Leibniz Legible

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. 26

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: 0.87.

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The machine reads it as

  1. Arithmetiea Infinitorum.
  2. PrOD. 35,36.
  3. 70. 27 8 - 19, 64 = 27 --373 125 = 64 -- 61. d6a
  4. 92
  5. C, E
  6. c. _C.
  7. PROP. ZZXV. Coroll.
  8. Enigs Fisurae spiralis portiones, quae in singulis
  9. circulationibus de novo describuntur. (preter
  10. illud quod in precedenti circulatione descriptum
  11. fuerat,) nempe quod intra spiralem primami continetur
  12. quod inter primam e. secundam, quod inter secundam e
  13. tertiam, quod inter certiam quartane, ec. sunt ad
  14. invicem ut 1, 6, 22, 18, 24, 8 c. (addendo semper, post
  15. locum secundum, numerum senarium;) Nempe ut diffe-
  16. rentia differentiarum numerorum cubicorum.
  17. Sequieur ex 33. Ouia 1, 7 1, 19-7, 37 m 19, 61 ~
  18. 37, eC. TUNCUE 1, 6, 12,88, 24. _C.
  19. SCHOLWDM.
  20. Haec aucem de area Rgura spiralis doctrina, continuis duode
  21. eim proponcionibus jam cradita, consona est illis quae cradic
  22. Archimedes circa tinem libri de Lineis Spiralibus. Libce aucem
  23. id iplum paulo ulcerius prolequia
  24. PROF. XXZVI.
  25. Cioroll.
  26. Omplementum fieurae spiralis ( quod nempe cum ipsa
  27. sectorem conterminum complet) est ad sectorem con-
  28. terminum, ut 2 ad 3.
  29. Sequieur hoc quidem ex prop. 24. Sed id iplum aliter otten.
  30. demustroc modo.
  31. Constare CuPPONAMUS ABuraM PMTT Ccomplementum
  32. Exurae Epicalis METM) ex intinicis arcubus PY, PF, _C. qui
  33. quidem lune in duplicaca ratione reCtarUM MP, MP, Arichme
  34. eice proporcionalium. (ne octendimus ad prov. 1I) sector
  35. AULENA CONTErMINUS MPY, ex cocidem constabit arcubus, iplis
  36. MF,
  37. Vet U3 6326,3

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 26. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0238?run=74