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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1147

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. AADRATDRA CIREVLI
  2. OFEB ductu in se aquecur prilimalt d Vul N OBM, ee alcicudinc A L d OFLB
  3. ducluim in GOBI aequare Hl Corpori habenci criangulum aequale Agure OLLB,
  4. (quam ad rectilineam reduximus 2) ex elcicudine GO, manifeltum cI EOEUM COFDUS a Part. S
  5. ex ductu plani O F P. L In sciplum reductum ese ad Colidum baleos figurx rectilince parab.
  6. e alcirudinis nOcx. quod praestare oporruit.
  7. PROP OSI FI
  8. Elumpca figuta popontionis 50.
  9. O
  10. L X V
  11. Dicoproporcienem qua csincerratione solidi ex plano D L. B)
  12. patabolico in se ducto ad Tolidum ex plano parabolico Fil a d ducto in
  13. Le, ccincer rarioneht tondi ex ductu plani F dou in se ducti ad Colidum ex
  14. ductu plant patabolet Lno B in sciplumnoram ese.
  15. Demonstratio.
  16. DRCCedenri enim propolionE reducta lurE SinGUIA CA COrPOTa adt prilmata qux ba-
  17. sim habene rectilineam e alcieudinem nocam. ledinter quacuor calia corpora pro
  18. portionalicas noca elt. Per ca qux docuimus libro de proporcionalicaeibus B. IBItuF CF. B Prop 17.
  19. ium proporcionalicas incer corpora illis aequalia noca exit. Duod tuir demonctrandu.
  20. 05
  21. F1O LXVI
  22. Elumpea cadem Houra.
  23. Vi
  24. LL Dicoproporcichem quae est incer rationem Colidi ex plano DE B i
  25. ducto in sciplum subalcene ad Colidum quod sic ex Cuperticieis L. d ol in (e
  26. subalterne duct a, e incer rationem Colidi genic ex ductu subalcerno in se
  27. plani Fdouad loluu quod oricur ex ductu plani B L. uo lubalcerne in
  28. Demonstratio.
  29. Demonstrarum est proposic. 61. Huus quadraturx candem esse propertionalicare
  30. incer corpora que oriuntur ex planis pE Bi, F d Fd5vde alctis
  31. d incellolida, que tiunc exii(dem planis ductis in se ubalcerne. led propolciou pla-
  32. cedenctoltensum clt, nocam esse proporrionalicacem incer corpora quae ortene es
  33. Planis p E B i, F + sd, Le 5b, _ B F no in se ductis. Igicur noca cric proporcioiali-
  34. ias quae resulcar in corporibus que tiunc ex ductu carum dem superticierum in se sub-
  35. alcerne. Duod tuic demonstrandum.
  36. D LXV
  37. X
  38. DROPOS
  39. TInE A e B verriceS PaTAVOTAT LMBAITeKHC POrCatE aGuatI
  40. le, Molam elle.
  41. Deductisque ordinarim BD, A F ad axem AB, super A B dolcribacur
  42. circulus AC B, _ constica oaal 6L, M.
  43. Dicorectangulum C F. LadM FO, eandem habere cationem quam
  44. Demon-
  45. trabet C a P L. adt Bt.
  46. S . i . . . e 1 e 1 te 1 . . t s . . te ale n pint

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1147. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1204?run=74