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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 209r

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: 0.94.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 210v); this page is its right half.

The machine reads it as

  1. est qradrapla rationis Circuli ad Oradratum. Archimedes quidem, Po-
  2. Irgona Circulo inscribens ec circumscribens, groniam major est in-
  3. Ccripeis e minor circum (criptis, modum octedie, exhibendi limites intra
  4. quos circulos cadac, sire exhibendi appropingrationes: esse Scilicet rati-
  5. onem circumterentia ad diametrum, majorem qramz ad i, seu quam et
  6. 2d7; de minorem quam 22 ad 7. Hlanc Mechodu alii sunt prosecuri, Pro-
  7. lemaeus, Vieca, Mecius, Sed maxime Ludolphus Colonientis, qui ostendie
  8. esle circumferenciam uc 3. 24 259265358979323846 ec.
  9. ad diametrum,
  10. ad 1, 00000000000000000000
  11. Verum hujusmodi Appropingrationes, etEi in Geomerria practica
  12. utiles, nihil camen exhibene, qrod menti Paristaciat, aridae veritatis, nis
  13. progretocalium numerorum in infinitum continuandoru reperiatur.
  14. Mulci quidem perfectum Tecragonilmum professi sune, ue Coedinalis
  15. Cusanus, Oroncius Finaeus, solephus Scaliper, Thomas Gephrrander,
  16. ThomasHlobbes, Sed omnes Falso; calculis enim Archimedis relhodio
  17. Ludolphis refellebantur.
  18. Sed qroniam rideo, mulcos non Paris percepisse, quid desidere.
  19. tur: Sciendum est, Petragonismum sire conrertionem circuli in aequa-
  20. le gradracum, aliamre rectilineam fixuram (qrae pendet à ratione
  21. circuli ad gradratum diametri, vel circumferentiae ad diametrum)
  22. posse incellisi gradruplicem, nempe rel per calculum, vel per constru.
  23. ctionem linearem; ucrum q: vel accurate, vel propemodum. Qvadratu-
  24. ram per calculum acCuTaTUM rOCO Analyticam; CaM VerO, qua Per
  25. Constructionem accuracam fC, voco Geomerricam: per calculum
  26. Prope verum, habetur appropinqu acio; per constructionem prope re.
  27. ram, Mechanismus. Appropingracionem longissime produxic Ludol.
  28. phus; Mechanismos corcoios Vieca, Flugenius, aliiqre dedere.
  29. Constructio Geometrica accuraca haberi porest, qua non tantum
  30. Circulum incegrum, sed de gremlibet sectorem sire arcum metiri li
  31. ceac, motu exacto aegre ordinato, sed qri curris cranscendencibus
  32. competati qra per errorem alioqri Mechanicae censentur, cum ta-
  33. men aegre sine Geomecricae, ac vulgares: licet Algebraicae non sint, noc
  34. ad aegrationes Algebraicas, seu certi gradiis, reduci greant; suasenim
  35. proprias, etEi non Algebraicas, camen analycicas habent. Sed icta hic
  36. prodionitate exponi non pollune. Quadracura Analyrica, (Eu quae per
  37. calculum accuracum fic, iterum incres pocest dispelei; in Analyticam
  38. transcendencem, Alsebraicam, ee Arichmericam. Analytica trans-
  39. cendens,

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 209r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0419?run=44