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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 335

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: 0.83.

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

The machine reads it as

  1. sene
  2. de
  3. +61
  4. O
  5. EL LIP(STS.
  6. P R O POST F TOLC VIXIXLV di
  7. TIrculum AB C cuius diamerri (c decullant ad recos, Contingat
  8. sin B linca B F: dein per A e C puncta essiplis actloatur contin-
  9. gensB F lineam in E, cuius una c diametris sic AC. intC L D, auca-
  10. TUE Ex A SCCANS AL, X per FagacUT F FT; paFaIlela BF, OCCUTTCHS CIAPIE
  11. in I. Tum per A X l ducaehir recta AI. eoncinsac aurem circulum recta
  12. MIN in MI, parallela Secanti AF, _ ox M ducacur HI O, parallela tansen-
  13. ei BE, occurrens ellipsiin P; Ponacurq; pex P, recex B F. a quidittans P R,
  14. secans F H lineam in R VI
  15. Dico PR lineam, concingere ellipsim in P.
  16. Demonstratio
  17. ∞BIS
  18. PFCanCeS A E A TipISD BDR
  19. Doccurrane in G e L. Deinde cui
  20. FFI OcCuErAE ipE BC in T)5 ex
  21. cangenci in N, _ rOCtADP. In R.
  22. SIMILIECE NIO OCCUEEAE ipA AF
  23. in V, _C AL in S, _ D F in O.
  24. de CD in X. Omniam ACD,
  25. AL D criangula, candem habenE
  26. basim AD, SIINEqVC FT, KI
  27. requales, crunceriangulab AC D.
  28. AL. D incer caldem parallelaS.
  29. ste
  30. Rursum cum MO lincaxequidister FK, crune V X, S Mhex aequales; clt vero
  31. d MX icerum c ipA P O aqualis; ergo e reliqua M V relique H S aequalis est: cClavins
  32. ledrectae MV aequatur linea N F, et PS, est aequalis RI, isicur _ N F, R I lincC ad 40. 1.
  33. sunc incer se aequales: CA vero _ FT ipsI RI aqualis, isicur NY, RR aquales
  34. TunE. Sed, quia MIN cans enS CadicEOTa exera circulum, N P maior est quam FT.
  35. hocest quam R I. ergo _ R R maior est quam R I. erso punctum R, cadic exera
  36. ellipsm. eodem modo sicam suBra quam InEra MO, ParaIIC lE du caneur quorcuque.
  37. octendentur omnia puncta rectae PR, cadere exera ellipum precer punctum P, re-
  38. cta ixitur PR, tanget elliplim. Ouoderat demonstrandum.
  39. P R O. POSITIO CLZZV.
  40. Sco ABC ellipsisaris AC vecunque productus in D, ductaqu ex D
  41. slinea D B, quae ellipsim contingat in B PonatuT SCCanS AlECTADF, Oc
  42. currens ellipliin E. X F: demissis deinde F. F ex B, B, FnormalibusF C, BIL,
  43. F. I ad axem AC; IUNGANEUF F HI, FTI.
  44. DicOFOH, E. LHL criansula esse limilia.
  45. Demonstratio.
  46. aryrtuius
  47. ponstra
  48. AR C, occurrens rectis FC, BII, F Lin
  49. RP MI, duCANEUFAUTeM FeCtR MIFT, KTI.
  50. FFI, FHI: Cum isieuE SE d ve F C+ ad F I
  51. (hoc est ve GD ad ID,) SIC RG ad MI,
  52. DATCE MK productam convenire in D: est
  53. aucemC D I contingens, igIEuF TIRO.
  54. FTMT criangula Similia TUnC. quare vE
  55. RC ad MT, sic HO ad HTT: led est ve
  56. RG adNL, AIC F G ad FL, igItUFVE FO
  57. 2d P. P, Sic H C est ad F L: lunc aurem an.
  58. pec e mantecio ceterau eucus

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 335. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0392?run=74