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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 70v

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: 0.87.

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. 69r); this page is its left half.

The machine reads it as

  1. eracte
  2. denominator qui est inaequb dividendus est per 20y+214. Ergo ob aequatione destricti
  3. tiam residui, fiet
  4. Siau 26 = 30 hosrum - 100 ab nn mult. per, 21. 21
  5. S1a = 26 = 2. 30. 3ffrum - 2.10. 11 alibnn, quod mulk. per - 20. 21 ( = 28 =0
  6. 52 = 27 = 31. 31 aaffrum, - 11. u abnn, quod multua per + 20. 20.
  7. Unde fiet (21.30 - 20. 31) fm = 29 = (21. 10 - 20. 11)niab.
  8. 2. 20. 30. 31f5mm - 2. 20. 1b. 1 ab nn 20, = 30 = 0 = 31 ~ (20)y + (21) a; 20
  9. Quotiens autem divisionis per aquationes 2.
  10. erit
  11. per 1) dividali Hungerator qui dobet esse communis divisor Numeratoris 14 et denominatoris 16, (dio idatur
  12. + 20. 30. 30 a ffmm. y
  13. sinsto
  14. - 20. 10. 10 aV nn 3)
  15. = 2. 21. 30. 30ff nm - 2. 21. 10. 10 ab nn
  16. ividut numerator 1 et ob aequationem similem ipsi 24, nempe (20) 20(52) - 401) (51) + (21) (21) (50) osfiet aequatio
  17. o smm. z 20 lonabum sem per Ea a) -b = 0
  18. (52) = . 31 a bffrum - 11. u a bb nn +29. 21 a hFf, quod mult. por qu, + 20. 30. 30 H mm - 20. 0 te abnn senper(1c) (20)
  19. (5,1 =2. 30. 31 a b ffmm - 2. 10. 11 a bb nn + Z. V. W a h ff squod mult. per, - (20) (2
  20. ubi i tam in multiplicandis quam multiplicatoribus, projun substituento mins mult per numeros asuurtitios secundum aequationem
  21. Residui
  22. evanesent etiam f et m in mustiplicatoribus, sed in multi plicandis evanescet tantum s, et habebitur valor ipsius um per aa et per
  23. meros numeros assumtitios. Quotiens autem divisionis ipsius Numeratoris in aeq. 14, divisi per D, ut ede erit
  24. admodum aguu, (o E0) (50) y +20. (26) (51) a - 20. f1) (50) a, :, (20) (20) et = 37 =3. Et ita habetur valor ipsiis W
  25. Ex plicetur et jam et Valor 8 ipsius W, pro. Z et q positis valoribus ex aegq. 9 et 10, et quod
  26. C
  27. nempe W = =, 20y + 21 a nempe W = 38 = D:, 20y+21a
  28. et qui prodibit ipsus W valor debebit coincidere cum valae ex aeq. 38. Quod ut efficiatur commodissimum, hoc
  29. cum numprtore multiplicatus per arbitrariam dividatur per
  30. per quotientem dividatur de Numerntor perbitriant dixinus multiplicatus, et
  31. videtur, ut restruatur in numeratore, et denominati
  32. per binas aequationes coindidentiantes. Ita habemus destructitias tres, et coincidentiantes i duas, adeoque opus
  33. cujus
  34. 20y +2a, ressu tu
  35. destinatur resiodum
  36. ad huc est aequationibus quinque

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 70v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0140?run=74