Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 89

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: 0.88.

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

The machine reads it as

  1. ORBIHATIONVM CONIC. LIMIEIBDSEIB.I. S9
  2. Balim perpendicularis, exit quadrarum OA aequale rectangulo sub (O
  3. in OE, vel lub dimidio ipsius iO in duplum OV, hoc cst (ub LCF in
  4. rectum lacus (quod equale policum Fuit duplo OL.) sed ec quadracum
  5. semiordinara CFI in Parabola aequale esta eidem rectansulo, erso a rI. primi
  6. quadracum OA aequatus quadraro lemiordinate CFT in Parabola, dc Conic.
  7. DEODECFCAramUS Contingens OA ad Circulum aequalis semiordinaca
  8. C.FLin Parabola LF K: ec pari ratione ramus OC. aequalis semiordina.
  9. tx CEN: ScdOF, FC lune xquales, ex constructione, ergo recte OII,
  10. ONParabolam contingunt ad FI, NI, iplaque Parabola circumaveto b 33. primi
  11. criangulo TTO N est inseripca.
  12. Prxcerea, ex terminis diamerri B, D, ducantur rerticales cangen-
  13. tes; quae Parabolam secene alcera in MI, alcera in l, HE, e lic alius qui-
  14. CuinqueramuS OR, ec ex R ordinata, que Parabol_ occurraL in I,
  15. diametro ducem in V.
  16. Ononiam isirur ab oririne O externo termino axistrianguli cir-
  17. cum (eripei dueti lunc ad C irculi peripheriam rami OD, OR, OA,
  18. OB_C. Sc exhorum terminis D, R, A, B _C. luper BD CuncDerDen.
  19. diculares DD, RV, AG, BBac. ec axis OCE sectus est bitariam in P,
  20. Conic.
  21. CTUNE QUAATAEA RAMIOTUM OD, OR, OA, OB ve sune ClINCR FD, hvii
  22. FV, F C7, F B, vel, in ParaBOlALFR, re lunequadraca Pemiordina- d 20. primi
  23. TATUMDI, V P, CETI, BM ecC. Sed quadratum rami Oa aequale est Conic.
  24. quadraro semiordinata CETI (nam ipse ramus eidem lemiordinate
  25. equalis est, ve lopra octendimus) erro ec reliquorum quadrata, qua-
  26. dratisreliquarum, sive ipsirami OD, OR, OB ad Circulum ipsissO-
  27. miordinacis DI, VT, B MI in Parabola Cinguli lingulis aequales crune:
  28. ec idcirco concauum huiulmodi Parabolae est Limes provolicae Ordi-
  29. nationis. Ouoderacec.
  30. R O+ L.
  31. Amtectum est hinc rattonem distantia inter verticem Limitis, ec
  32. V Citc ad anciam Mcer originem, ee verticem Limiris, hoc
  33. esF B ad FO candem esse, sc rami minimi ad maximum, nempe
  34. OB ad OD: ratio enim BF ad FO eadem est ac BF ad PCF, vel c 10. lnius.
  35. ac BCE ad CiD, vel ac BO ad OD.
  36. Vumhorum Limitum recta latera ae qualia sine asprexatis ex maxi-
  37. Lmoeeminimoramorum, pacet iplos ed ampliores teri, quo re-
  38. morior tuerir a Circuli verrice externa orixo data.
  39. oponroxo roquori
  40. et
  41. ondenladaea e

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 89. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0117?run=74