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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 76

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. 1. 1. 1. 1. 11
  2. DR OGR ESSION ES
  3. versonem rationis ve A G es ad AF, sic BF ad BFT: _ permurando ve AC ad
  4. B F, hoc CA (lCuEOstenaI) M AB du BC, sic AF ad B HI. ConltaCCrSOPEOPOU-
  5. tionisvericas.
  6. P R ODOSTFIO
  7. XL LIV.
  8. Intin continua altate sa AB, CB, DB, de incer AB, CB media (IC
  9. A EB; inter C B veto _ DB lr media F B; acinde inter L B, C B, ac
  10. CB, FB medix sine B, HB: Denigue inter (B, CB, _ CB, FIB
  11. Dico rationem AC ad CD, duplicatam esse rationis F C ad CF,
  12. quadruplicatam aurem rationis C. C. ad C HI, e octuplicatam rationis
  13. IC ad CIE: acque ica in intinicum.
  14. sine medix IB, ILB. X Sic deinceps.
  15. denapto
  16. Vm AB, CB, DB unt concinux proporrionales, exit A C ad CD a ratio ea
  17. Lidem cum ratione A B al C B. Icem quia concinuxiunt AB, L. B: C b, Cl
  18. ratio AF. ad F C eadem cunt rarione AB ad L B: d quia inter eres concinuas
  19. 1bidu
  20. AB. C. B. DB media (unt B, EB, Patcec clemens AB, L.B, C6, Fb, 1B
  21. omnes elle concinué proporconales: quare rario AB ad C B; id elt veram olccH aI Fa-
  22. rio AC ad CD, duplicaca eAt rarionis AB ad B B; id eltreoltendi, LattonIs HL
  23. ad F. C. quid aucem concinux proportionales sune AB, EB, CB; LB, ccam ctaI
  24. D2. Anins. A F, F C, C F CONFINUA: CFGOVE A F, ad FC; sC R C ad OFs ergoratio AC 2d
  25. CD, Cciam duplicata est ractonis B. C ad C F; quod erar primum. Eodem dileur-
  26. rendimodo demonstrabimus, rarionem F C ad CF, duplicatam esse racionis GC
  27. ad CHI:. adeoque rationem AC ad CD, quadruplicatam esseracionis C C ad C FI
  28. denique ostendemus eriam limili rarioeinarione, rationem GC ad CFT, duplica-
  29. eam esserationis TC ad CK. Vnde manifestum est rarionem AC ad CD, cius-
  30. dem octuplicatam cNC. Dux eranc demonttranda.
  31. P R OPOSTTIO ZZXV
  32. Acam lineam lecale in quoruis continue propotctates, lecundum
  33. constabtde. Mbtrdisoari.
  34. dacam racioe.
  35. Aca Cc linc.
  36. diui
  37. denda (CuE PO.
  38. Aulac PrOPOM
  39. cio, uGdacuor concinuas, secundum racionem dacam C D ad V B. GOKCHECLI
  40. coctes Talio CD ad DB, quoc concinuas numero desideras in linca data AB,
  41. 10 dent. NempC CD. DP., PF, F. C: cum divide lineam c AB, Sicuc divila cst linea C C:
  42. in plultis HL. I. K. Dieo AB, eAc diuilam prour exisic propolicio: patet demonstra,
  43. contructione.
  44. eOPOSITIO LLLI
  45. acarum lincarum alceram ira lecare, veparces linex sectx, cum in se.
  46. ta, cincin concinua analoxia.
  47. Con
  48. u s se s e ete e e u e eta ese s e te t et te u e t e s e s e 1 1e 1 1e u t e si ls

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 76. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0133?run=74