Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, 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: 0.89.

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

The machine reads it as

  1. imaginane hanc seriem in infinitum concinuari, possumus
  2. imasnari vlcimos terminos couergentes esse equales, quos
  3. terminos equales appellamus seriei termimationem
  4. PROP. VIP PROBLEMA.
  5. Oporret pradicta serici terminationem invenire
  6. T huic problemati laristat, oporret primo invenire
  7. quantirarem que eodem modo componitur ex termi
  8. nis conversentibus a, b. quo exi terminis conversencibus
  9. ca + bd- ad, bc be t ac hoc gurem Facile tir hoc modo: inue-
  10. niatur quancitas quae mulciplicata in a ec addica b mulcipli-
  11. caca in quanciearem dacam in eandem quantitatem Facie ac
  12. Si mulciplicaretur in caibd ad _E AddCrCTUX bC-bCHL2C Mys
  13. ciplicara etii in eande quanritarem daram m. Tc quanticas il
  14. la 2, _ proinde 2a bm squatur 20a if. 2bd - 2ad F mbc mberi mac
  15. d aequatione reducta invenitur = mac - mbe; quae quanti-
  16. ad - bd
  17. eas tiue mulciplicara in a X addita mb, sue mulciplicara in
  18. cait bd - ad e dddita mibc-mbeir mac efficir candem in veroque
  19. calu quancitarem nempe maac-mibas rf. mbad- mobd: X proin:
  20. cd- bd
  21. de predicta quantiras eodem modo componitur excerminis
  22. convergentibus a, b, quo componitur ex terminis conuer-
  23. Bentibus carsi bd ad, bc - ber ac arque a _ b quoniam LunE
  24. quantieares indeAnitae possunr esse quiliber torius seriei Eer-
  25. mini conuersences, modo termini conuorsences immediare
  26. SequenEeS SnE Catf bd - 2d _ bc = ber F 2c; _ PrOInde quanCICAS
  27. manemmbae is mbad-mbbd eodem modo coponirur ex quibul-
  28. cd. Bd
  29. libetrorius seriei terminis conuergentibus quo componicur
  30. exterminis conversentibus ab; ec isitur praedicta quancitas
  31. eodem

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 19. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0027?run=74