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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. 136

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. 13C
  2. Arithmetica Infinitorum.
  3. SCHIOLTVM.
  4. PFOD. 169.
  5. Cam isitur (ut ad ea quae monnimus in Schol. prov. 165.
  6. tandem redeamus) res ed redicta sic, ut s postimus rationes
  7. IIl2Sincerpolare (DrOP. TIB. EMOTATAS) 2, 3, 15, 185, _C.
  8. hoc ett, quas habec 7ad c, 2, 23, =88, _C. (hoc eA, ad 1,
  9. 12, 23, 2 45, dC.) Qui CerInI CON(EqUeMLeS HUINE ex COnCI
  10. nua mulciplicacione numerorum TX
  11. 3 XG X 7 X 9_C
  12. 2X 4 X 6 +8 _C.
  13. e
  14. Vel etiam illas (PrOP, 133. ) 2, 33 36. 220, _C. quaruM
  15. termini consequences 1, 6, 30, 240, _EC. HinnE CZ COncinud
  16. mulciplicacione numerOrum YX
  17. 6Z TOX TA X Y8 _C.
  18. LX 2k 3 X 4 EC.
  19. Vel denig: ( illa8 2, 23 53 -5, _C; nempe quas habet r ad
  20. 23236, 20, _C. C numeros diagoniales cabellae ProD. X32.)
  21. qui tiunc ex concinua mulciplicacIONE NUMETOTUI LX Z =E. X
  22. 18 + 24 EC.
  23. Si, inquam, harum rationum Ceriem unam aliquam interpo-
  24. lare pollimus, habebitur accuratillima circuli quadratura. PC
  25. quidem in prima _ cerria incerponenda eric Cpos primam; ra-
  26. eio E: in secunda veroracio , G. Adcoqs incerpolatione in
  27. una prxeltica, in religuis eciam non ditfculcer Rec.
  28. Elacer isicur (uc inde exordium lumamus, unde major elu
  29. cet spes quaelicum consequendi) Tabellam illam Prop. 132.
  30. ageredi, uc rideamus num qua possimus arce illam interxolare:
  31. Adeogi, iplam repecere incermistis alcernactm (paciis, (uc qua
  32. ihic lunc lertes prima, sccunda, certia, _c. sine hic secunda,
  33. quarca, Sexra, _C.) Et paulo accuratius examinare; quod le
  34. quentibus aliquoe propoluionibas ACF.
  35. PROP. CLXIR.
  36. Theorema
  37. Umeri omnes TabelIX prOP. 132. TunE AGura-
  38. ti. Nempe, qui in illius serie primâ (Cive c
  39. recta sive tran(ver(a) sunt monadieis qui in
  40. certia, Priangulares; qui in quarta, Prramidales; et
  41. sic deinceps, puta Frianguli prramidales, Pyramidi-
  42. prramlcteo eC.
  43. Numet

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 136. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0348?run=74