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. 123

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: 0.83.

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The machine reads it as

  1. ProD. 155, 256, 157. Arithmetica Infinitorum.
  2. PROP. CLV. Th: rrema.
  3. 123
  4. l exponatur Peries Aqualium aueta lerie Pri-
  5. d
  6. manorum; Rggregatorum Ouadrata, Cubi, BI
  7. quadrata, _c. 2d seriem toridem eorum maxi-
  8. mo sEqualium, racionem habebune cognitam. Nempe
  9. Scriei
  10. R+ d
  11. _C.
  12. R+R
  13. Ouadraca.
  14. + 2 aR + 2
  15. _C. 1(9; 2d
  16. R = + Z R R + R =
  17. Cubi.
  18. R +3aR + 32= R +. 2
  19. _c. 2(9: 2d
  20. R 3RR = + 3 R =R + R
  21. ARtZAR AR = +ZAR + = ARE AR + EAR +3 AR F + AF
  22. + 2 + 2- 3
  23. + 2+ 3+ = = 2
  24. Ubinumeraror quilibet contat ex prae cedentis duxlo unics-
  25. ec aucto: Denominaror ex pexcedemre unitacc aucto.
  26. PROF. CIVI. Corollariu.
  27. Deog), Si Trapezio (ex Parallelogrammo x Tri-
  28. angulo, aequalium basium altitudinum, constato)
  29. aptetur Conoides (vel Ppramidoides) truncatum (seve
  30. convertione circa axem, sive alias;) erit illud ad Cylin-
  31. drum vel erisma inscriprum, ut Z adt T, vel, ut 7 ad 3.
  32. Nempe uc quadraca seriei Aqualium Ceric Primanorum
  33. auccae, ad leriem sEqualium.
  34. Sin Parralleloeranimi d Trianguli balis sinc inxqualeamo-
  35. deramen adhibendum eA.
  36. eeo ide. Cdatm
  37. aurem conoides vel egramidoides illud Cylnarice
  38. vel Prismatice excavetur; residuum erit C ad exem-
  39. ANM

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 123. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0335?run=74