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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 796

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. 796
  2. V C FYS BL A HL
  3. PR OPOSITIO CZLVII
  4. parallela ponatur diamerrus DP, lancaeque A C. quaenis TK aequidi
  5. Aer, occurrens D Mmex in HI: hanicque CII, C F linea proportiona-
  6. x
  7. les lincis CD, C L: deindeper AI. P puncta parabola M M describacur
  8. Dico NO superticiem ductam
  9. in planum PX, corpus proterre
  10. aequale illi quod oricur ex ductu
  11. MN in alcicudinem OP.
  12. Demonstratio.
  13. TCANEUF quoECUnque reCtRMNO
  14. PZ, Parallela ad L. F. ve CTI ac
  15. GF, AcDC cst ad G L per hypoche-
  16. Em diurdendoigicur vrCFPadHIF, AIC
  17. GD eAt ad DL. ergo LDOHI rC-
  18. ctansulum equalerectagulo DGH Fs
  19. gulis NOt A. Pla si et adctum b ini OP vel in alcirudinem C LI X.
  20. 1. (111I
  21. et1 1
  22. PR OPOSTTTO CXLMIII
  23. Nirculo E DCinccripcum sr rectangulum DTK L pohtaq F. C dia-
  24. LAmCrrO qua DI, LK lacera ad angulos secetrectOS, POnaEUFPer C
  25. COnCInGenS C A, OCCUTreNS DL, TK lineisin A e B: deinde per IF. D
  26. puncta parabola delcribatur D N F. L habENSAXCM F C.
  27. Dico POsuperticiem ductam inplanum OR corpus proterre ae qua-
  28. Deilli quod oricur ex M N ducto m alcieudinem FC.
  29. Demonstratio.
  30. VCANEHE vE PriuS quOTCUngne ReCtX M. N
  31. OPOR parallela 2d F C. VE FF CR
  32. ad NTO, SCCD F T rectangulum est ad rectanou-
  33. um DOI; Scd vE F F ad NO, SC F F C rectan
  34. gulum quoque ad rectangulum NOR, veigicue
  35. DFI rectangulum ad rectangulum DOI, Sc
  36. P FC reccansulum est adrcctangulum NOR:
  37. ex PermUTandO VE P FC ad D FiI recrangulum
  38. screcrangulum NOR ad DOF rectangulum.
  39. aequantur aurem recrangula R F C, D F I, Fecran
  40. SulaisITHE NVOR, D OIquoque x qualia CunE, de
  41. quia. DOI reccanonlisd aequalia lune reccangula
  42. MOO recrangula MO Q. NO R aequalia sune.
  43. quare MD estad Na, VE GR ad OG: ec COn
  44. CAs. huius. FC, cE quale est plano M O, id est PQ ducro in planum CR. Quod erac demon.
  45. Arandum.
  46. Irculum AB C dux seceneae quidistances et requales A B, F. C; quibus
  47. cuius axis (IELC.
  48. colliciur quia veto AL E parabOta EA, rECtan BliIa a GUIOqUC M NOP aequalia sunc rectan.
  49. is.tmine. quale ost plario NYO dct0 in P. A. 11715.
  50. vercendo OM est ad NTM ve O R ad O R: recrangula igitur M NO R equalia
  51. sune receanoulis MO O R. ergo MN planum ducrum in alcicudinem RO GuC
  52. d LX C
  53. 10bldpto.
  54. ek0.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 796. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0853?run=74