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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. 190

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: 0.89.

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The machine reads it as

  1. Ariitmetica Tastnitorum.
  2. FE, _C. (isnempe quem locus ubi silticur postutaverie;) qui 2
  3. Cmero inccero unde ouanceseis B delignacio inchoatur)
  4. in prooresione. Acictmecica Binario continue crcleNnE. Re
  5. similicer, i C, 121e: ex hic7, 9, F1, 23, ExC: R. C, in V, WNUS CX
  6. illis 9, 21, 13, 25, _C. (quinempe illic a 5, hic a7, in Resite-
  7. merica progressione concinm, binorio croleune:) P in sequenei
  8. bus similicer: qued iple calculus indicatie.
  9. Adcou; univertalicur; in cacum quenricarum quatitiet desix-
  10. manca (quocunque candem loco sicue. Libue Ic,) pro denomi-
  11. nacore alsimo lumendus erie numeri qui Fractionum locum de-
  12. nominac duplus numero integro quae desenacicnem inchore
  13. aretuB.
  14. Si quis aurem guxrac, cur in hoc procectu (C in dencminatore
  15. utrior designando) per Factorem posteriorem porius quam
  16. priorem divitionem Faciamus: Rario cA, quia (ic res commo-
  17. dius procedie. Nam nei jam denominarores illiab inchoanre
  18. numero incesro srichmerice procedine crescendo; si per tacta
  19. rem priorem herec diritio, denominacor silli ab in choanceno-
  20. mero intepro rerroccderene decreleendo, donec randem perve-
  21. niatur ad numeros nesaciros (qui delignacionem masis curba-
  22. bunC.) uc experimenco Facto pacebic. Adeoq; ad illam lesem,
  23. si C verbi gracia) delienanda sic quanciras F, dividendo 10-
  24. 100 per K, denominacores illi sic proceunces Facuri Cunc 9, 7.
  25. 3. 3, E, mo 2, _c. Si encem ad methodum priorem diricarue
  26. 212 = 544 Per C, FpriATeNE 13, 15, 17, 79, 22, 23, 23, C.
  27. nempe a numero 2 illsc decrescendo, hic crelcendo: ubi au
  28. tem hac mechodo cora quancicas procie jucta major, illa predi-
  29. bic eciam juBd major, e conera. Unde eriam pacee, priorem
  30. illem mechodum designandi ulcimum denominatorem non
  31. modominus emrbacam. sed _ masis accuracum este, quore cM
  32. vollerior. Cum enim excessus e defectus sic semper peneo uI-
  33. cimam Fractionem (cujus nempe adjectione quancicas quxe pri
  34. uerar iusta maior tc just a minor, auc concra, ) ubi denomi-
  35. nacor cRmajor (eodem manence numeratore) Fractio minoe
  36. eH, acteoq; sive excessus sive deFectus minor, quam si denomina-
  37. corille tuissce major: adeoq; denominarorum illorum actump.
  38. eio per concinuum auemencum minuic, ac qua per concinuum
  39. decrementum aysec errorem. Ouod quicem coulq; verum cA,
  40. uc ne quidem illa nostra emendatio, qux per concinuum deno-
  41. mina-
  42. Pre
  43. 292

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 190. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0402?run=74