Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 964

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: 0.91.

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

The machine reads it as

  1. 6
  2. ENGYLA CZLENDRICA.
  3. Demonstratio.
  4. Alem enim Havet rarionem quadrans cxlindei ac
  5. parallelepipeuum lub bah BEI ex alcicudine F C
  6. qualis incer bales, quadrantem Loilicer BDFi, e Pa-
  7. rallelogram BElareperitur: Sed octensum est b pa.
  8. rallelogrammum BET maius esse dimidio quadeantis
  9. DBF, igicu ettam Pacallelepipedum sub bali B II, d
  10. alcicudine LC Mraius est dimidio quadranris cs Muel.
  11. aetac demonstrandum.
  12. Corollarium.
  13. Vod t astertum de parallelepipedo sub BC H, _
  14. alcicudine F C respectu quarcae parcis cxlindri DB B
  15. Cclau incellisendum de parallelepipedo sub basi GK, e
  16. alcicudine FC respectu lolidi quod sic lub Cegmenco cie-
  17. culari D G FI, & alcirudine eadem F C, atque ira de ce
  18. nintinieum.
  19. PROPOSITIO XI
  20. Adem manente Egura:
  21. Dico (i parallelepipeda hoc modo qua-
  22. dranti inscripea cylindrico, ab eodem quadrance lemper demmaneur, resi-
  23. duam candem tore quancicarem omni Colida magnicudine dacaminorem.
  24. Demonstratio.
  25. Npraecedentis ciusque Corollario demonstracum est paralle lexipeda illa maiora
  26. existero dimidiis quancicatum extindricarum, quibus inscribuncur. Duare _ ab his
  27. illae collaneur, semper plys auferecur quam dimidium. Ergo perr. decimi relinguecur
  28. candem ex quadrance exlindrieo quancicas daca minor. Ouod tuic demonstrandum.
  29. eROPOSITTO. XII.
  30. Vadtantis cplindrici basis ADF diuila (icre prius; sectanimirum
  31. BD in parces aequales C, I, _c. perticiantur parallelogramma
  32. BHI, CK, 8c. Cylindro deinde inscripea Tinc parallelexipeda ve
  33. prius lub iidem balibus. Denique secundum rectam DB, de quoduis
  34. punctum N in linca F C, qua est in cy lindri superticre, planUm agaTuT ex-
  35. hibens ungulam FND.
  36. Dico etiam ex ipla tandem rngula relinquendam quantitarem qua-
  37. visdata minorem li cadem operario in bali cxlindri concinuetur quae lu-
  38. periore propolicione imperata fuit.
  39. Demonstratio.
  40. Scenlum eAt exipso cytindro rehaHAM LONC GUAMELALEM QuABIS AATA MIMOTCH.
  41. ledhec pars residua maior est reliduo quod remanet ex ipsa rngula. igitur cum
  42. rnsulx residuum pars sit eius residui quod remaner ex iplo cylindrO, PATCE veritaS
  43. propolitionis.
  44. 2
  45. PR O

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 964. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1021?run=74