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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1123

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: 0.90.

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

The machine reads it as

  1. QV ADR A TVR A
  2. CIRCVLI
  3. in a cories concincat rationem pacallelepipedorum ex I in NV, _R in 9, 2d paral-
  4. selexipeda qua Hunc ex L. in P, e Min O, quoriestaec ipsa racio continec rationem
  5. parallelexipedorum ex A in H, et B in F, ad paralle lepipeda orca ex ductu plani C in
  6. C, e D In FI. Duod Fuic demonstrandum.
  7. Corollarium.
  8. TEmalciplicentur MoroIX demonstrationes, propolitionem pexesentem exrendi
  9. voluntus ad casusoes qui alcicudines horum parallelexipedorum bifariam, vel
  10. quadritariam, vel lecundum quamcunque rationem in parces ae quales diuiderenc, ad
  11. mulciplicanda rectangula gua in aduerlae fgurx rectangula ducta mulciplicareHE
  12. quemcunque numerum parallelepipedorum: nam discurlus demonstrationis vnus de
  13. idem semper occurric, reiproposicione 8. huius est demonstracum.
  14. P R OP OS I FIO XL
  15. Dico rarichrem Colidi ex ductu plani parabolici R S in planum pa-
  16. rabolicum X Z, ae losidum orcum ex duccu plani parabolici concaui Y V
  17. in concaltumr Patavolicum Z e, cories concinererationem Colidi quod
  18. nascitur ex duccu rrapezii I IE in crapezium NO, ad Colidum quod Ac ex
  19. craperio L. M ducto in craperium PO, quories haec ipla ratio continet
  20. rationem corporis ex duccu varabolx convexx AB, in F. F parabola con-
  21. veram, ad corpus orcum ex dueru C. D parabolici convexi in CH con-
  22. vexum parabolicum.
  23. Demonstratio.
  24. Stentum est proposicione praecedenci ex Corollario quodrario mediecaris hou-
  25. raruminseripearu cerrio lchemaci ad alceram medierarem Agurarum inlcripea-
  26. rum, tories corimeac racionem mediecaris figurarum se cundo (chemari inscripearum
  27. ad alteram suam medietarem, quoties hec ipla racio concineerationem medictatis A-
  28. surarum primo schemati in Ccriprarum ad reliduam medierarem, e quia hoc iplum
  29. Temper heri porestiioicur cum cerminis iltius progrestionis qui in schemace vniuerlali
  30. sune clZ _ DKZ rectansula, conneniat eadem propriecas. e racio rectanguli
  31. FTa adrarionem n K C acories contincat racionem rectanguli P L a ad dR V, quo -, vet
  32. ries haec ipsa rario continecrationem rectanguli F IB ad dK FI, per propolicionem huius.
  33. universalem libri de ductibus quadragesimam sextam, eriam ratio solidi ex R S para-
  34. bolico in ZY parabolicum, ad Colidum ex parabolico coneauo T V in Z _, tories co-
  35. rinecrationem Colidi ex crapezio TK in NO, crapexium ad Colidum ex erap CZIO
  36. TM in PO, quories haec eadlem rario continebicrarionem solidi ex ductu parabo-
  37. lici conuexi AB in P. F, ad solidum ex ductu paraboliei C D in convexum parabo-
  38. licum OdI. Quodtuir demonstrandum.
  39. VlirisCIII.
  40. A e 1 e u u e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1123. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1180?run=74