Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 157

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: 0.77.

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

The machine reads it as

  1. 2n
  2. InE a
  3. prine
  4. rTam
  5. B,
  6. p.
  7. Para
  8. e
  9. baralle
  10. ata
  11. net
  12. pun
  13. 1n1.
  14. EEOM F FRLC, A.
  15. Corollarium.
  16. anes Tuerine propolux binae. velplures clborum proprectiones, clairaltem
  17. ingulis cuborum prosrestionibus aequalia paralle lepipeda conttiruaneur.
  18. LL0C031L 10 L. 2V1.
  19. Encurca, l aquales cuborum progressiones rationum dissimi-
  20. cum dissimilium, cognolcerur carum Propolcoe il, l Perhlale plopolcionem
  21. lium.
  22. Dicoleriem cubicam AK, ad seriem cubieam HTR, rationem habere
  23. compolucam, ex ratione peu quadcallAF, ad primum quadracum HIO;
  24. ee ratione sericirationis AB primxe, ad quarram DF, ad Periem rationis
  25. HI, prima, ad quarcara M N.
  26. Demonstratio.
  27. Darallelexipedum Factum super quadrato AB, in alcicudine linex seriei raclonis
  28. AB ad DF, per praecedenrem Tericicubicae AR, cricaequale: Amilicer paral.
  29. lelexipedum super quadraco FI J, in alcicudine linex serici rationis HF ad MNT, se
  30. nei cubicae FTR aequale est. Ouare cuim serios cubicx ponaneur aequales, dicta quo - 2 3g. toindo
  31. que paralle lepipeda aequalia erunc; ergo reciprocam habene balium ex aaleicudinum cimi.
  32. ationem, hoc esthabenc rarionem compositam ex racionibus balium e alcirudinu:
  33. Ouare _ series cuBrCE AR _ HIR illis sequales, rationem habene conipositam ex
  34. actse dictarum alcicudinum, hoc eA exratione serici AB, D F, exc. ad leriem III.
  35. AN, ec. ec exrarione balium; hoc est ex ratione quadrati AF. ad quadrarum HIO.
  36. eod erat demonctrandu.
  37. eROPOSITTO CLXVII.
  38. Aca Cic quadralotum progressio, balibus in directum polieis; quae
  39. cerminum lonsiuduris habeat IE. de iuxea, 1zi. huius inscripea sic
  40. criangulo AH; compleco aucem rectangulo A. M, producanturlacera
  41. quadratorum in N, O, P, _c. e in H, l. L. NC.
  42. etCB
  43. etin

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 157. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0214?run=74