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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 70

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. . 1 . t t 1. 1. 1 1
  2. P R O GR FSSIO N FS
  3. emonsratio.
  4. 217. Sexri.
  5. 16. SeX1
  6. similirer rectangula BCTK, _C D RL, aem incerse, quia eidem quadrato N,
  7. EX hyporhesitincx AB, NI. HTE lunc concinux proporcionales; icem B C, NY, YY:
  8. Leroocam rectangulum ABFTI quam rectangulum BC IR a Xequatur quadrare
  9. NI. ac proinde rqualia luncincer se rectangula; ergo ve AB ad b B C, SCIK adIII,
  10. aequalia lunc; igicur re B C ad CD, siC RBKI: acqui ex daris BC est ad CD, ve
  11. A P ad B C, hoc est, re octendi, sicur IR a LLL ergOR L, cstad TK, ve TK ad TIT.
  12. continux lunpropooalessu , R L. Quoderac demonttranaum.
  13. Ke votii
  14. X L LV.
  15. 3. Seriio
  16. continue proporrionaliu caaorum bales LInE in CoMCHua
  17. plosia: erum e alltlidires in conrinuald proportione.
  18. Demonstratio.
  19. EINE AB, BF, F C, GB LL, intupeF _ rectangUIA AB CD, BE DF, E O F H _C.
  20. in concinua analogia. Dico eriam C D, DF, EFTXC. ellecontinue proportiona
  21. les. Rectanguli enim ABC D proporcio ad rectansulum BF. DF, C CompOnIEUE ex
  22. rationibus AB ad BF, de CD ad DF: irem rectanguli BF DF proportio ad
  23. FC FHI rectangulum, componitur exracionibus B B ad F Ci ec DI ad FII: qua-
  24. re cum ex hypocheli rectangulorum AB CD, BF DF, L G F FI, xquales sive eedem
  25. PFOPOETIONES HME, CrunE quoquerationes AB ad BF, _ CD ad D F, simul sumpex
  26. aequales, sivc exdem cum rarionibus BF. ad E. C, _ D F ad FHI Simul Cumpeis. sune
  27. auTE ex hypochesi eciam aequales raciones AB ad B F, _ BR ad F. G; OuarCS ab
  28. aequalibusrationibus, nempe a composica exrationibus A B ad B F, _ C D ad DF.
  29. icemque a compolica ex rarionibus BF ad F. G, _ D F ad FHI, auferas xqualesra-
  30. ciones, AB ad BB, e BF ad P C; Pacet reliquas proporciones CD ad DF, _
  31. DF ad F FI Forc aequales: ve constae ex definicione compolicionis proporcionum.
  32. continue lunc igicur proportionales CD, DF, FHI. Simili dilcurlu cciam reliquae
  33. TTK, RM. XC. cum praecedencibus oandem concinuabunt rationem. ConstAE eryO
  34. quod propolicum exar demonstrare.
  35. Corollarium.
  36. Odem genere discursus, s rectangul2 A B C N, BF DN, F. GFN, eec. icemque
  37. pases AB, B P, F. C, exc. sine in concinua analogin, demonstrabimus eorum alci-
  38. cudines CNY, DN. F.NI, ec. concinuam quoque seruare analogiam.
  39. E R OPOSITIO ZXV
  40. Suantur denuo AB, BC, C D proporrionales, vei criam Ll
  41. (7. GFI; _LacIo L1D al L F, concinuetur quomodocue iu 1
  42. RR. P: _MIIMIMet TACO DC a FC producarur in L, NI, O: e rario CD
  43. adCitl, pergacim l,, t, clc.
  44. Aled eltato tofuteo d tenc edtui corteltluate tlanitla
  45. tOHCtIL.
  46. Demot
  47. t s. i . 1 . p . 1. 1. 1 . e 1 i u . 1 u. p 1 u t ie t. s 1 tt. 1 1 e 11 et

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 70. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0127?run=74