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Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi, fol. 13

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: 0.86.

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

The machine reads it as

  1. i d
  2. tio EMT ad FTO MulEipLICCEFALIOHEMP O ad FTC. Sedrursus numeris erAL ex-
  3. Ponibile quories rario DHaNO mulciplicarctrationem I. MadIIC; igitur
  4. et numeris exponi pocest, quloriesrario D E ad NO mulciplicer rationem PO ad
  5. FI C. itaq; curatio N Oad F C aequalis sir rationi P Oad HI C ex suppolico, eriam
  6. innumeris exponetur, quocies ratio D F ad F C mulciplicer rationem PO ad
  7. TTC. isicur exponi pocelt per numeros, quories superficies DC concincactu-
  8. perticiem OHI, per seccam huius; ac propcerea superticies OFI meritursu-
  9. perticiem D C. Jam reto quoniam CuperticiesFR, KL, LO aequales Punt An-
  10. sule superticiei D C Pel tertiam huius, cum ex conser. ratio D P. ad F C continua-
  11. ea sic perrationes FC ad LK, IK adTM, IM ad P O; eriam ergo superticies
  12. OII mecietur toram superticiem O P: Sed ex superficies OHI meritur seiplam
  13. igicur superticies OFC, toram luperticiem OII mecitur. Ouod crat primo de-
  14. Ouod autem superhcies O Ehemaxima mensura superhcierum D G, G FI, SC
  15. quidem ostendetur. Si enim luperticies OTI non lic maxima communis mensu-
  16. rasponacur si fieri porest maior luperficies SFI, determinata per lineam SR
  17. alnI BEoco B A parallelam, qua veramque commensuret. Tortur superficies HIS
  18. aliquories reperica commentutat superticiem C TI, vei ex luperticiem DG. led d
  19. De haperticies aliguoties repetita metiebatur superticiem GL per secundam
  20. huius, (nam ex constr. ratio D L ad F C aliquocies continuata, Faciebat rationem
  21. FC+ adL M) igitur ex FTS superficies commensurat superticiem CT. sed d
  22. cadlem superficies FIS mensurabat superticiem CFT, igitur eade superticios IIS
  23. aliguoties repetita, menlurar superhciem M II. Sed ratio L M ad HI C aliquories
  24. repelica consticuebatrationem D F ad H O, igitur per secundam huius, TupCrA-
  25. AciesFIS aliquocies repecita mensurat superticiem DO. Sed eadem superticies
  26. HS mensurabat quoque corant superticiem D C; igitur etiam superkicies FIS
  27. memturabie superticiem N C, Hoc eA ex constr. et secunda huius, superticiem
  28. EIO.naior minorem, quod est ab surdum. Non igitur alia quam FIO Superhcies
  29. est communis maxima menlura supertcierum DG, GFI, quod secundo locode.
  30. monstrandum.
  31. Monleracum opoccuu.
  32. Corollarium primum.
  33. Exhis Facile intelliges idem ele pCterE MEn SuTAMI MTAMIMTAI CBMMUHEM I-
  34. perticierum D Ed CTI, quodl pecererarionem aliquam L V. 8. ad LLC, cl-
  35. ius ratiOneS D R ad F C, _ LC ad FIC sint aliquories mulciplicata.
  36. Corollarium secundum.
  37. Iinc eriam manifectum est, Gusa uratio nulla reperiri possitper alcernam il.
  38. lam rationum detractionen cuius veraque rario D P ad F C, _ F C+ ad TIC
  39. sc aliquories mulciplicala, lpexticies D C C FPere incommensurabiles.
  40. OS1
  41. X
  42. Acâ serie progrestionis A, B, C, D, de quauis magnitudinc F, quxe
  43. non sic in seric rarionis A, B, C, D. dererminandum est an in vIla
  44. Ceriepotire C eBC.
  45. Constructio
  46. m

Cite

Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi, fol. 13. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815206918:0018?run=74