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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 717

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: 0.89.

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

The machine reads it as

  1. PL A N V 1.
  2. R OPOSITIO XVI
  3. Emicirculus ductus in se, superticies duas proue CMMaticas, qua-
  4. rum communisincerlectio, higura e plica.
  5. demonstratio.
  6. Emicirculus ponatur A B C: aeoHlum in se ductim rel in semicireulund AFC
  7. xoualem; superhcies proddcere exlindricas B C CK. guarum communis
  8. incerlectio A GC Fgura es ellipECa. Facto super A C rectangulo A FC, suman-
  9. tur in RC, puncta quevis D Cquibus ad AC normales erigancur D B: ponan-
  10. curque DF in plario AF C agMdistanceS AF. rectx DB ductx in DF supexti-
  11. ciem producune cxlindricam BFI, ixirur _ BC lincae quae pars sunc B FL, 3d su- ais huins.
  12. perticiem (unc cylindricam. Similicer octendetur O F. superticiem esse cylindricam.
  13. quod vero AC C figura sic ellixeica, six osendo: unganeur DG. rectxe DB du-
  14. Ax in se, quadrata generane D B C K, quoruin diameeri sune D G; quia vero qua-
  15. deaca illa, b recta sune ad planum A C F, _ AF, D F parallelX, planA ABO P X. b Fix hy po
  16. nest in
  17. quidistane, ec criangula quoque DF C ParalIelZ lunE: quia verO D P. C anSU. defin. huins
  18. li sune recti, e DF, G F linex aequales, anguli F. DG, FC D semirecri luNE:
  19. in codemigitur sunc plano; clinox DC: rursum cum DO diametri sinE qua- c Educisur
  20. deacorum DBGF, quadraca DC dupla sunc quadrarorum DB: vnde VE BD ex ctemiti.
  21. quadracu aa ac B, le eleteclangulum ADC ad rectangulum AV C,
  22. BC D et quadracum ad quadeatum D Cr: elliplis d ioicUF eA A G C. VOCCTUF aV. d +. D.
  23. cet corpus constaris supertciebus DB OP, insula: Euius propricraces; et cuba. Ctis.
  24. curam luo loco crademus.
  25. RO P OStLIO XVII
  26. Emicirculo si reclacis llum eruldem alcirudimis in dircetum adicta-
  27. cur.
  28. Dico coram illam quanticarem in se ductam superficies producere cy
  29. lindricas, quarum communis incerlectio fipura eA elliptica.
  30. Demon

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 717. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0774?run=74