Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 134

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: 0.86.

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The machine reads it as

  1. Arithmetica Insinitorum.
  2. SCHOLIDM.
  3. PrOv. 167
  4. Norandum hie, in serie racionem 2, 5 5, 53 3, _c. Deno-
  5. minatores sire conlequentes sune Arichmetice proportionales
  6. adcoq; h in sinculis incerrallis cocidem essene interponenda
  7. rationes, essene illX 2, 2, 53 5, Rc. juxca analogiam Arich
  8. mecice proporcionalium, & leres pror 44, 264.
  9. In Cerie rero racionum 23 5, 30, 150, 570, _c; consequem.
  10. ces 2, 6, 30, 240, 630. dc. hune concinua malciplicatione
  11. 6X 1OX 14X 18
  12. TX 2 X Z X a 3RC. vel ZX =2X2OX28,3L NC.
  13. MUMETONM LX
  14. 2 X 4X 6X8 eC.
  15. (ubi Fractionum tam numeracores guam denominatores (unE
  16. Arichmecice proporcionales) Et propterea (juxca progrestio.
  17. nis illius analogiam) E numerus primo e: lecundo incerpo-
  18. 7 sccundum. mendus dicatur A5 tenc reliqui, reliquis incerrallis incerpo-
  19. nendi, concinua malciplicacione numerorum AX
  20. 26,247328C
  21. 3 4G X 7BCC
  22. CEc quidem numerus primo anceponendus JA; juxca eandem
  23. analogiam. In praecedench aucem, _ propterca in mox lequen-
  24. ei lecie, numerus primo anceponendus craneleit; nempe, illie
  25. in nihil, istic en infinitum.)
  26. In Cerie deniq; rationum 3, 23 532a9 36, Rc. Conlequen-
  27. Ee8 2, 2,6, 20, 70, _c. hunc continua mulciplicatione numero-
  28. rUm TX 2
  29. chY TOY 10 DeC
  30. Ek 2 X 3 = + _C Vel TX
  31. 4XT2 X2OX 28_C.
  32. 2X 4 X 0 + 8_C. Cubi
  33. ut lupra, cam numeraco, es quam denominatores fractionum
  34. Cunc Arichmetice. proporcionales.) EE Propterea (juIXCa PrO-
  35. prestionis analogiam) si numerus primo e secundo incerpo-
  36. nendus dicatur a, tiunc reliqui concinua mulciplicatione nu-
  37. 8 X 76X24BC.
  38. Merorum a X -
  39. B 3X 7 _C.
  40. PR OP. CLXVII. CoroII.
  41. Deoqu, Si series infinita Subsecundanorum (puta
  42. Van Vb, VC, _C.) respectire ducatur in sciplam
  43. invertam (puta V: D = a. V: D - b. V: D = c.
  44. ec. acq eadem etiam in sciplam directe policam:
  45. Puca Ceries Va, Vb. Vo, ec. in seriem Va, vb, vc
  46. .c. intir primum
  47. te

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 134. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0346?run=74