Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

De Locis Solidis Secunda Divinatio Geometrica, fol. 146

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.90.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. a 21. prim
  2. GOnIE.
  3. VINCENTH VIVTANI DB LOCIS SOLIDIS
  4. semiordinatae B P ad a quadratum semiordinarae O F. C in Huperbola.
  5. KML, cujus transuerla diameter est F. M) sed permutando, e al
  6. FB aequale est quadrato B P, ergo _ quadratu F C quadrato L.
  7. aquale exic, sive raUS F. C requalis Set a L. MGH.
  8. 4C
  9. lis Rc. Oupropter descripta FIyperbOLA HML OPPOSiTa IPRI HFL, qua
  10. est Limes Ordinationis ramorum ex F ad Sectionem DE F, data ABC
  11. Oppolitam, est Limes quoque Ordinationis propolia ramorum ab eodem
  12. Puncto P termino cransuer si axis BF ad datam ABC. Ouod erat _C.
  13. PROPOSITIO LXXVI.
  14. NV FErperbola. Limes Ordinationis ramorum ab oriet
  15. ne inter exteriorem focum, (5 remotiorem terminum
  16. axis transuersi, est ad Locum concanum alterius IIy
  17. perbolae oppositae ei, quae sit Limes Ordinationis ramo.
  18. rum ab eadem orisine ad aliam FEyperbolam data op.
  19. Positam ducibilium.
  20. N IT data Fyperbola ABC, cuius vertex B, axis transuersus BE, in
  21. aD terior FOcuS V, exteriOr X, inter quem, _ terminum R ip(IUS axis
  22. transuers BF, qui verrex est FyperbOla 2 D P L 3 datae ABC oppolI.
  23. tae, sic data Oriso G, per quam cranseat ordinata D F Basis erianeuli cir
  24. cunseripei DIF, de ad cuius terminos D, F, descriptus sic Locus Ordina-
  25. tionis ramorum ex origine C ad iplam D P L ducibilium, qui per PrOD.
  26. IXX. Muius, eric FIyperbola OD T F P ipS DF F circumleripta, altera al
  27. teram contingens ad puncta D, F, ad quae cadem rectae linea DR, FR
  28. in eodem axis puncto H se mucuo secances. veranque praedictarum Hy-
  29. perbolarum concinsene. s
  30. PFaterCA ex PrOP. XVij. X ex definic. ZV. huius reperiatur TY ModuluS
  31. b20, huius. ex verricali Hyperbolae DPF, qui erie b axis cransuersus Limitis D YF
  32. Ordinan

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 146. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0174?run=74