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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. 146

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: 0.85.

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The machine reads it as

  1. it
  2. drithmetica instnitorum.
  3. PROP. CLZXXI.
  4. Theoreme
  5. Prop. 162
  6. Fries numerorum Frianguliprramidalium, in
  7. praemicta Pabella, commode interpolari Dote-
  8. rie Ciplorum numeris lacoralibus, tot interpo-
  9. nancur medii Arithmetici, quoc oDus cA, _ ex iis For-
  10. mentur numeri Friansuliprramidales, Per Praece.
  11. denceM.
  12. Duca laceribus interpolatis Z, 1, 1232, 2233,32,4142
  13. 5,52,6, etc. relpondene manere Frianonlioycamidales 128, 13
  14. 2 128.3538 128, 13, 23 128,35350 125,70394 225, 26, C.
  15. 12.
  16. 128, 15, 2828
  17. 226, c. Vel porius 2, 2435,
  18. p84
  19. 70, 26105
  20. PROP. CLXXXII. Lemma
  21. 2818
  22. DRopolitum sit inquirere, quam ad latus luum ratio
  23. nem habeant sequentium seriorum numeri Figura-
  24. ei puta Prramidipyramidales, E2c.
  25. Poset quidem hoc praekari eadem mechodo qua usus sum ad
  26. Prop. 176, _ 179. Opc proposicionum ibidem memoracarum,
  27. nempe pr. 2, 20, de 40, sinul cum prop. 43. Talcem si prius ul-
  28. cerius prolecuri Fuerimus cradicionem racionum quas habene le-
  29. riestinicx Onartanorum, Onincanorum, Sexranorum, (cum
  30. Sequoncibus,) ad series Aqualium; quain cradicionem non nili
  31. lericer innuimus ad proD. 43. Fam veeo liquis ulcerius conti-
  32. nuandtam relic, licebic iptirel alia quae libi maxime placeat
  33. mechodoid praestare, vel eciam (nili meliora ipsi OccurranE
  34. auxilia) opehujus ipsius quam iam prae manibus habemus Ta-
  35. bellae, Poltquam ria mox docenda ottenderimus rationes nu-
  36. merorum figuracorum ad Cuum cujuslibee lacus in sequentibus
  37. Seriebus inrestisare. Nam ue ad prop. 176 _ 179, ex cognitis
  38. racionibus simplicium Ccrierum finicarum (Duca Primanorums
  39. Sccundu

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 146. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0358?run=74