Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 990

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: 0.91.

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

The machine reads it as

  1. TNGVLA CXLINDRTCA.
  2. PR OPOSITIO XLIII.
  3. Ine AB, C D contingentes circulum
  4. AL.C incerminiseance eu
  5. circulus balis est vnsulae AF LC cylin-
  6. drorecto decultatx, habencis alricudi-
  7. nem FL diantetto AC patc. Ponio
  8. HID circumdance circulum ACC, sic ve
  9. eius lacera in contactu bilecentur, pla
  10. nilq pertes per lincas polygoni axi pa-
  11. rallelis, qua concurrencia cum plano el.
  12. liprico vngulari AFC FOrMENEIR, K L.
  13. L.Ml, communes incerlectiones, secene
  14. vero sele muruo secundum rectas DI,
  15. HIK, CL, BN.
  16. Dicohxdras omnes DTRKH, HIRLC,
  17. CLMB, ingulam ambiences simul
  18. sumpras exclulis criangulis AB M, C DI
  19. aequari quadrato AC.
  20. Demonstratio.
  21. PSc enim in praecedenei demonstratum re-
  22. Loctarulo AC N aeguari reccitincum DHTEL.
  23. Ibidem octentum estrectangulo AC, NO aequari rectilincum GHIRL, d rectili-
  24. neo BO LM aequarirectangulum suPCE A C e AO; igicur cum rectangulis AC
  25. NC., AONO, AC AO aequetur quadrarum AC; eriam omnibus tiguris rectili-
  26. neis DFTKI, GiHKL, GBL. M simul sumpris xquatur quadratum AC. Ouod
  27. crac demonstrandum.
  28. PR OPOSITIO XLIV.
  29. AEx Cu bina vngula a cylindris rectis decusacx, quarum alticudi-
  30. nes, sinc balium circularium diameerispares, ee ip (x criam bales cir-
  31. culares a quales linc. Circa verumque aurem circulum polygona descri-
  32. bancur, sedinae qualium numero lacerum, circa vrum circulum exempli
  33. pracia polygonum decem larerum, circa alcerum verolacerum mille: pon
  34. nancur in Cuper plana per lacera polygonorum que axibus aequidistent,
  35. concurrencia cum planis ellipricis ongulas rerminancibus.
  36. Dico omnia plana unam ingulam ambiencia simul sumpea, aequalia
  37. esc planis simul lumpris alceram circumdancibus, si criangularia verim.
  38. QuC OMIETANEUT.
  39. Demonstratio.
  40. demde quocunque polysonoB6, CHI.
  41. La tnius. FiX demonaratis erim. constac congeriem planorum singulas vneulas ambien-
  42. um, dempriscriansulis xequalem ene quadraco circularis diamerri quae in balell
  43. onsule, extspocheti aurem onsularum bales, adeoque diameri balium aquales
  44. TuNE.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 990. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1047?run=74