# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0058 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0058?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 50, page id 834940469:0058 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=58 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000058.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.90 # 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. TMLMOdaFaCIOCHS adTE esmulciplicacaracionis J M act IK; Cedrario CFFadTK eR mulriplicacarationis LM ad TK in caderatione qua numerus OFT el mulriplicatus numeri L. M, quoniam idem est consequens in vrraqs ratione; ee proinde SpaTIUM GTKET es in eade ratione ad spAEIUM LIRM, in qua numerus CFTes mulciplicacus numere L M; 8 ideo (quonia exhypochesi spatium LIKM est logorichmusnumeri LM scie denarii) erit spatium CTK FI logorichmus numeri propolici OHI, quoniam hec est logorichmorum essenrialis proprietas, vesine incer le in eadem directa ratione, in qua corum nu merilune vnus alterius mulciplicari: ac ponitur communi- ter locoriehmus numeri denarii ad arbitrium vnicas cum numero quodam erphracu: Rigitur Aac, vespacIUM LIKM ae sparium CIKHI, ita arbitrarius denarir logorichmus ad a- lium numerum; erit inventus ille numerus, logorictimus nua meri proposiri CFP, quem invenire oporruit. SCHTOL IVM. Raxis predicti problemaris prolixa est de laboriola; de proinde ve abbreviceur latior noster in composirione eabulae logorichmorum; sciendum elnos Coluimodo labora- re in inventione legorichimorum, numerorum primorum; numerorum enim compoluorum lasorichmi ex primorunr aditione de subductione nullonerorio inveniuneur. Ced ve numerorum primmorum logorictimi Facilius invenianeur, Or- dine progrediendum est d prioribus ad polteriores, nempe 2 20 cuius locorichmus est arbicrarius ad 2 numerei omni- um primu, de a 10_ 2 ad 3, icem 2 10, 2 e 3 ad7, icem a 10, 2. 2_7 ad FF, d hC deinceps. déinde inveniendi lune duo numeri compolici parum incer se differentes, quorum vnus compolicus est exnumeris logorihimos cognicostabenri- bus, e ided losoriehmum dacum habens, alter aurem nu- merus compolitus est ex Tolo numero primo (cuius quaerieur logorichmus) vel ex illovnacum aliis numeris logorich. moscoenieoshabentibus. deinde applicecur hinumeri com- DOlIEI