Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 421

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: 0.82.

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

The machine reads it as

  1. PTOP. CXXYII.
  2. PkOt. CA=YLI.
  3. Theorema.
  4. T expOnaTIE (MMIILA) series aequalium mulctata serie (ataloe2
  5. Primanorum, Secundanorum, Tertianorum, etc. Residuia ipsa.
  6. corungue Onadrata; Cubis ec. Fam rarionem trabebunt ad exxo-
  7. licam seriem aequalium; quam habet Cnitas ad numetos in subjecta
  8. Tabella indicatos. Lrempe.
  9. Retid. ) C. )Cubis Big. ISupers. ) Sext. 1
  10. 122 1 28I e
  11. 6 ab l 384 I 56 I
  12. 13 1 18 1 162 l 104 2 1 3 bo l 3b
  13. 13 3u 3bqu l Sraa l 132685 l 3943 13
  14. 150 l 130 ISI 31SoB prer 6 E
  15. IIvrs Sela lesto 1o
  16. Et Ec deinceps.
  17. Sequitur ex praecec.
  18. SCZYOF ZV M
  19. Verum quo pacto inrestigabitur, quam habeane rationem serierum illarum A.
  20. potomarum Radices Ouadratica, Cubiex, _cc. ad seriem rocidem carum maximx
  21. aequalium: Ilic labor, hoc opus est. Nihil enim aliud deelt ad Circuli e Fllipleos
  22. quadraturam. VTCx PrOP. L2C. jam pacec, ee ex propoticionibus aliquor secucu-
  23. ris ulcerius patebit.
  24. P R OP, CZXVTTE
  25. Theorema.
  26. T errnatur leries squalium mulctata ferie Subsecundanorum:
  27. Residuorum Ouadrata, Cubi, Biquacrata, etc. ad seriem toridem co-
  28. rum maximo aequalium, racionem tabebune copnicam. Nempe
  29. R- VC
  30. VR = Vb
  31. IR = VC
  32. ec. ad
  33. Cubi.
  34. X. LdL+dtra. 3210+36VR - bV
  35. 1R = 2YCR L C) RVR - 3RYC + 3CYR = cVC
  36. cl. ad
  37. _c. ulque 2d
  38. VK- VR R = 2VRRFRRVR = 3kVR F 3RVR - R YR
  39. AVR ZAVR AR, ZAR FEAR ARVRS ARVK + Z ARVR = ZARVR
  40. Scriei
  41. (Primanorum
  42. Secundanorum 13
  43. Tercianorum
  44. Ouartanorum
  45. Ouintanorum
  46. Sextanorum
  47. Ouadrata.
  48. Lda LVaZaVat3ad aa
  49. S dB
  50. 2
  51. Lt lic demecps; nempe cam rarionem quam haDet lad uueros criangulares, lire
  52. agoresata numerorum Arichmetice proporcionalium (quousque sradus porolta
  53. iis pottulat) ab x continue unitace exelcenrium.
  54. 10 1

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 421. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0441?run=74