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. 59

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: 0.82.

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The machine reads it as

  1. PrOD. 74.
  2. Arichmictica insinitorum.
  3. cA Z = 2 + =;) quae eAt ad feriem tocidem maximae aequalium,
  4. Uc 22d30 == Z + +, vel uE3 ad 20. Puta A respectire malipIL
  5. eetur
  6. Series
  7. Oa 10 4 a3
  8. 9a _c.
  9. in Teriem N Ob, ~ 1b, N 2b, V 3b, _C.
  10. hoc cA Ccries 20a, V 2 1 a2, V 6402, V ? 729 a, &C.
  11. in Teriem N 30b, V 1b, V 2b, V 3b, _c.
  12. prodibic leries
  13. d
  14. 20a 7 b, N 3 x47 b, V 128a b, ~ 2187 a b, _C.
  15. Icem, S lerieo Sublecundanorum (cujus index Z) respecti
  16. ve mulciplicetur in seriem subguincanorum ( cujus in-
  17. dex 5,) eric produeta Peries Radices Decimanae Seprismanorun,
  18. cujus index 2. - = + 5.)e propcerea rationem habebie, ad seri-
  19. em maxima agualium, cam quam habec a ad 25 == 20 t 5, vel
  20. 10 ad 17. Puta hrelpective mulciplicetur.
  21. Scries. N 200 N =1a. N 2 2a, V 2 Z0, EEC.
  22. in Ccriem NOb, V3 2b, a 32b, V E3b, _c.
  23. hOc cA, Cerieo
  24. V
  25. 20 45, 1 2 1a, V 13203, V 10243 a3 _C.
  26. in Teriem ~ 2 OB2, V e 1B2, V 2 4b 2, V 209b 2 _C.
  27. prodibic leries
  28. Y 1e Oa 3 b 2, Y2e F4EB=, V 128 a b=, V02187a l2, etC.
  29. Ex similicer in aliis ejulmodi mulciplicationibus concinget.
  30. P R O P. LZXIV. Corollarium.
  31. Deogi. Vbi Aegrecatum Indicum serierum invicem re-
  32. spective multiplicatarum idem est, ibi et idem erit In-
  33. dex seriei producta.
  34. Txsempli gracio. Si lerieo cerrianorum in Periem Ter-
  35. tianorum, vel scries secundencium in Ecricm OuarZ
  36. norum, vel series Primanorum in Periem Omintanorum,
  37. vel Ceries Aqualium in seriem sextanorum, respectire nulri
  38. liceum ProdibitCeries (excanorum. Ouia nempe intngulis
  39. I K 2
  40. 288EC

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 59. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0271?run=74