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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 711

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: 0.87.

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

The machine reads it as

  1. Corouattum Pltnuni
  2. Y A
  3. Lin quacuor parres aquales dicta lunc:
  4. excendere poteris ad qualuis lubdiviliories
  5. in parces aequales: moco sinc numero pares
  6. in veraquelinca, vbique enim ingenies fun-
  7. damentum discursus in demonstracione ex-
  8. plicaci. Imo ecram excendere poteris ad
  9. ipsum criangutum V ZY, ducti in lc, ad
  10. idem eriangulum ductum in se subcocrarie.
  11. nam, ve parec ex praecedencibus, ex Tola ad-
  12. dicione V Z Y in se lubconcrarie ducti tce
  13. aequaliras cum VX Y ducti in Ic.
  14. Corollarium secundum.
  15. Pera precium riderur hic adiungere
  16. mechodum reperiendi proporrionem
  17. incer parces prramidis diuix per incerualla
  18. rqualis alcicudinis. nam FC pars prramidis
  19. vel coni, haberracionem ad parcem prra-
  20. midis AGC, quam habet quaruordecim ad duo, sicur proposicione sexca huius do-
  21. cuimus: ad cognoscendam aurem racionem parris GD ad FR, Sic procedatur. Cu-
  22. macur excestus quo FC, excedic AG C, qui cst12. Deinde huic excesui adiiciacut
  23. ipium FC, (ect aurem FC 14.) resulcabic numerus 26. candem denuo 12. addancur,
  24. exsurgec. summa quasita scilicec 38. nam racio F C ad F R, cA vc 1a. 9438. Ouod A vI
  25. cerius pergere desieras, iildem insiste vestisiis. Raxionem enim LF, ad HIB, cadem
  26. praxireperies sumendo scilicet ve prius excesum quo F F supergt F C, qui cst 24. C ul
  27. adiunsacur iplum F P. quod ostendimus elle 38. relulcabic summa 62. huic summx
  28. addancur 12. X exlurger summa qua lica 7 4. nam racio FR, ad HIB, cA vc3B. 2d7 10
  29. Hlanc praxim si concingo obscruaveris, poceris in immensum in indasanda racione
  30. proeredi parcium pyxamidis aur coni, dummodo incerualsa eandem sorrianeur alcis
  31. rudinem. eess: ceti e
  32. 1tooti
  33. Corollarium vertium.
  34. Inccciam manifectum; pyramidem auc conum quicali rarione Pectus est ve aleit
  35. Lcudines continuo xequales sine incer Ce, non adinicrere racionem incommentura-
  36. Bilicacis incer suas parres hoc modo sectas. cum enim per numeros concinuo reperia
  37. cur carundem proxorrio, tirre semper parces eam incer se contineant rationem quani
  38. numeriix aper quos producuntur, incer (e lorclunEur.
  39. ROeOSITIO ViI
  40. cciangula vel rectangula eria eandem habeant alticudinem et bales
  41. Dicocorpus orcum ex ductu primi rectangulivel crianguli, in cerrium;
  42. aequale esse illi, quod exturgir ex ductumedy in le.
  43. v.
  44. Vahic de divitione linex A C vet F C.
  45. continue proportionales:
  46. stotet t t tue utut et s tstet sattet este st st tt

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 711. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0768?run=74