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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. 26

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: 0.92.

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The machine reads it as

  1. LOM DLH ALLOA1S.
  2. Prima methodus.
  3. Summa cellutatum guarrae Periei, sexei erianguli, Caristacie, ex prae
  4. cect. nempe cellula D + F Y F.
  5. TLoc est numeri, + Y 4 Y 1O, Scu 15. Freo 4 in 6, combinatur 15
  6. modis.
  7. Secunda methodus.
  8. Cellula quinta, ba(IS Seprima K, Paristacie, it numeri, 5, 7, sunt
  9. proxime majores his, 4,6.
  10. Fcenim illa cellula nempe R, Peu 15 xequarur summae cellularum
  11. quariae seriei seti erianguli D + F. Y F, ex generarione.
  12. Monitum.
  13. In Bali sema tanc seplem cellule nempe, V, 9, K, P, E, H, 8
  14. ex quibus grinta allumenda est; Porest aurem ip sa duplici modo a(-
  15. Tumi. Cune enim dux balis exeremicares V, 5, s ergo ab exrremo, V
  16. inchoaueris, crie, V prima, secunda, R cerria, p quarra, E quinta
  17. quaesica. Si rero a s incipias, erir s prima, N sccunda, E terria, p
  18. gnarra, K quinca quaelica, lunt isitur dux quae portune dici, quintae;
  19. Sed quoniam ip(a luneaeque ab extremis remorx, ideoque reciproca,
  20. sune ip(ae eaedem, quare indifferenter astumi alcerurra porest, de ab al-
  21. cerurra balis exrremirare inchoari.
  22. Monitum.
  23. Tin aparee, quam bense conneniane combinationes se crianoulus
  24. aichmericus, ex ideo, proporriones inter series, aur incer cellulas rrian-
  25. suli obseruaras, ad combinationum rationes prorendi, vein sequenti-
  26. bus videre est.
  27. Prop.
  28. Duo quilibet numeri, xque combinantur in eo quod am-
  29. borum aggregacum elt.
  30. Sine duo numeri quilibet, 2. 4, quorum aggresatum 6 Dico, nu-
  31. merum 2 cories combinari in 6, quories ipse 4 in eodem 6 combina-
  32. EuT, nempe sinculos modis 15.
  33. Tloc nihil aliud est quam consect. 4. triane. arith. ex potest hoc vne
  34. verbo demonstrari, cellulae enim reciproca lune caedem. Si vero am-
  35. pliori demonstratione esere videarur, haec satisfacret.
  36. Mulcirudo combinationum numeri 2 in 6 xequarur ex s lem. Periei
  37. Secunda criangulisextinempe celtulis e Y + Y B Y R F 5, Seu cellulae

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. 26. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1023099829:0076?run=74