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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1001

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. V N CYLA CYELNDRTCA
  2. sed rectangulum C OM L ad rectanGUIUM LOTR, habCE FaTIONCM COmPOTILAMI
  3. ex CO ad F O, X CX raTIONC ML ad TH. Igicur eriam superticies rngulares il
  4. dis rectangutis aquales ex ijdem racionibus lunc composicxe. Ouod crat demonstran-
  5. dums
  6. P ROP OSITIO LX.
  7. YNoula cuius alcirudo par diametro baleos;
  8. Secetur plano FOHIL quod axiaquidistet
  9. e recta AN. exhibens communem interlectio-
  10. nem cum bali ellipeica AHI C rectam III, e Per
  11. H1 planum ponacur HI LK quod basi AB N x-
  12. quidistet.
  13. Dico eodem excessu superare superticiem cy.
  14. lindricam BOFIK superficiem rectaguliFOII
  15. quo superticies rectanguli LHIL. excedir ongula-
  16. rem HIKC.
  17. Demonstratio.
  18. Scentum esta superticiem vngularem BOFTC X
  19. qualem esse rectangulo ANM D, hoc est quoniam
  20. alcicudo ingulae ponicur par diamerro AN, rectangulo FC: L. Igitur Arictimeri-
  21. ce proportionales lune superticies B CFFTK, rectangulum FOFT, rectadgulum IFTL,
  22. ee lupersicies FIKC. Ouod crac demonstrandum.
  23. P ROP OS I FIO IL. XI.
  24. Vbcendant AB, BC aequales ar-
  25. cusin balirngulari ABL.5 d se
  26. cundum rectas AB, BC ducanuE
  27. Plana ABF, BF. F C, quarum com
  28. munes incerlectiones cum ba(I ClII
  29. prica A E. D L SINE ReCtE AF, FF; e
  30. secundum has lineas plana ponaneur
  31. duxe rocca sinc ad plana ABF, BF FC
  32. exhibentia communes lectiones cum
  33. Superticie rnoulari cylindrica arcus
  34. ANE, E PF. 11 1
  35. Dico luperticies vigulares AOF. B
  36. BE D FC proportionales diuitas esse
  37. hoc est eandemrationem esse superHi-
  38. ciei ANEB ad BEFC Superticiem,
  39. qualis est superticiei ANFE. O A ad (u
  40. pertCIeM EPFD F.
  41. 100I
  42. a
  43. q. hiiu.
  44. Demon
  45. (e ei e su t ut i pi e u te st t u u u ete ui u p e et u t t e ee a te e p e o e e s nt

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1001. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1058?run=74