Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 15

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: 0.80.

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

The machine reads it as

  1. PrOD. 19.
  2. drithmetica infinitorum.
  3. MT, _C. CIME NC 2, 2, 3, 4, _C.
  4. (Per constructionem spiralIs:)
  5. _E PEOPEETEA CUEVE MT, NI,
  6. _C. (illis rectis contermina)
  7. sine in rectarum rarione dupli-
  8. CACA (PEF PrOD. IX.) HCMDC UE
  9. 19439, 16, _c. erune ipla Ceo.
  10. MEnIA CONFINUA, MT, TY, _C.
  11. NC 13 4 = 1, 9 ro 49 16 n99
  12. Ouoderat demonstrandum.
  13. 5
  14. SCHOLIOM.
  15. Poca haec de longicudine linex Exiralis doctrina, continuis
  16. quacuordecim proposicionibus jam cradita, est apud Archime.
  17. dem in libro de lincis Spiralibus penitus omillas Nelcio an ab
  18. alio quopiam ex recencioribus eradita tueris.
  19. PROP. XIZ. Temmao
  20. I proxonatur Peries Ouantitatum in duplicata ra-
  21. tione Arichnetice-proporcionalium, (sive juxta
  22. Teriem numerorum quadraticorum,) continué
  23. crelcentium, a puncto vel oinchoatarum, (Puta uE
  24. 0, 2, 4,9, 16, Ec. 3 propolicum sc inguirere, quam
  25. habeacilla racionem ad seriem toridem maxima x
  26. qualiumd
  27. Fiat investigatio per modum inductionis, (ut in PrOP. L.)
  28. ericu
  29. 1t1 - 2 = 6 = 3 60
  30. ot 2t, +9-
  31. d
  32. X
  33. 2+ , + = e
  34. 4 F 4 + 4 =- 12
  35. = = + 22
  36. c + 1 + a + 9 + cb = 3C
  37. 3t9t9+9 = 36 18 =3 18 20+ 16+ 16+16+1680
  38. e4=
  39. + 2
  40. Or xF 4 +9+ 16+ 25 -55
  41. 25F25F25+25+ 25+25 =150
  42. 1o

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 15. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0227?run=74