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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 427

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: 0.89.

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

The machine reads it as

  1. trea TB eAt in diametro a BD. RurUM CrIGAEUT CX A dIAMCFCF A P OCCUEreNS A Ex endem
  2. F. D F parabola in B: de IC rectae in R. duCAEUFGUCPeF F, ex Y, linca PF, OcCUF.
  3. rens parabolX E D F in F, _ iungantur puncta CF. Ouoniam A B, K D, rectR D2.
  4. raHela luNC, ve AT ad DP, SIC FL cAt ad KI: Sed ve AF ad DF, Sic B AD est ad
  5. DC(quia TA, ID, LC proportionales (UNC) _ ve BI ad RI, lic F K est ad R F, quia
  6. E. L, KE, FI provortionales TunE; igieUE VE AD est ad D C, SICFK cA ad XF, 2.
  7. deoque FC linca aequidictar RD: vIcerIUIS per C _ HI, policis diamCtrIS IM,
  8. NYO, producatur CFI linea doncC F C OECUTEAE in O. CFIE IGIEUE DE ADC rC
  9. De pro-
  10. pressionibus.
  11. ctangulum ad rectangulum ANC, c hc BD linea ad lineam HN: scd vc AD C. C47 huino.
  12. rectangulum ad rectangulum AN C, (hoC CAVE F K F rectangulum ad rectanou-
  13. Ium F.OF,) SIC KD linca quoque est ad lineam HIO; igicur ve BD ad FTHY, sC
  14. KD est ad OFI; e permucando inverrendo ve BD ad BD, Sic OTI cA ad HIVY,
  15. hoc estF 9 ad OC, hoc cA M C ad GL, hoc eA P R ad R P.
  16. Componendoigitur, inveneo axe D B ParabolX B D F, cum dara sine punet a D
  17. e B, acta pet B contingence BI, agaCUE per D quoque contingens parabolam
  18. EDF in puncto D, secans AB C, in A et C: convenictilla cum BI (veostendi)
  19. in puncto quouis I: dacaisitur lune puncta I, A, C. Criganeur ergO ex A de C, dia-
  20. meeri AF, CF occurrences parabola ED B, in punctis P. & F: ductaque ex Iper
  21. R linca occurret iIla recrE C F in P, (veostensum est) BD linca in R. vnde ec
  22. K puncrum quoque datum est. HaC IGItUEVE R D ad BD, SC F R ad R A, vel FO
  23. ad OC, ducacurque recca LR vel IO. Patet per resolurionem, in illd esse punera
  24. incerlectionum B e C. isicur exhibuimus, _C. Ouod eracfaciendum.
  25. PR OPOSITIO CLI.
  26. Sco AB C patabolX aAIs BD, de oedinacim ad illum POSITA AC, per
  27. si veto delcribatur palabola AP. F cuius vercex (IC A, X A C linea
  28. ContingenS; OCCUITaF quoque A F F parabola, parabola AB C In F, 0.
  29. POrret E punctum incerlectionis exhibere.
  30. Constructio ex demonstratio.
  31. Accum sic quod petitur: exectaque ex C diamerer
  32. CFT OCCUTTAE paTabOIX AF F in F; duCaTurque
  33. F R, OcCurrenS B D linex in MI: dein peF P ECCEX PO
  34. NANEUE AR HI, IE R; _ AF quidem OECUEEAE FC
  35. in FI, TK vero aequidister axI B D. CFIEIgIEUEVE ADC
  36. rectangulum ad recrangulum AR C, sic BD linca ad
  37. lincam E R: sed vE AD C. rectangulum adreccansu-
  38. Ium AKC, hOC CADE AM F rectangulum adrectan-
  39. sulum ATF, EC MC linca ad lincam L P: igituE VEBD
  40. ad FK, SiC M G est ad IF; _ permutando ve BL
  41. ad MIG, sIC F K Cst ad TF, hoc cst CHI cA ad FFI.
  42. lsicur per compositionem cum AC, BD lincxe et

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 427. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0484?run=74