Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 19

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. LCLOADF
  2. DF
  3. coridem De, vE F ad X40. Qc. Unde colligirur series Y, 6, 30,
  4. 240, 630, dc. (Arich. Intur. PP. 133.) Qux non alia elt quam
  5. LClC L L 23 105 945.
  6. es 2, 21 33 48218+ eC, In Teriem Geomerrice propoiriona-
  7. lium 2, 4, 16, 64, 256, ecc, respectire dusta: Adeoque series
  8. 5
  9. 35H3eC+
  10. in hanc. item inter polatam X, 234, 8, 16, 32, Qc, respectire ducta,
  11. exhibebic illa primâ interpolata L, 2 H, 6, 5 1, 30, 23 1, 140,
  12. _EC. FE PFOPEerCA, AICUE F act 6, 30,140, EC, exhibene rationes quas
  13. habene rectarum omnium Y Z Porestoces secunda, Quarca, sexEa,
  14. ec. dd Tocidem D=, D4, D6, _C: Sic Y ad 2 1, 3= R, 256 ∞3
  15. e
  16. Sec, extribebune raciones quas habent carundem rectarum YZ
  17. Poreltates prima, certia, quinca, ecc, ad coridem D, D
  18. _c. Fr speciarim (quod noltra jam interelt) omnes cubi rectarum
  19. Y2, ad roridem D sre cubos FC, rationem habebune F ad 3=I.
  20. sive uc 3 ad 32 ∞. Quod luscepimus probandum.
  21. 6T. POrrO, quum calcutuS ad 5 52, 52,53,54, (ubi agitur de Cencrum
  22. cenero gravitaris solidorum ex convertione Semicreloidis circa gravicatis
  23. rectam C F) omissus sir, _ calculi cantum Fundamenta remoriora semisolidi
  24. extribica: libec hic calculum illum aliquarenus extibere, juxta cirea C P.
  25. mechodum quam 555 intinuari. Fc primo quidem perpende-
  26. mus conrertionem Frianguliv F P, deinde Praperii V Br P. Re-
  27. ctam aucem in Priangulo op, adeoque e Cr in Fraperio, dice-
  28. mus B; ejusque aliquotam parrem infinire exieuam b; adeoque
  29. VP eric Bt B, vel 2 B. Icem Z Y, dicemus Y; ejusque partem
  30. infinice exiouam, y. Ec rectam F Y, hoc est alcicudinem, vel
  31. etiam dictantiam ab A F, dicemus A; ejusque parrem intinite
  32. exiguam, a. Rectam denique 2Z, dicemus L.
  33. 62. Elis poluis; suxponimus in Friangulo o F p intinitas rectas
  34. Parallelas arithmerice proportionales, à verrice P ad balin usque
  35. D ContinuataS, O, Fb, 2b, 3 b, _C, ulque ad B earum maximam,
  36. quae es iplaop. Hxe autem rectae, dum circa rectam FC cOn-
  37. vercuntur, describune coridem annulos planos (Talcem bujusmo-
  38. di annulorum parres similes) aequales cocidem rectangulis paral-
  39. leloorammis a rectis iplis sux convertuntur, et peripheriis quae
  40. earum punctis mediis describuneur, contentis; quas peripherias,
  41. sive inceoras sre dimidias, cum sint radiis proportionales, per
  42. ip (05 racios detignabimus, nemDC O3 L 7, 27, 37, _C, usque ad
  43. hoc est Z Y radiOrUM IIIOTUM MaXIUML. Frune isitur Plana
  44. I1
  45. F18. T

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 19. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0035?run=74