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Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi, fol. 14

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. EOHELRMATTONE
  2. Constructio Demonstralho.
  3. Ontestuantur rectx C FL, C Lad arigulos rectos, tiacque ve B, ad A, ita O L ad
  4. ON: ex punctis aurem L. Sc NVerisantur I. R de NVM aquales quidem aue
  5. proportionaleslineis A de B, Parallela vero ad G FI, crune per primam huiusR, M
  6. puncta ad lyperbolam cuius alymprori lintHIC, CI. denique hac ve Fad A, ita
  7. CI. ad CI, erectaque 1O aequali iphF, aut certe qua ad K L. candem racionem
  8. habeat quam Fad R C, Par allela aurem lic ad CFI, erit ex O punctum ad eandem
  9. uyperbolam.
  10. Dicoh superkcies kN commensurabilis est superticiei N O, quod F sit in ali-
  11. qua serierum in quatora series A, B, C, D consticui porest repars. Si vero luperti.
  12. cies RN, NOincommensirabiles line, in illo catu linea F innulla Perierum in-
  13. veniri poterit in qua sic series A, B, C, D re pars. Ouod quidem ex pexcedentibus
  14. est manifectum. Demonstrauimus enim Prop. 7. cum CuperticiesRN, NVO com
  15. mensurabiles unt, rectas R P.M NV ese in aliqua scrierum in qua possit exhiberit.
  16. cum vero dua illa superticies incommen surabiles sunt interse, tuc eriam octen-
  17. Tum est Prop. 6. quod magnitudo OInumquam possic exhiberi in vilâ serierum
  18. quae seriem A, B, C, D contincar. Dedimus antem praxim Prop. 8. X in COroII.
  19. secundo quomodo investigari debeat an Cuperkcies KN commensurabilis sit
  20. SuperticiciN O. determinatu est isitur an F. sit in vila lerie reperibile in qua erie
  21. astignare Teriem A, B, C, D, quod erat taciendum.
  22. Scholion.
  23. Busiracior Cetre dignum videtur, quod dat a proorestione Ceriei A, B, C, D,
  24. magnicue alguat, quod ea quantitas talis esse pos: Venelciogubia
  25. ro, exclula cirnon eus alerie A, B, C, D. Sed ve ean Cu
  26. lerie inuemripolu, qualcemBCDcopiccaur paste. Nalcc
  27. A e B, non lolum altiguat Pentunem lerle Facios H d b.lel a in lcrie rarionisi
  28. cuius rario A ad Berit duplicaca picaca, Cencaplicata, MCcpal cene
  29. infinitum per Prop. 5. huras. Has CL A ec B, _c B, 8 C, Mcerteri poltunt C dc HI
  30. medim proportionales, cuC ana LCrleS OrICtUF A, G B, TI, C. L Drationis Aad C
  31. cuinsrarionis ratio A ad B crit aupircata: irem interseri porsunt inter A abuua
  32. media R ex L, ite incet Ba C aux medix M e NV, _ tunc oricturenes H, a, L.
  33. ,M. D. CMC. rarionis A ad K, cuiusratio A ad B exix erip iaas Mntinirum
  34. acgC

Cite

Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi, fol. 14. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815206918:0019?run=74