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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 409

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: 0.73.

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

The machine reads it as

  1. n
  2. PIA RCACBSOMLIAS
  3. 109
  4. ad HE, quia vero, Y G, IF (id est IP) _ LIF proPOrtionaleS TuNE, VE FFF ad L L. L A2. Bulas
  5. cuncu, ad LI. rria cum PC id est P C, SCCUCAM CMMI TCFEIA, IGIEUE VE A D ad DIF;
  6. esit ad Ii cis Ociod etacdemonstranduni.
  7. Occurrariam diameror FF C rectae A B in L iner2 paFaBOIaCMLIBICUEVEA IL 2d
  8. siuc IE: Pema ad sccundam, sic TII cum IF vel IF, id cA HIF, penna cum le-
  9. AD, HC HTP at B D; id oA 3dIYY, _ rE AD ad TTD; sic FTI ad TF, sed ve HITad B ibid
  10. Sirver AD ad DTI, liC FIV MM Al L. C+
  11. TE primaad secundam (quia HIL, Ifi. TC oPoates IAC) hC Hl. ett ad L C fpr
  12. Est HXC Arehmedis prop. 4. Ae quadracura ParabolL aliter demonsteaca.
  13. eressionit
  14. etd = b. 2FL 3y 01303 Corollarium.
  15. Tlic segulciir lincam AIL A LO, PatIOHE HberC duplicatam eius quam ha-
  16. ABeC HFi 2d F C: cum enim sinE COncinUIR proportionaleS HLL, LL, C+ L, CHL dLX 9B
  17. Arabolam AB C cirins diaM CFOFB L, CMCMIE AbLI B IIIVA VL, qua
  18. haius
  19. 1. DCPr
  20. rtiniu
  21. ratioHL ait LO, duplicacarationis HII ad PL, id cst. TTF ad F G.
  22. 20BOS
  23. divisa in F _ G, ve BF; BG; BF I ROPOrtionales, demitrantur
  24. diamerri FH, CI, F. A dictat ex A ad BD ordinacim linca AC, qua
  25. F FF CI rectus secer in Y d L a8a per ea CM occurren
  26. EI, Ct diarpeeris in M _t set i
  27. Dicorationem L.M a Lao 1, alt 1NL.
  28. 23gemil
  29. it cit
  30. oloctis.
  31. l osacto.
  32. leti
  33. d:dI
  34. LuZerC
  35. cacaitihabecratloneni; L O A OII (CuM L F, FO, LEIS proportionales RInE) e +2 huius.
  36. id es per pexcedencem F _t ad M FT; Similicer & K C+ ad CrI, duplicacam haber
  37. eius quam habec RN ad N F, isicur e ratio LMadMHE, duplicaca est tacionis
  38. K N ad NI. Ouod crac demonstrandum.
  39. = et2d22t E1
  40. IIdCM DOMEI ANCACML HINCA A B LCCANS F L lineam InO.
  41. LDicoMHLL F rectangulum esse equale rectanoulo AIL FO.
  42. Demonstratio.
  43. Voniam BF, BO, B P linex continux proporrionales sunc, diamétri quoqué
  44. LFH, OT, E A in concintia (uNEE an 3IOZ IA. LVALC FacIO AP 2d F FL, id est L. F adF F 17.
  45. EFI, duplicaca est rationis AP ad CI, id est R C+ ad G+T; sed L F 2d F FF, duoli- huins.
  46. romam talioL alCaaapiCaca cierarionis L. M 2a MHL, quam Li L ad
  47. LFO, CFIEVET, M adMTT, SICF P ad FO: quare rectangulum MIILiFi aequale
  48. estrectansulo M L F O. Quod erut demonstrandum.
  49. FEE
  50. PR O
  51. 6 oOrag
  52. 111
  53. eaeoec

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 409. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0466?run=74