Leibniz Legible

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 88

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: 0.89.

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The machine reads it as

  1. 88
  2. crunci, eric X radius circuli aequalis superfciei conoidis aro-
  3. ratione curuae parabolica AM C circa exem AB genit_,
  4. quod demonttrandum crat.
  5. Hlinc eriam manifectum est cenerum orauitaris superticiei
  6. conoidis parabolica idem ene cum cenero aequilibrii leg-
  7. menciparabolici AF NK B in axC A B: est enim scgmencum
  8. AEKB magnicudinc ec gravicare analogum cum superticier
  9. crunci ex huius 3, ee superticies crunci es mognicudine
  10. Brauicare analoga cum superticie conoidis ex huius 24: SCd
  11. ex hac ip la proposicione lequitur illa analogia in mognicudi
  12. ne e gravicare, quoniam eadem quae demonstrantur de in-
  13. ceoris eodem modo demonstrantur de parcibus earum pro-
  14. portionalibus v. 8. eodem modo demonstratur sectionem
  15. superticiei conoidis parabolica genira ex reuolutione cur-
  16. VXMC esse aequalem circulo cuiusradii quadracum duplum
  17. est sesmenci CNKB, quo demonstrara clt praesens propos
  18. 110.
  19. PROD. 17. PROBLEMA.
  20. Invenire circulum aqualem superficier (pharoidis oblonea.
  21. Ic Spherois oblonga genica exrerolurione semiellipseos
  22. ElEcircaaxem longiorem P P; cuius superticiei opor.
  23. rec invenire circulum aequalem. In verricibus T, E, ellipsem
  24. TANGANErECEA TR, FD, aequales semisilacerisrecci: deinde
  25. cencro Con verrice F per puncca D, R. ducacur ellipIS DFR;
  26. e Segmenco ellipcicO D FRY E AAC a quale quadrAEUM,
  27. cuius diameter sic X. dico X else radium circuli equalis
  28. superticici sphaeroidis oblonsa propolicae. producacur et.
  29. lipss DFR, donec axem L P productum incersecet in
  30. punctis Z. B; Facile paterrectas CL, FCesse semiaxes conius
  31. Satoslemicllipleos BFZ. lemielliplestangences inverrici
  32. DuSB, F, T, Z, ducancurreccae B A, F. C,3 Y O. Z Y, omnes
  33. aquadeSrCCEX FC, de IUNBATUI recTA AC F QZ; aUCANEUT
  34. 7

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 88. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0104?run=74