Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 353

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: 0.88.

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

The machine reads it as

  1. F. L L I
  2. sectores AZB, BH C, ecc. xequales: sunc aucem illi smul sumpei aequales toci et-
  3. lipH, ioiene sectores duo AZ B, BZ C hoc est quarca pars sectorum, crune
  4. quadrans ellipsis ABC. Jam guta XT, XV ex centro ductae BisecanE BC, a 50. BN-
  5. AHLa crunclectores C X T, X A V dimidii sectorum aequalium BZ C, A Z FI, ac in-
  6. proinde incer se aequales. addicoisteur communisectore AZ T, corus sectorVX I.
  7. lectortori AX C aequacue quare eum A X C. sic quadrans cllipleos, eric de VXI.
  8. ErgodVZ, TX diameeri sune coniuracx, 2d quas A FTC B sunc ordinacim po- b46. huins
  9. Tice auterences sexmenca aequaliasigieuc quadratum PO bis sumpeum, est xequa-.
  10. le qualtaris AII, CB simul sumptis: eodem modo ostendicur idem quadratum
  11. PC bis Cumprum equari quadratis AB. C FT Simul Tumpeis: adeoque P9 qua-
  12. dracunt suario sumpcum aequari quadtacis CBs B A, AHI, EIC, id est. quadracis
  13. GF, P_. E D, D C. quare de quaulacum P O suniptum octies quoc lacerum est por
  14. ygonum, aequale elt quadracis lacerum corius polysoni ellipE inscripei lrerum cum
  15. 1
  16. 106. bv-
  17. dEc vresliplis ABC ad circulum LMN, ita sexmencum AB id est P 2d (c. 8187. h.
  18. simencum LN erune TK, NO diamorri c in R ee S, proporrionalicer divila, C 188. hi
  19. quadratum. POC aequale quadeaco L M. ergo quadtacum P, octies lumpeum ins.
  20. aquacur quadraris laterum polygoni circularis. Sed quadrarum. P O octies sumpeum, E177. b-
  21. equacur eciam, ve lupra ostendis quadrarislacerum polygoni xllipricis ergo quadrara
  22. lacerum polysoni ellipeici simul lumpra aequantur quadracissacerum polygoni cir-
  23. cularis mut lumpris. uod erur demonstrandum. I
  24. Corollarium.
  25. Incpater: E eidem ellixs duo intcribaear porsroua patium numero lacerums
  26. Quadracalacerum vrius polygonisinul sumpra, aqualia eAC quadracis laceru
  27. alcecius vols Bohl biul tchipcis.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 353. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0410?run=74