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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. 91

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: 0.84.

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

The machine reads it as

  1. ule
  2. (loB. L26, 122: Arithmetica insinitorum
  3. PROP. C. XI. Corollarim.
  4. Cndc. Si infinita series sequaliune muletata se-
  5. rie Primanorum, in eandem seriem sgnalium
  6. eddem serie Primanorum auctam, respective du-
  7. catur: Rectansalorum (C vel Onadratorum aut etiam si-
  8. vilium quarumvis ficurarum ipsis aequalium, aut quidem
  9. proportionalium, Recreeatum, ad accrecatum toridem
  10. maximo qualium, rationem habebit cognitam.
  11. Atq. idem accidet, si Duadrata seriei muletatae ducan-
  12. tur in Quadrata serrei oucta es enbiillius in Cabos ha-
  13. Insi sc deinceps.
  14. Nempe cadem erodibune raciones quae in erop. 1 28. N. m
  15. R mod : E md 3 = R p 2 a RE + 2
  16. in R F2
  17. Tacit R, 22
  18. C.
  19. L: R F 2 : == R = = 2 aR + 4 2
  20. R = 2 2 2R 2 + 2~
  21. _c.
  22. C: R in 23 = R = 3 aR = Z 32 =R = a
  23. in C: R + 2: =- R 8 4 3 2R = 4 32= R + 2
  24. tacie R 32ER + 3A =R = d
  25. EC.
  26. _sic in singulie cerminis cujueris porettaris; un mulciplicando
  27. paccbiceroP. 121.
  28. eROP. CXXI. Crrovarium.
  29. Deoq3. Circulus ad Gnadratum Diametri, (vel et i-
  30. am Ellipsis qualibet ad Parallelosrammum sibi cir-
  31. cumscriptum. eam habet rationem, quam habent
  32. Radices quacraticae universales Restduorum seriei infini-
  33. re Aqualium serie secundanorum muletata, ad seriem il-
  34. Jam segnalium.
  35. ena

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 91. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0303?run=74