Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 852

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: 0.85.

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

The machine reads it as

  1. DYOTYS ELAA
  2. Demonstratio.
  3. FCII CB EqUalES PONAnEUE NMI, quas C A diameter bilecet in C, rectis au-
  4. cem B F aequalesfIANE NY O, MI K, CTUINEIGICUE PET PEXCCdEMEEM NCM, OR
  5. Etis BE, reCR GFI, NIK aequales sunC MMcer se; ablacis igieur vel addiris communi.
  6. buS MFT, relique OM, ITK aeguateslunE. Sed M C dimidix ponuneur iplarum CB.
  7. id est ex constr. plarum FTI; isieur d HIK dimidixe lunc TII: quare cum L RK li-
  8. nea dinidens III rectas bifariam, vera sic parabola, e TTIETAHSLACX IM NM veram
  9. quoque producane parabolam, pater II P. L vircualem eAle parabolam.
  10. Abeane circuli duo conceniet Communem diameeralem DF: et
  11. Lex D reCtX PONantuF D B L. Acurrences circulominori in B, ma-
  12. iori in L Punctis, per que rectae ducancur F. C Nnormales ad DFdiame-
  13. merrum, C occMtant in O: rectae aurem DE cransterantur in F, GR,
  14. verx ac Formales parabolx. quoniam eam GFI quam MIK linca xquales lunE re-
  15. PROPOSITIO CCXXIX.
  16. DicoLL Parave
  17. _ D, BE. transterantur in GHI, K I.
  18. dene raldate.
  19. P
  20. Demonstratio.
  21. ECEHEUE FFF Bilactam in L L. quoniam
  22. Sicur D P. lineis a GHIaleS CUNE E R nOrIMA
  23. les ad D F, punCTA DR K ad a veram fUINE p2
  24. rabolam. quia vero tam OFL. KI, quam FI L.
  25. ecta XqualEStME, EOLE G K in L. bile.
  26. eta sunc; adeoque dc OK ad GK, HC O L
  27. elC Ad GT: quare L. L puncta ad veram quo-
  28. QuE lune parabOLAMI. VIceriuS POnanEuE Pel
  29. Ferancur aurem amidix rectarum CK siuc
  30. DL in GMN PatetbMIO veram es(C Pa
  31. dimidiae iplarum a GuaLES TaNE. (Cd eEOP, L HI
  32. quoque per constructionem aequancur; reli-
  33. queigitur Ci bl. M l agtales lunt; unde
  34. incelligantur ONheri aequales MOrecust
  35. MPN rectansula agua lune rectangulis
  36. OTTK, id est per hyporhesim DBF. quia
  37. vero rectanrula DB F egualia sune quadea-
  38. eoconringencis DM, rectangula DB,F 2
  39. deoque _ MPN, aequalia sunc: unde cum
  40. NMs ad veram sinc parabolam; puntela quoque PP veram c producune parabolam
  41. lame la aumas rera quoque octenla c parabola, constaE HL
  42. puncta aee rablatet Panautato
  43. D e F Contingentes, DR, F T, quas in R
  44. ec I lCCEEqUEHIS R L paraIlelA D F, ErANS.
  45. rabolam. Simiticer dimidix lincarum FIL
  46. cransferantur in PO. Quoniam igieur MO
  47. aequales sune dimidiis CK, rectC NIO, GL
  48. isicur eum dimidie linearur LLL Causta LO Formalem constieunne parabo.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 852. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0909?run=74