# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0059 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0059?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 51, page id 834940469:0059 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=59 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000059.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 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. pouri(qui exepli sraria lintGFI, FF.) inhiyperbola asympro- e0 OA Parallelli; ee inveniatur spacium hyperbolicum F. CHIF per huius 32, quod brevirer. fir quoniam GII. FF varum inter se difterune. ex seposirione, rniusnumeriexem pligraria CHI, dacur logorichmus, de proinde datur eius logorichmi ratio ad logorichmum denarii arbirrarium, que eadem est ( exhrccenus demonstraris ) cum ratione lparii hyperbolici GIKII ad sparium hyverbolicum LIKM . dacur aurem exhuius 32 spacium L IKM; X ideo innore- seic quoque sparium IKHIC, cumque decur lpatium P C HIF, innocelcit quoque FIKF; e proinde datur logori- thmusnumeri compoluti P Fs cumque ex luppositione den- tur logorichmi omnium numerorum numerum E F com- ponentium, excepro numero illo primo cuius logorichmus desideratur, dabicur quoque illius numeri primi logorith- mus, Jue invenire oporruic. F xempli gracia, propolicu lr in- venire logorichmum numeri binarii. suppoluto arbirrario numeri denarii logorichmo, vnitare cum 25 erphris. duo numeri compoliri parum inter se differentes lunt r000X 10. 24; numeri 1000 datur logorichmus, nempecriplum (pa- cii 23025850929940456240178700 in anrccedente inuencis Posico scilicet illospatio numeri denarii logorichmo arbin trario; numeri 1024 ignoracur logorithmus; est enim com- polirus ex lolonumero primo 2 nempe eius decies mulcipli- Carus est. applicentur hinumeri compolici in hyperbola, ve dictum est; licque GII 1000, F. F 1024: sed quoniam LK vnitas elt r0000000000On, erit C,HI 100000000000000O XF F 1024000000000000. ex perhuius 32 inveniacur (pa- Eium F. C, IIF 237265266773160421183067 (lexIEM COH uergentem hic appo velectori