# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0017 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0017?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 9, page id 834940469:0017 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=17 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000017.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.91 # 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. reneues lerel hyperbola ducantur ecentro etus perimettum duae rectae, appellams pla- num ads leccis de perimerri lesmento compre hensum, lectorem sieee Si perimerri segmencum incer illas rectas comprehensum a rectis quorcum que lubendatur, ita reeriangula rectili- nea (quorum communis verrex est sectionis centrum de balesrece lubcendenees) Cincequalia; vocomusrectilineu illud eb iltistriangutis contlatum, polygonum regulare inleipeu. (i lectio conica Fuerir circulus vel elliplisi quod Rfuerichr perbola, vocamus illudrectilineum Bolygo- num regulare circumleripeum.c O Siperimeeri segmencum incor illas rectas comprehensum a rectis quorcunquecansacur ee a ractibus ad sectionis cenrum ducantur recta; si inquam omnia crapexia. a rongentibus pronimis s rectis ad centrum coprehentas Fuerinc aequalia; appello rectilineum ab illis contlarum polrconum resulare circumscripeum, E sectio conica Sic ellipsis velciculus, ee polrsonum regulare inseripeurs Situerie hyperbola. Si omnes anguli(excepto illo ad sectionis cenerum) p. ly- soni regularis i subcendencibus comprehensiinlistare omnibus concanctum punctis polrooniregularis a can Beribus comprehensi, appellohec volvgona complicatt. Ouancicarem dicimus a quanricacibus esse compolicam cum a quancieacum addicione. lubductione, mulciplicatia ne, divisione, radicum extractione, vel quacunque alia imasinabili operarione, AEalta quaHEICAS. 6 Quando quancias componitur ex quancicacum addicto ne, subductione, muleiplicacione, divitione, radieum excractione; dicimus illam componi anaireicé. Guando quancitares a quanricatibus inter se commen (u. rabilibus analycice componi possune, dicimus illas estes incer (C AB a l5L1Cd5.. Si