Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 111

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: 0.92.

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

The machine reads it as

  1. PR OP. 49.
  2. De Sectionibus Conicis.
  3. bus nempe Diametri interceptae sunc Ordinacim- ap.
  4. plicatarum biguadratis, vel Curdelolidis, eC, propor
  5. tionales:) diei poterit Paraboloides Bignadraricale, vel
  6. Surdesolidale, eC: (nomine nempe rationi aptatO.)
  7. Lacus rectum ejusmodi Paraboloidibus conveni-
  8. ens appello rectam imasinariam; cujus, in Biqua-
  9. dracicalibus. Cubus in diametrum interceptum ductus
  10. aquatur biquadrato Ordina im- applicatae; in lurce
  11. Colidalibus, Biquadrarum in diametrum interceptam
  12. ductum aequatur Surdesolido Ordinacim. applicata:
  13. (e similirer in aliis Paraboloidibus, respectu semper
  14. habito ad gradtum P’araboloideos.) IIE (E (prout SIa-
  15. dus Poltularerit) pa =- d13, vel p5 =- a14, e TC de
  16. INCCPS.
  17. Habene aurem ex haec Paraboloidea Diametros in- parsun
  18. vicem parallelas; carumqi Ordinatim- applicatas pa.
  19. rallelas Tangenti in (suxe cnjusibet) diametri ver
  20. tice.
  21. Recta vero AF (diametri continuatio inter verti-
  22. cem _ tangentem intercepta) est, in Paraboloide Bi-
  23. quadraticali tripla, in Curdesolidali quadrupla, dia-
  24. MCTMInLCrCEPTa PA; (e Timilicer in aliis:) HOC eA.
  25. continuata diameter PF (applicationis puncto et
  26. Tansentis concurtu intercepta, eM ad Diametri in-
  27. cercepta Pa, in Biguadeaticali quadrupla, in Surdelo
  28. lidali quincuplas ee sIc deinceps.
  29. Demonsracio pari modo procedet acq; in Paraboloide Cu-
  30. bicali; auc etiam ipsa Parabola.
  31. Adeo ue jam Paraboloidis Cubicalis, Bignadraricalis, Cur-
  32. desolidalis, auralius cuinlrie, doctrina, non minus cognita ha-
  33. bearur. quam ix ius Parabule
  34. Si eamen, post pecimen hoc exhibicum, operae precium cen-
  35. Febicurrem hane Fulius prolequi, pocerie illud a quolibet Facil
  36. lime fieri cui tancum suppecic otito

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 111. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0195?run=74