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. 126

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: 0.85.

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

The machine reads it as

  1. F26
  2. Ecripram, ee ideo prramis inscripea mulco minor est eadem
  3. prramide balem habence planum xquale superticici conicE
  4. ACFBIL d alcicudinem MF. Ccd pyramis inscripea criam
  5. minor est prramide conica; prramisisitur inscripea minor
  6. eA prramide coniea er minor eriam preamide conicam (u.
  7. perticiem basem habence, prramis rero circum scripea utra-
  8. visharum pyramidum demonstrata cA maior, et ideo maior
  9. est differecia incer pyramidem circumscripeam et inscripeam
  10. quam incer pyramidem conicam ec prramidem quae Cuperhi
  11. ciem conicam probase habet; sc d differencia interpyrami
  12. dem circum Ccriptam ee inscripeam eAt minor quam a, de pro-
  13. inde differentia incer prramidem conicam e prramidem
  14. (duxe supersiciem conicam pro base habet) est muleominor
  15. quama, quod cA abCurdum, ponitur enim a differencia inter
  16. dictasprramidesi non ergo differunc pyramis conica AMC
  17. EBIL _ prramis cuius balis eA superficies plana equalis co-
  18. nicae superticiei AGEBIL d alcicudo recta MF, de ideo
  19. aquales lune, quod demonstrandum eroc.
  20. Ex verrice coni Ainbalem prramidis COniCA MCFBII. (A
  21. OpusCA) productam demitratur perpendiculoris recta AI;
  22. manifeltum es ex hoc Theorcmare M F eHe ad ANVEDaHIS
  23. Pyr.midis conica MG EBI L. ad superficiei COniCX pOrrIO.
  24. nem ACEBIL.
  25. P R O P. 68. Z HI P O R F M A.
  26. Si in rectilineo quocunque aequilatero assienetur punctum; e ab illo
  27. puncto in omnia rectilinei latera demittantur perpendiculares
  28. recta; erit rutanculum ex semisse summa perpendicularium es
  29. es perimaro rectulinei ad rectilineum, vt numerus laterum re-
  30. Etilinei ad unitatem.
  31. SIcrectilincum aequilaTerUM ABCDE: a puncto O intra
  32. rectilineum demiccantur in omnia rectilinei lacera PeI:
  33. Den.
  34. U
  35. e
  36. 21
  37. et

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 126. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0142?run=74