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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. 131

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. 165.
  2. drithmetica insinitorum.
  3. FV: 3r20 9: +N: 4X20= 16: t V: 5X20= 25: F V: B a 29 = 365
  4. + V: 7X20 49: f V: 8x 20 64. F V: 9X20 - 81: FV: 1OX20 mo
  5. 200: + V: 1F X 20 - 181. F V: 12 a 20 = 144: + V: 132 20= 169:
  6. + V: 14+20= 196: +V: 15Z2O= 225: Y V: 16220- 256: +V:
  7. 27 n 20 289: YV: 18 a 20 = 32g: + V: 19 a 20- 361: 4 V
  8. 20n20 = 400. Hoc eAt N ot v19 + 136+ V51. + N64F V79
  9. +V84+ V92 + V96+ 109 +V 100 + 100+ 10b + vorF 18q
  10. +r95+ 164+ V52+136+ ~19+V0 Vd2V0t2V19Y2136
  11. + 2~5F + 2~64 + 2V75 +2184 T2V9T + 2196+2199 +
  12. N100. (Nompe iidem ipsi qui lupra in quadrance Habentur
  13. Dolico radio parcium 10. bis hic polici; nini quod sinus maxi-
  14. mus veriqi quadeaNCi COMUNIS nON REPECAEuT.) Vel eciam
  15. Ot2V19F12+ 2151 + 16+ 10 ~31F9 V22+2N9r +816
  16. +6~1F + 10. Vel deniq; (quia 0 + 12+ 16F 20 --38) 38 1
  17. 2V29+2151F 10v3+ 4V21 72192+816+6V11. Ade04;
  18. racio quam habec aggresacum illud racicum, ad maximam to-
  19. cies policam, (puta 21X10 -210)
  20. 18+2V19+2151F10Y,F, NZTF2SOC+8V6F6VTI.
  21. 210
  22. 29FV19+ 152+5N3+2V22 F VOT F 4VbF3Y1I.
  23. 105
  24. Ec quidem quo plures ponantur Radii vel Diameeri ParTCS,
  25. cd minus ridecur explicabilisracio sinuum omnium ad maxi-
  26. mumcories lumpcum: adcoq; E supponancur radii vel diame-
  27. criparres intinica, (quod ad leopum nottrum Caciendum vi-
  28. decur, racio sinuum omnium ad radium cories policum, hoc
  29. cR, Ouadrancis vel Semicirculi ad Ouartracum vel Parallelo.
  30. erammum circum feriprum, videarue penicus inexplicab lIs,
  31. Calrem nihi ejusmodi explicatio sufticere judicanda lc, qualem
  32. Prop. 22T e 135. exhibuimus.
  33. Hlisicaq; Derpensis, prope abtuic nc rem qua( Denirus con-
  34. clamacam ulcerius inrestisando delisterem Id unicum quod
  35. Dem Fecit hocerne. Nempe quod eadem difficuleace non ob-
  36. cance, in cadicibus quadcacicis, cubicis, biquadracicis _ c. n-
  37. merorum Rrichmetice proportionalium resnon male (uccellic.
  38. Nam, verbi gracia, Ei series Sublecundanorum aliquou l43
  39. continuetur, pula Net VT+ N 2+ N 37 V, + 5+ 16, iptins rario
  40. ad maximum cocies policum. Duca7 V6, non ridetur alias ex-
  41. plicabilis

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 131. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0343?run=74