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. 102

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. 29
  2. O2
  3. CYI= FY2XND; e proinde pohrea P. Y prima de C, Y EeCuN:
  4. das erie NO quarea concinue proportionalium, et ideo Agu
  5. eaDOT eA ad rectanoulum DV, ve conois parabolica (cuius
  6. basis est circulus BC2O) ad cytindricum parabolicum ille
  7. conoidi circum (criptum, cumque dentur proporcio conoii
  8. dis parabolicae ad cxlindricum sibi circumscriprum et re-
  9. ctangusum D V, dabitur quoque houra DOT. e ideopun-
  10. ctum quoque Z; de ideo dacur in lemicylindribase eius cen
  11. erum aequilibriis de proinde semicylindri cenerum grauicaris
  12. eric in data perpendiculari ad balem c centro aequilibrii ex
  13. cicaca, atque idem gravicatis cenrrum est in rect a O a ducta
  14. inter punctu e a mediun punctum rectae A B ex punCtO B
  15. buins, bdsBC. perpendicularis, suppolica nempe cylindrum ese
  16. seaum a plario baseos planum in rect a PO secaDEC; AEigIEUK
  17. DERC ad CZ ica Da ad as, erit dlemicylindricenerum graui,
  18. catis, quod inveniendum erat.
  19. In huins 62 docebimus aliam mechodum inveniendi pro;
  20. DOrTIONEM INEEF DV _DOT.
  21. PROP. 54. ZFI FORF M A.
  22. Se paralelOgTaMUM ABIK, AEquE curvA ACI calis Na-
  23. curX, Ve (duca recta quacunque DF Parallela et ae quala
  24. rectae AB CurVam sECANEC in C) racio AB ad FC SC mulcipli
  25. caca racionis A K ad A L inratione P ad . dico parallelo
  26. Bramum ABIK eNC aa SgurAM ACIKVEP it Qad O. produ
  27. tacur reCta IB in C RE IUASATUF CUrUA A HI C caLIS NATUTK, VE
  28. ductarceto CF tangenec curuam AC I in quolibee puncto
  29. C e ductis, parallelis FC, FH) recta C HIlic aequolis de pa-
  30. ralleta rectae FF: manitestum est ex huius 7 rectam AL ad F FD
  31. Teu LC adHC esse vEP ad O cum que hoc lemper AaE, CuI
  32. dens elt Aguram AC IB esse ad Fcuram AC IC TIVC P 2d3
  33. aeque ex huius 12 Agura ACIOHI CA ae qualiS ABUTX ACIR3
  34. e ideorsura AC IB est ad Aguram ACIK vE P ad C de com

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 102. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0118?run=74