Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 258

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.

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

The machine reads it as

  1. SC
  2. De Rarionibus.
  3. Hujus Species lune, Dapla. Ec(-
  4. quialcera, Dupla- selquicercia, Du-
  5. Pla. Telquiquarta, _C. Tripla-
  6. lelquialcera, Pripla. selquitertia,
  7. _c. alixque ejulmodi in intini-
  8. tum. Sic ratio 9 ad 4, est dupla-
  9. Telquiquarca; 7 dd2, est cripla.
  10. lelquialeera; 42 ad 20 est, quadrupla. Celquiquinta; rOr ad 10,
  11. est decupla. selquidecima. LEparicer in aliis.
  12. Dupliciitag; charactere opus elt ad hanc rationem expri
  13. mendam; alcero, quo species mulciplicicaris indicetur, (dupla
  14. cripla, Bec.) altero, quo delignetur aliguoca pars, puca, num
  15. dimidia, cercia, _C.
  16. Uibi aurem ratio quantitacis majoris ad minorem est mulei
  17. Dlex- superparticularis; minoris huius ad illam majorem dicieur
  18. Dubmulriplex. superparticularis. Hlujulque species speciebus illius
  19. corrclpondene. F. Rigicur 4 ad 9, racio lubdupla. selquiquartas
  20. 2ad7. Cuberipla. Seiquialcera; 10 ad 42, Lubquadrupla. Celqui-
  21. quinca; r0ad ror, subdecupls selquidecima. EF Rc in aliis.
  22. Racio mulciplex- Superparciens, est racio quancitatis majoris
  23. superparriens ad minorem, quando major minorem aliquoties concinet, et
  24. Peo super
  25. Parciens.
  26. iplius inluper aliquot partes aliquocas. EIE8 ad 3. Nempen-
  27. merus ille hunc concinetbis es duas insuper hujus parcescerti
  28. aS Cre trientes.
  29. Hlujus species lunc; Dapla- luperbiparciens. cerrias, Dupla-
  30. Suxerquadripartiens quincas, Tripla. Cu.
  31. perrriparciens. quartas, Oundrupla Cuper-
  32. cripartiens, seprimes, aliaq; ejulmodi int.
  33. nicx. Tales Tuncrationes 8 ad 3; 14 ad5;
  34. I5 ad 4; 310d7. _C.
  35. Triplici icagi charactere opus ese ad
  36. hanc rarionem exprimendam: quo cum
  37. numerus mulciplicicacis, cum numerus parctum aliquocarum
  38. tum harum denominacio indicetur. ut pacet.
  39. Ubi aurem quancitas major ad minorem est in ratione
  40. Mulcipla suxerparcience; est minor haec ad illam majorem in
  41. racione Submultiplici- superpartiente: et species hujus speciebus illiuo
  42. correspondenc. Ica rario 3 ad8, est Cubdopla. Superbiparciens.
  43. FerEiAS; 5 ad 14 lubdupla suxerquacriparciens. quincas; 4 ac
  44. Submulie.
  45. elex- super-
  46. parricularis.
  47. Mulriplex.
  48. 10) 42 (432 = 43
  49. 10) 102(10,F = 2015
  50. Submulri

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 258. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0304?run=74