# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0093 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0093?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 9, page id 834940469:0093 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=93 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000093.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 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. diculari ex puncto o in rectam es, nimirum 03: manitectum ek mixcilineum sit e st a P ene aequale superficicierunci, quoniam inclinacio plani secantis lupponitur esle angulus Temirectus: noltrum ergo est demonstrare aequalicatem mix- eilinEOrUM RSTVS23 YZ ∞ ZS) aP: primonoshaneaequali- earem demonstrabimus in poltremis ticuris, ubi supponimus Curvam R V in ProsreNu ab R ad V rectam 28 sempermaSIS appropinquare, ee eciam currum 7 D in prooressu a 7 ddI ad eandem rectam magis appropinquare; ec idco curra iEst in prooressu a H ad se co masis appropinqUAE reCtAM F A P vi quoniam eodem modo appropinquat curra Est rectam R A. quo7 Drectam 28. Si praedicta mixtilinea non lune aequa- lias lc incer illa a differencia: de mixcilineum R V d2 diuida- cur a torrectis recta R2 parallelsis, nempe 53, YA, VS, R2, ee ab earum cum cuera incersectionibus R, S3 T, V, verinque ductis ad parallelas proximas perpendicularibus RS, S7, Sa, ID, Tu, Vn hanc duo rectilinca, nem pe RES N I u d2 CRITa mincilineum e vSDTnV d2 ineramixtilineum, quorum dif- Ferencia lic minor quam a, cridens enim esthoctieri posse. PrOdUCaNEUEFCCtXS3, TA, UE VErASQUE CUrVASPHI, = B inter Secene in punecis N, L, 9r C. d iunsantur parallellae, rect 28; PZ, NC, NE, LN3 L.C, HII3 areceis mixcilincum dividen. eibus terminsea. Deinde dinidaeur receangulum B A2rC- eriss reccae x a parallelis, B Z, X8, ne, ∞L, in recranguli B Z dQuale mixtilineo PN3 2, receanousum H aequale mixcilineo NL. 43, de receansulum ne a a quale mixrilineo L. II54: de ab incerscerionibus reccarum rectangulum Ba di- videncium cum curra itSC, nem DC k, 923 73 St, AUCANEUE PeF. pendiculares verinque in diridences proximas, nempe it sAg o, B 268, S2D, ICa HE F Q W H pSt A P hac reccilineum inera mixcilineum, de st or 12 7 58∞ R Aac reccilineum ei dem mixcilinco circum scripeum. Paret ex ancecedence P 2 eNe ad X seu D P, uER2 2d72 Peu sit P, de permutando ur PZ ad R2 iEA BP Ad it R; et id eo ut P3 ad R3 ICA B Z a d 2; se c