Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 34

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. 4
  2. P R E N C. Y P L A
  3. F acc - a a b - a b b F bc6 = 2 bbc + b3, ec a3 b = a a b b + 2 a abc
  4. L abcc - - a b3- + bb6c - 2b3c + b+.
  5. Non lecus si proponatur a3bc = a b3C, invenieneur ex diriso-
  6. ribusreserratis an b, 6, a - b, dc a- f b dirilores sequentes: 1, a, b,
  7. ab, 6, 46, b6, abc, a - b, a a - ab, ab = bb, a ab - a b b, a6. F bc,
  8. a 4c - abc, abc = bbc, a a bc = a bbc, a F b, a a - F a b, ab F bb,
  9. a ab = abb, ac = bc, a ac = abc, abc - F bbc, a abc. F a bbc,
  10. aa -- bb, a3 = a bb, a a b -- b3, a3 b = a b3, a aC = bbc, a C-
  11. abbc, aa bc = b3C, _ a bc = a b3c.
  12. Neque praetereundum hoc locoridetur, quo pactohorum di-
  13. vilorum ope duae plurétre quantitates datae alia rarione, quaim
  14. ex superioribus facile fuit colligere, ad limplicissimos cerminos
  15. reduci queant. EEE ad reducendum a3 = a bb, a a b - b3, ee a3 +
  16. aab - ab b = b3 ad terminos simplicistimos, eandem cum iplis
  17. rationem habentes; quaro primO (uE ante) omnes cujusque
  18. quancicatis data dirilores: cruntque ipsius a3 = a b b divilores 1,
  19. an 4 - b, a a = ab, a = b, a a- F a b, a a - - b b, e a3 - - a b h: ip (IuS
  20. autem a ab = b3 divitOres CrUNEF, b, a - b, ab = bb, a f b,
  21. ab = bb, aa - bb, _ a ab = b3: at verO ip(IUS 43- = a a b = a bb.
  22. =-b3 diritOTeSCrUNE F, a - b, a F b, a a - bb, a a F 2 ab + bb,
  23. _ a = a ab -- abb -- b3. Jam cum inter ip(ostres sine, qui sibi
  24. invicem respondeane, ut a -- b, a - L- b, d a a = bb, quorum oDe
  25. datae quancitares ad simpliciores reduci possune; hinc ad inre-
  26. niendum terminos limplicissimos, divido a3- - a bb, a a b - b3, ec
  27. a3 F a ab = ab b = b3 per aa - bb (uepore dirisorem pluribus
  28. dimen(ionibus Constantem), huntque a, b, _E a ( b. CIbinOLAM-
  29. dum, quantieares propolitas fore incer se priimas, si nulli ex diri-
  30. Toribus libi mutuo respondeant.
  31. Oux ratio inveniendi dirisores non inepre quoque adhiberi
  32. porelt ad tractionum abbreriationem. Cc ad abbreriandum
  33. a3 - abb
  34. ag. 22. aa + 2 ab + 6B. Quia tam numerator quam denominator dividi
  35. Potest pera. L b, poterit prO
  36. de Caeteris.
  37. a3- abb
  38. aa = 2 ab + b6 Ccribi 2 a - ab
  39. a + b. Fc sic
  40. Inrencis autem omnibus diriloribus, ridendum est num alique
  41. ex ipsis sine quadrati, vel cubi, de c. qui si reperiantur, adhibert
  42. poterunc ad praedictum modum liberandi quantItates ex signOra.
  43. dicalio
  44. vide supra

Cite

Ps. 2, fol. 34. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0058?run=74