# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/898203430:0174 # Permalink to this reading: https://leibnizlegible.com/page/898203430:0174?run=74 # Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151) # Folio 146, page id 898203430:0174 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=174 # Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000174.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 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. a 21. prim GOnIE. VINCENTH VIVTANI DB LOCIS SOLIDIS semiordinatae B P ad a quadratum semiordinarae O F. C in Huperbola. KML, cujus transuerla diameter est F. M) sed permutando, e al FB aequale est quadrato B P, ergo _ quadratu F C quadrato L. aquale exic, sive raUS F. C requalis Set a L. MGH. 4C lis Rc. Oupropter descripta FIyperbOLA HML OPPOSiTa IPRI HFL, qua est Limes Ordinationis ramorum ex F ad Sectionem DE F, data ABC Oppolitam, est Limes quoque Ordinationis propolia ramorum ab eodem Puncto P termino cransuer si axis BF ad datam ABC. Ouod erat _C. PROPOSITIO LXXVI. NV FErperbola. Limes Ordinationis ramorum ab oriet ne inter exteriorem focum, (5 remotiorem terminum axis transuersi, est ad Locum concanum alterius IIy perbolae oppositae ei, quae sit Limes Ordinationis ramo. rum ab eadem orisine ad aliam FEyperbolam data op. Positam ducibilium. N IT data Fyperbola ABC, cuius vertex B, axis transuersus BE, in aD terior FOcuS V, exteriOr X, inter quem, _ terminum R ip(IUS axis transuers BF, qui verrex est FyperbOla 2 D P L 3 datae ABC oppolI. tae, sic data Oriso G, per quam cranseat ordinata D F Basis erianeuli cir cunseripei DIF, de ad cuius terminos D, F, descriptus sic Locus Ordina- tionis ramorum ex origine C ad iplam D P L ducibilium, qui per PrOD. IXX. Muius, eric FIyperbola OD T F P ipS DF F circumleripta, altera al teram contingens ad puncta D, F, ad quae cadem rectae linea DR, FR in eodem axis puncto H se mucuo secances. veranque praedictarum Hy- perbolarum concinsene. s PFaterCA ex PrOP. XVij. X ex definic. ZV. huius reperiatur TY ModuluS b20, huius. ex verricali Hyperbolae DPF, qui erie b axis cransuersus Limitis D YF Ordinan