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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 43

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: 0.92.

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

The machine reads it as

  1. BarIOMLLMIH LIILEL DAESIICIIOSTAMMA PDMIL, FDMK; cune
  2. continue proportionalia, quoniam eriansulum AFL est me
  3. dium arichmericum decraperium AFC L. medium geomerri-
  4. cum inter ea deparallellogramma, repatet ex huius 13; sed
  5. TriangULUI AFL, craperium AFOL, ee craperium AFFL
  6. Tine coiul pepionalia exhuius r; et proindetraperiu
  7. AFEL. CA mCctu umonicum incer parallellogramma
  8. POML, FDMK. Gud demonstrare oporeuit.
  9. PROD. XXIR. PROBLEMA.
  10. Dato circulo aequale inuenire quadratum.
  11. Sit quadratu circulo circulcripeu 4000000000000000: erie
  12. ersocide inseripti 2000000000000000, inter quae quadra-
  13. ca lucmedium geomerricum 2828+27524746190 Octasonit
  14. nempe inera circulum: deinde inter octagonum intra circu-
  15. lum de quadrarum extra sic medium harmonicum, quod leui
  16. labore invenitur diuidendo duplum quadraci octagoni in-
  17. era circulum seu duplum rectanguli a quadraris intra e Cx-
  18. tra circulum per lummam quadraci e octagoni intra; ericq;
  19. inventim medium harmonicum, octagonun circumseriptu,
  20. nempe 3313708498984760. Continuetur haec Perier conuer-
  21. Benspolysonorum complicatorum donec prima medieras
  22. nocarum (ic eadem in veroque termino convergente, nimirit
  23. vque ad polysona lacerum 16384; in seripeum enim est 3r4-
  24. 2592576586860 et Circum (CrIDEUM 3T4 2592692091258;
  25. non consideratur nota vlcima, quoniam in divilionibus de
  26. radicum extractionibus semper a rera quancitare pautulum
  27. aberramus, quod vlcimam nocam impertectam plerumque.
  28. reddic. achibeatur deinde approvimario in huius 20d 21
  29. demonctrata, de invenientur termini inera quos est vero cir-
  30. culimelura, posico diametri quadrato 4000000000000000.
  31. 3141542653589789 minor circulo e 3141592653589793
  32. codemmaior, de proindenon lacer circulimensura, quam
  33. inuenire oporcuir. polrgonorum seriemhic apponO
  34. TMEra

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 43. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0051?run=74