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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 95v

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. 94r); this page is its left half.

The machine reads it as

  1. -
  2. Extractum opta ecriptae a wallitio ad
  3. Collinium oxonio Martii 29. C673
  4. Sthack jou sorse papers f Extraits ont os Brassers aud terguions
  5. Alyebra. His very true, est those Cubie aequations of cor qua giue m
  6. stance, may vers velle sall onder cardans rule, notiotestanduu ye impossibi
  7. lity os = (yesquare root of a negative quantitus) in duch cases as ye hinos
  8. nual cube voill adnit of a Cubic roots extraction (Sc: a + V -- 1:) because thon
  9. ge mipossibla part of ge 20ot (est is V-:) cours in ye addition tole extinguistit.
  10. of coch) oas besore very vell avare. Put r maiu difficulty is extractin
  11. yt Cabic 20oz oil ale Rinouiels do nos admit. yet thy difficultes is not sd
  12. great as may at finst viero be thousat; non is it greater in this case deau un
  13. other cases e gesaure rule, Wdhere such V. dote not ocuur. Hsind by yr
  14. papez. est they have a method, oeu colat it is slenoco not; eut quesse it tobe
  15. zes aue cote est os des-cartes in hiy Epistles. part. 2. est. 43. Out loug besore
  16. Jhad seen unythniys os des cartes, or lndu auy thuiys et carvans rule (at
  17. loast by est naue) J had long suice (cohile J Wvas yet but a gouny Hllyebrin)
  18. in ye year 164S sound ont gesame by my ocon inqueries (os cous grue ac,
  19. count in my presace torst agsa ncibomius.) Aad meetmiy thon cotl ye difficitts
  20. os extractnius aje Cube-200t es a Binomial, Jtook this eans aud obvivus way
  21. to epedit mysoes (∞ Woch 1 did in gesame year 1640 gine au accountr at hus re
  22. quest, to nr Bmith thon Mathematie professor at Cambridye, in ansverto a
  23. Lettez oflis.) oce is ouly, 6y reducinu ye surd into atqe rational aud ivratio
  24. nal part; o2 (och is zesaure) by clariny so muit os it as e rational Boue
  25. je note of radicalites; as sor instance, for 247 J vouto quit yry; aud. by ye
  26. same reuson, 5or V= 243, J Woould but 9r= 3. For, by thys means instend os
  27. VC: 10 = V- 243 Croch ys ist first in stance) J Thould put VC: 10 + 9V27. Aad
  28. au precentey sure, est either V=3, or some multiple s it Cy a rational num
  29. bez (integer or Gracted) is seirrational noure ofye binouial root; Cas in
  30. se present case, 22 + =r= 3.) Red, cohat est rational multiplier is, vill not be
  31. hard to discover: Seniqs est ve are sure enougle prouc ye construction of a bino
  32. mial cubes supposnius ye root tobe a +Vb, ye cube must be a+3a= Vb+3ab
  33. +6Yb; os coch ye fast aud y part vre contained in one, aud ye 2d aud yte
  34. part in ye other meuber of ze binomeul; or, is je rest should chance tobe

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 95v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0190?run=74