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. 126

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: 0.88.

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The machine reads it as

  1. 126
  2. arithmetica infinitorum.
  3. SCHOLLVM.
  4. PrOD. 102
  5. Ec pari modo procedendum eric, si exponatur series prima
  6. norum (vel eriam Sccundanorum, Tercianorum, _C.) aueta
  7. Perie quilibet alia, uc non sic opus hilce diucius immoraet.
  8. PROP, CLZII. Corollarium
  9. DeOg. Conoides vel Pyramidoides Fyperbolicum ad
  10. asemissem Cylindri vel Prismatis circum (cripti, est ut
  11. S adt 6: ad totum vero, ut 8 ad 12.
  12. Incellise, hicam exantrersa diamerer, quam diameter inter-
  13. cepra maxima, ponacur aequalis laceri recto: secus enim ad-
  14. hibenda eric moderacio.
  15. Nam, S DOnatur Hyper bOIX latUIS rECtu LVeL R, Cran(VerPS
  16. diamecer 1 = l, _ diaeTer INEETCCDCA d, erunE quadrata Or-
  17. dinatim apelicatarum d1 + =, dl (DeF PrOP. 33. C On. Sect.) vel
  18. (PrOPtCKI = 1) dI+ d 2. EEprOPterCA (cum AEL vel R, CerTI
  19. quanciras, _ dmucabilis _ quidem alcicudini proporcionalis,
  20. pro qua isicur subai
  21. cui Dote a B,C, _C.)
  22. crune omnium qua
  23. draca (adeoq;e plana
  24. Conoidis rel Pyrami-
  25. doidis) Ceries infini-
  26. ca Primanorum aucte
  27. Terie Secundanorums
  28. Duta aR + a = BR L
  29. b=, cR + CL _C.
  30. vcq; ad R = + R Z. R-
  31. deoq: Teries illa ad
  32. Temissem serici coci-
  33. dem maximo (R = X
  34. R Z =- 2R =) aequa-
  35. lium (puta ad AR =)
  36. ericur5 ad 6, Pet Placea. et prepcica dd Incexram illam se-
  37. ate _GaaM AC5 2d T2. OuOderAE DEOPOMTUM.
  38. CHO

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 126. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0338?run=74