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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. 6

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: 0.93.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. Ariihmetica insinitorum.
  2. PROP. VII. Coroll.
  3. I Spiralis descripra circularionibus duabus, tri-
  4. bus, gnatuor, ~c. inteoris; aequatur semissi pe-
  5. ripheria circuli secundi, tertii, quarti, c. bi5,
  6. ter quater, c. sumptae.
  7. Nam dum deseribitur Spiralis MAB (duabus circulacioni-
  8. bus Facta) Punctum illud B, peripheriam BB bis delcribit.
  9. _ dum deleribitur Coiralis MABC, Peripheria CC cer deleri
  10. Dicurs _ Perioheria DD quater, dum delcribieur (piralis
  11. MABCP. EF c deinceps, pro numero circulacionum mulii
  12. plicanda elt peripheria contermini circuli, de mulcipli semilsis
  13. aequatur spiraliincerea deleripta.
  14. PROP. VIII. CorOlI.
  15. Y vero spiralis ultra circulationem primam. sed
  16. non duabus inteeris continuetur, aquabitur semissi
  17. tam peripheria intesri circuli contermini, quam e
  18. jusdem continuationis supra circulum integrum.
  19. Nam incerea dum deseribitur (motu composie) Spiralis
  20. MAT, delcribetur etiam (a puneto P) arCUS PPT, nempe
  21. toca peripheria DP cum adjuneto addicameneo PY. Fr80 _C.
  22. PEOPEOPS Ouod erac demonstrandum.
  23. PROP. 1X. Coroll.
  24. E Paricer, Si spiralis continuetur per circulatio-
  25. nes duas, tres, guatnor; ant plures inteeras, cum
  26. addiramento; egnabitur illa semissi contermina
  27. peripheria inteere, bis, ter, gnater, ant sapius accepta
  28. (Pro numero nempe interrarum circulationum) cum se-
  29. misse item additamenti.
  30. Quia
  31. PrOP. 7, 8,9
  32. Infieura se.
  33. guente.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 6. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0218?run=74