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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 42

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: 0.86.

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

The machine reads it as

  1. PROP. RAVII. THEOREMA.
  2. TIdem postis: ducatur A Trectam F P bifariam diuidens
  3. in Iechyperbolam incerlecans in puncto (7, Aarque era
  4. perium sectori circum scriprum AFCL, quod dico ese mediii
  5. Geometricum inter parallelIOBranIMA FDMK, PLMD. Cx
  6. demonstraris Gregorii a S. Vincerio cuidens est craperium
  7. AFOL aequalC CNCrectilinCO DFCL M. X quoniam AOI rC-
  8. eta secar rectam FL bitariam in I, ex eiuldem GFregorii a S.
  9. Vincerio Lib. dehyperbola, manifectum eAt rectas L. M, GII,
  10. F.D, esse continue proporrionales in cadem rarione cum eri-
  11. Duscontinue proportionalibus AD, AFI, AM. alyM PEOTO A
  12. Oper punctum C ducatur parallella recta RCS rectis FD
  13. MK, Occurens in punctis R, S. quoniam rectX FD, OHI, L. M.
  14. Tunt continue provortionales, erie dinidendo ee Dermutan-
  15. AOFR ad SL veCIFLAdLMI: _ quONIAMFCCLE MA, HA, DA.
  16. tunc concinue proporrionales, cric eriam dividendo ee per-
  17. ucandOMFTadEID hOCCASCTadGRVEHA ad DA vel ve
  18. OFT ad LMI; d proinde FR est ad SI VESCadGR, curaque
  19. anguliFRC, GSL, Sncaequales ob parallellas FR, SL, crunE
  20. eriangula FRC, GL S, equalias X proinde Darallellogram-
  21. MUIM RDMS aequale CArectilinEO DFCLM sCu EraPCZIO A
  22. FCL; sed parallellogrammum RDMS est medium geomo-
  23. cricum inter paraIIelIAGPAMIMA PDML, FDMK, quoniam
  24. eandem habeneia alcicudinem eorum bales nempe L MI, SN,
  25. KM, Cunc continue provorcionalesid ideo craperium AFCI.
  26. estmedium geomerricum inrer paraHleltaBTAMMA PDML,
  27. FDMK, quod demonstrare oporruit.
  28. eROD.
  29. XR
  30. Leaicelic
  31. TIdem poliris ducaneur rectae FF, L. P, HY perBOLAM LANSCM-
  32. tes in punctis I, L, ve compleacur traperium AFE. L, Guod
  33. dico esse medium harmonicum inter parallellosramma PD
  34. ML, FDDMK. criangulum ALL, crapexium AFCL, de medii
  35. Rat.

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0050?run=74