Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[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. 47

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.

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

The machine reads it as

  1. pono rlrimum characterem semel
  2. praecedencem bis, subiacet enim 2 sub 23
  3. Prxcedens per o mulciplicatus Facie zer0
  4. _ Sic de reliquis; quare ad iplos non accendiro; et (i summa priorum,
  5. nempe 22, per 4 dividarur, dimiderur _ ipse, secus autem, nOn.
  6. Ic numeri quorum vlcimus character lemel, praecedens bis, prae-
  7. Ocedens quarer, (relignis neglectis, zero enim sorriuneur) limul
  8. juncti numerum efficiunt mulciplicem 8, sunc iph _ ciuldem 8 mulri-
  9. plices, lecus autem, nOn.
  10. In exemplum aurem dabimus ee illud.
  11. Cnolcere qui numeri dividantur per 16. Scripris vedictum est nu-
  12. LAmeris naturalibus 13 2, 3, 4, 5, 6, 7, dc. _, 1, Sub, 1, PosIcO.
  13. 4 3
  14. 2
  15. 0 0 0 8 4 10 1
  16. Ex 10, auFer 16 quancum pocest; superest ip(e 10, Fx minore enim
  17. numero major numerus subtrahi non potest, quare ipsemet numerus
  18. 10 ponatur (ub 2.
  19. Ex ipso r0 decies sumpro, ve mos cAt, Peu ex 100, au ferO 16 quan-
  20. cum porest, superest 4 quem pono (ub 3.
  21. Ex 40, autero 16 quancum porest, reliquum 8 pono sub 4.
  22. FX 80 aHFCrO 16 quantum porest, Superest, 0.
  23. Tdeo omnis numerus cujus vlrimus character Cemel Cumpeus, penul-
  24. rimus decies, praecedens quarer, e praecedens octies, efficiune nume-
  25. rum mulciplicem 16, crie d ipse iplins 16 mulciplex.
  26. Sic reperies omnes numeros, quorum penuleimus character ae
  27. cies, reliqui aurem omnes scilicet rltimus, anre penulrimus, prxeance
  28. Denulcimus, de reliqui semel sumpri, etticiune numerum divisibilem
  29. Per 45, vel 18, vel 15, vel 30, vel 90, e ruo rerbo omnes dinilores
  30. numeri 90, duobus constances characteribus, dividi quoque e iplos
  31. pet hos divilores.
  32. TOn difficilis inde ad alia progressus. Ced incentaram huc vique
  33. Lemaceriam aperuisse, ex saris obscuram lucidissima demonstrario-
  34. ne illustranisse, (ufficir. Res exenim illa, qua ex additione characterum
  35. MMMeri, HOLCIEHE peF qUOS SIE divi(IbilIS, CX IIIE NUMCFOTUM HATUTA, ee
  36. ex eorum denaria progrectione rim luam Corrirur, E enim aliz progres-
  37. sione procederene, verbi grariâ, duodenaria (quod Cane grarum Forer;
  38. e lic vlera primas nonem Aguras, alia duae insticura eflene, quarum al-
  39. cera denarium, alcera rudenarium exhriberer; Tunc non ampliiis con-
  40. eingerer, numeros quorum omnes characteres simul Cumpei eAiciune
  41. numerum mulciplicem g esse ex iplos ejusdem o mulciplices.
  42. Sed uechodus nostra, em ee demonstrario, et huicprogressio.
  43. et omibus Poo bo
  44. At YELLLQTCFBYS.

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. 47. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1023099829:0097?run=74