Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 368

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: 0.91.

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The machine reads it as

  1. AR IYHMEFICA
  2. PrOP. 11.
  3. Nam arcus conterminus spirali MI A, cA integra peripheria cireuli primi puncto
  4. A deseripra. Ideoque _c. per PrOV. 5. quod crai demonstrandum.
  5. P ROL. VIL.
  6. Corollarium.
  7. F Spiralis haec descripta circulationibus duabus, tribus, quatuor, 30.
  8. interris; aequatur semissi peripheria circuli secundi, tertiiu quartiu Oc.
  9. bisu ver, quater, 86. Sumptae.
  10. Nam dum describicur Spiralis M AB (duabus circulationibus Facta,) Punctum
  11. illud B, Peripheriam BB bis deseribir: S dum describitcur spiralis MI ABC, peri-
  12. pheria C C ter describitur; ec peripheria DD quater, dum deseribitur spiralis
  13. MABCD. Et sic deinccps, pro numero circulationum mulciplicanda cst peri-
  14. pheria concermini circuli, e mulcipli semillis aequatur spirali incerea deseripra.
  15. P ROP. VTIF
  16. Corollarium.
  17. T vero Spiralis haec ultra circulationem primam, sed non duabus inte-
  18. Deris continuetur, aequabitur semissi tam peripheriae inteeri circuli con-
  19. termini, quam ejusdem continuationis supra circulum interrum.
  20. Nam incerea dum describitur (motu composico) Spiralis M A F, deseribetF
  21. etiam (2 puncto P) arCuS P P F nempe tota peripheria P P cum adjuncto ad.
  22. ditamenIO PY. ErGO EC. PET PTOP. 5. Quod exat demonstrandum.
  23. eROP, TZ.
  24. Corollarium.
  25. T pariter, Si spiralis ea continuetur per circulationes duas, tres, qua
  26. tuor, aut plures interras, cum additamento; aequabitur illa semissi con-
  27. terminae peripisetiae intestu, oisque ver quibt iot suplus epta H ta
  28. mero nempe interarum circulationum) cum semisse item additamenti.
  29. mina inceora, aliue upet altestamentum: Hloc ets Coses P alelo CONTCKMI
  30. nus continet tondem incegros circuli ambitus (quot lune intesrae circulationes)
  31. cum addiramenio. Ideoque conttat propolirum, per prOP. 5.
  32. Ouia nempe dum spiralis illa deseribitur, tories deseribitur peripheria conter-
  33. EROL.

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 368. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0388?run=74