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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. 107

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. PrOD. 134, 135.
  2. Arithmetica instnitorum.
  3. 10)
  4. numeros quadracos, d denominatores pex binos continue le
  5. quences arichmerice proporcionales.
  6. PROP. CXXXIV. Corollariumo
  7. Deoq3; Si series qnalium mulitata serie Primano-
  8. rum respective ducatur in seriem Primanorum: Re
  9. Etanculorum (ant ipsis aequalium vel etiam propor-
  10. tionalium Onadratorum autfieurarum quarumvis) asgre-
  11. eatum, ad ascresatum totidem aequalium, rationem ha-
  12. bebit coenitam.
  13. atq: idem accidet si vadrata seriei illius in Quadrata
  14. hujus; Et cubi illim in cubos hujus, c respective du-
  15. CantUr.
  16. Nempe eadem prodibune rationes quae in PrOP. PExced.
  17. NNam B ducacUE
  18. D in 2. C: D ma: D BaD+DE C:D mod: = D 3aD = X3AV =a
  19. n
  20. in aE
  21. Eet aD un aE a = D = = 2 d D + a
  22. ut
  23. _C.
  24. _C.
  25. PROP. CZXXV.
  26. CirollariHm.
  27. ec
  28. Deoq; Semi-Cirenlus ad Onadratum Diametri (vel
  29. etiam Semi-Ellipsis ad Paralleloerammum Ellipso
  30. circumscripium) eam habet rationem quam habent
  31. Radlices quadratiea universales Residuorum serrei Prima-
  32. norum serie secundanorum mulitatae, ad seriem Prima-
  33. norum illorum maxima sequalium, Totus itaque cireulus
  34. (aut Ellipsis) ad illud Qnadratum (vel Paralleloeram
  35. mum) rationem habebit illius duplam.
  36. Nam si diamerer circuli Creleriam clipleos Pona
  37. C1
  38. aeD 3a + D = + 3aD

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 107. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0319?run=74