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. 256

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: 0.90.

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The machine reads it as

  1. CAF
  2. De RationibH.
  3. 3)5(13 5)7 (13 6) TT (1 2
  4. 6)10(73 5)8 (13 7) 10(17
  5. 4)71∞ 539 (18 8) 15 (TE
  6. 10) 13(593 =2 10 = 24
  7. 200) 107(5307 = 1 100
  8. 200) 108 (1,08 =1 102
  9. Ulbirero quantieatis majoris ad minorem ratio est Superpar-
  10. tiens, superbiparciens, Cupereriparciens, _C; Pric minoris huius
  11. ad illam majorem, racio subsuperparriens, subluperbiparciens,
  12. sub supereriparciens, _c. Nempesatio 3 2d5, vel 6 ad 10, est
  13. lubluperbipartiens certias; ec 4 ad 7. Lubsupereriparciens quar
  14. CaS. Fc in aliis paritEF.
  15. Notandum aurem est, in rationibus superpartientibus, deno-
  16. minacorem partis aliguoex majorem este debere quam est Nu-
  17. merus carundem aliquocarum partium altumpeari. Nonigitur
  18. dicicur supertriparciens cercias, vel luperquadripartiens quartase
  19. nam 3, rel Z, tantundem (UInCaC L. FF L Z, vel 1 Z, _C. idem
  20. est acq; 2: ideoq; major minorem Capius quam lemel contine-
  21. ret; (nempebis,) quod est concra detinitionem racionis lu-
  22. perparcientis. Mulcominus dicendum erie, Superguadeipar-
  23. tiens certias. vel quarras, ecc. (uc denominator aliguotarum
  24. parcium minor sic quam carundem numerus;) ica enim major
  25. Talcem bis suxponetur minorem concinere, et aliquid insuper.
  26. Sed neq; rice dicitur, Ratio superbiparciens guartas, lexcas,
  27. _C; vel lupercripartiens sextas, nonas, _c. vel luperquadri-
  28. parciens octaras, decimas, duodecimas, _C; ec paricer in limili
  29. bus: ue denominator aliquocarum parcium assumpearum, ee
  30. carundem numerus, communem aliquem dirilorem habeane
  31. quiurrumq exaere meriatur. Sunt enim 12 = 1Z, et 18 =
  32. 25, et 13 = 1 Z, CEF 3 =73, Ct15 -- +Z, 1 16 == 15,
  33. ex 1, 2 = + 5 _c. Non igicur dicenda est ratio superbiparciens
  34. quartas, aut suxertriparciens (extas, aur Cuperguadriparciens
  35. Octaras; led ratio selquialtera. Negi item Superbipartiens lex
  36. cas, aut supextriparciensnonas, auc luperquadripartiens duode.
  37. cimas, sed racio selquicerria. Neque, Cuperquadriparciens de
  38. cimas; sed suxerbiparciens quintas Pe similiter alibi.
  39. Siquis urget; ver Racionis Cuperparcientis detinicionem, hujul-
  40. modi loquendi Formulas non excludi: Dicendum crit, Ratio-
  41. MI
  42. Subsuperpar
  43. tiens.

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. 256. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0302?run=74