Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 94

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. lia acCo quadracum recte CP aequale es quadraris re
  2. ctarum C L C,O. hoc est, quadracis rectarum C A, C. Chis
  3. aucem quodraris equale est quadracum recce AO aequales
  4. ereo sune recte C. B, AG; cumque hoc semperereniac in om
  5. nibus punctis curre hyperbolice F. QP, manif: um est exhu-
  6. ius 3 segmencum hyperbblicum FHRS equale eNe suPCrA.
  7. cicirrunei super curua hrperbolica FOT seccae a planoperre
  8. cram FScranseunre, e in angulo semirecro cum balc crunci
  9. inclinance; ee isitur cum quadearum receae X sic duplum su-
  10. perticicierunci, erie X radius circuli equalis superticiei co-
  11. noidishrperbolicae geniex exrocarione curux hyperbolica
  12. FDTcirca axem FS, quod demonstrandum erat.
  13. PROP, SO. PROBLEMA.
  14. Si curva Byperbolicaroretur circaaxem coniucatum; invenire
  15. circulum aequale Cuperficiei ab illa curva hyper-
  16. bolica rotata genitae.
  17. Ie curra hyperbolica a C, que rocata circa axem suum
  18. d coniugacum FZ. signie superticiem; oporcet huie luper-
  19. ticiei aequalem circulum invenire. Sic curux hyperbolice a
  20. cenerum Z, vercex an asymprocon Z. D: hyperbolam cangac in
  21. verrice arecta ak equalis lemilsi laceris recti ciuldem hyper:
  22. Bolx: lF rectA TTK rectx Za ParaIleII3 _ aequalis, quae produ.
  23. catur indehinice hyperbolam secans in R ee eius alympco.
  24. EOnZ. D in M; _ in illa SUMAEUF reCEA H V, cuius quadracum
  25. aquale lic quadraris reCtArUM HIR, HK: deinde cenerOZ ver
  26. eice a lichyperbola aV A, qua prOdUCAEUE dONCCRECFAM FC
  27. A Parallelam rectae Za incerlecer in A; ec PCBM eNEO By PeF
  28. bolico F A V aZ EAC ae quale quadratum, cuius diamecer X:
  29. dicoZ cNC radium circuli quaelici. Sic hyperbolae invenca
  30. alyM PEOEON ZB rectan HV CccanS in L, e ex quolibechy.
  31. perbolae propolicae puncto Pin verumque axem (li opus Clt)
  32. PTO.

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 94. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0110?run=74