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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 731

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. Du
  2. 1
  3. e
  4. CN BL A N, V M
  5. Demonstratio
  6. Vin enim AD minox ponacur dupli ipsius GFF, pacec AF Ecclalisatum in2.
  7. ius elle reliduo FD: similirer ob eandem rationem. GF maius est quam
  8. FNHT; _ F K MIUS ipIO RM F, aC. vnde AII, OF, PK, TC. Fixurx simul cum
  9. Pra, maiores lunc cmisio Rgurx mixrilince ABC D. Ouoderac demonstrandum.
  10. Scholion.
  11. Ora: si eadem construc s p cCdeha methodus servetur I resolluis fieuris OHD.
  12. iN FI, exc. patet Tectangula illis inscripia, simul sumpta, maiora esse acmali peurarum
  13. DFID, EN EI, Cc. adeoqe per similes ablationes tandem residuam relinqui. ex tota ficura
  14. mixrilinea quantitatem, datâ minorem.
  15. PROPOSITIO XXXVII
  16. Se AB C Rgura incercepra duabus lincis AB, A C rectum angulum
  17. scontinencibus, perimerer vero C DB concaua lic, divisâ aurem AB
  18. bitariam in C, ducacur OD parallela AC _ DN aequidistans AB: dein
  19. ND bitariam dinila in FI, ducacur HI F aequidistans AC X F O, ip(I
  20. AB aquidistans, e hoc lemperhac.
  21. Dico rectangula hoc pacto ablaca concinere plus dimidio heurx mixri.
  22. linec ABC.
  23. Demonstratio.
  24. Delticiancur rectagula Be D, DHIF F IF, aL. erun
  25. illa aequalia rectangulis A D, N B, OF, 8 c. ob sub.
  26. dinisionem lincatum Ber aequales parces: sed OL. HIK
  27. LM reclangula maiora sUnE RGurIS mixclineis BDO.
  28. DE HL. P. F L igitur _ rectangula AD, N B, OF, _C.
  29. Sitrul Cumpeamaiora sunc fguris BD C, DF FI, F F L,
  30. ac. id est reliduo fixure mixciliniex ABC. Quoderat
  31. demonstrandum.
  32. Sed ABC Agura incetcepta Fecris duabus.
  33. laotoseta
  34. +AB, BC angulum ABC reccum conci
  35. curuicacis.
  36. menribus, e AD C perimeca aa AOquadritariam in HI, 65,
  37. I: ducancur HD, GF, lF. fucalicta BC; uK, CL, FM, aequidistan-
  38. res AB, ica vereccangulis A ac
  39. 1c
  40. Dico HH. CV. 1M, asulad pras maioreo esse dimidio F
  41. poraBC.
  42. Demonstralio.
  43. Vancitas FIK maior est EguTa HI A D; ee
  44. LKL maior CRipsA D R Eidein e LMm~L
  45. For quam P. L. F: parec aucem IS maiorem ese
  46. BACA MI F C, IBICIE HIK, GL, IM AguTA A.C
  47. Muaaao suc maiores Aguris HI AD1
  48. DRF, L.L. L, FMC, id est residuo hgurx
  49. ABC, Saur de maiores dimidio hgurE ABC.
  50. mubnen AC
  51. u a du.
  52. 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 731. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0788?run=74