Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 584

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. 2LLCLLBLA.
  2. Eperbolam ABC, cuius cenerum D, Subrendarrecta AC, divila
  3. bitariam a diamerro DF; imegue A B, CB, ac diuilis bitariam
  4. in F _ C; demitrantur DL, s, Ocurrences sectioni in HI ee l, iungan-
  5. Dicorriangula AH B, B IC, xqualia eNe.
  6. Demonstratio.
  7. DOnatuE ex F ordinatim FTF, ad diamerrum hyper-
  8. bolx DF. Occurrens lectioni in MI, e D C lince in
  9. T: quoniam AB, BC in F X C, dinila lune bitariam,
  10. FC aequidistabit A C, adeogue _ ipE FII cum IIM.
  11. et A C ordinacim posiex sinc ad diameerum D F: qui2
  12. vero AC in F dinita es bitarIAM, CFIE _ F C in HI; a-
  13. deoque _ HIM in L bitariam quoque divila. Sed e
  14. FTI in L, bissecta est. quia FC in N bisectx aequidictat;
  15. luncigitur aquales lincae HIM, FTI, et puncta M e L
  16. eadem: quare DF, D C diamerti in FT _E ML, prOPOr-
  17. cionalicer sune divisx. rursus cum D F NV, D ON crian.
  18. gula, icem E BN, G BN aequalia sinc, reliqua oriam
  19. DFB. DOB crianoula incer (e Xqualia sunc. Vede cum
  20. DF, D C in EI d M, proportiohalicer sine diuila, ae
  21. qualia quoque sune rriangula D ETB, DIB; adeoque e
  22. reliqua F HI B, BM Ci: PacCCS _ illorum dupla AFIB, BM C crianglila sinter
  23. le aequari: d etaldemoaum lsi
  24. Ecs a C, duxe parallelae AD, BC, innganturque
  25. Bedciangula ntaaa s MIcripea, esse incer se aequalia.
  26. s
  27. Demonstratio.
  28. I_ CeHIro E dueantur diametri PF,
  29. F C. diuidentes rectas AB, C D bita
  30. riam in F e C occurrences hyperbole
  31. in H ex I, e iungancur AHI, HIB, CH
  32. ID, cruncha ceriangulaa maxima segme,
  33. eis AHB, CID inscripta. dueta dein
  34. diamecro F. R, qux bifariam parciaruere.
  35. atam AD, Ponatur FC, eric illa paral.
  36. sela linex AD, cum AB, D C in F X 6,
  37. dinicae sine bitariam, constimuexque sinE
  38. inter parallelas AD, BC. ex FTigirur du-
  39. catue ordinacim HM ad diamecrum ER.
  40. ostendetur, Ve in priore propolcione il.
  41. lam producam sccurrere communiin.
  42. proporcionalicer elle dimlas. Lunctisigitur LB, LC, BN, CN; cum FG; HIL BC
  43. agordistene; _e in E, M, N bitariam sinc divisx, aequalia sunc criangula FBN.
  44. aqualia:
  45. R OPOSTTIO CIV.
  46. Furque AII, IIB; BI, CL.
  47. PROPOSITTO CV.
  48. CD:
  49. BHcLI
  50. ol3
  51. dis.
  52. es
  53. nar
  54. ACIM c
  55. cerlectioni P: adeoque FG, FIL LGOIAMLAIC, d LE, L G diameErOS in YY e L
  56. CC, irem N P. B, H L. C: vnde rtu L L. D L. CC crransula quoque lune
  57. oao oMo121510171o19303127 33 30

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 584. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0641?run=74