Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere, fol. 33

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: 0.94.

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

The machine reads it as

  1. C OM BTHA ETONES.
  2. Monitum.
  3. FToc problemare eractarum hunc absoluere constimeraM, nOn Fa-
  4. men omnino sine molestia, cum mulca alia parara habeam, sed obi
  5. canea vberras vi moderanda est tames, his erro pauca haec subiiciam.
  6. Frudicissimus ac mihi charissimus. D. D. DeCanieres, circa combi-
  7. nationes, assiduo ac perutili labore, more luo, incum bens, ac indioens
  8. Facili constructione ad inveniendum quories numerus darus in alio da-
  9. eo combinetur, hanc ipse sibi praxim instiruie.
  10. Daris numeris v. 5. 2,G, invenire quotmodis 2, combinetur in 6.
  11. Assumatur inquie procressio duorum terminorum quia inOF Nu-
  12. MeruS eA 2 incheando à majore 6, ac retrocrediendo, seu detrahendo
  13. vnitatem ex vnoquoque termino, hoc modo, 6, 5: Deinde assumatur
  14. altera proere sio inchoando ab ipsominore 2 ac similiter recrorredien-
  15. do hoc modo 2, r. Mulciplicentur invicem numeri primae proeressionis,
  16. 6,5, Sitque productus 30. Multiplicentur e numeri secundae proeres
  17. Sionis, 2, I, sirque productus 2. Dinidatur major productus per mino-
  18. rem. Quotiens est quaesitus.
  19. Fxcellenrem hanc Colutionem ipse mihi octendic, ac eriam demon-
  20. Reandam propoluie, ipsam ego sane miratus sum, Sed difticultare Terrirus
  21. vix opus suscepi, sc ipsi authori relinquendum existimaui; ACramen
  22. erianguli arichmerici auxilio, sic procliuis facta est via.
  23. Ins lemm. huius, ostendi numerum cellulae E, exponere mulciendi
  24. nem combinationum numeri z in 6, quare ipsius reciproca cellula R
  25. eundem numerum continebir. Verum, cellula ipsa K est quotiens di-
  26. visionis in qua productus numerorum L, 2, qui praecedunt z radicem
  27. cellulae R, dividit productum totidem numerorum continuorum quo-
  28. rumprimus est s exponens seriei cellulae L, nempenumerorum 5, 6. Sed
  29. ille dinisor ac dividendus sune iidem ac illi qui in constructione amica
  30. Cune proposiri, isicur eundem quorientem Corrieur diuisio, quare ipse
  31. exponic mulcicudinem combinacionum numeri 2 in 6, qua quareba-
  32. EUT. O. F. D.
  33. Elac demonstratione assecuta, jam reliqua quae invirus supprimebam
  34. libencer omicro, adeo dulce est amicorum memorari.

Cite

[Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere, fol. 33. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1023099829:0083?run=74