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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 162

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: 0.86.

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

The machine reads it as

  1. e m 1
  2. PROERESSIOHL.
  3. PR OPOSITIO CEXXIII
  4. Ara CE ve tupra cuborum Ceries. Oporret exhibere superkiciem om-
  5. nibus superticiebus omnium cuborum progrestionis dacae aequale.
  6. Demonstracio.
  7. 150. hums , TaC LTCCLAHSAM P FXGF aequale progrestioni quadratorum AN, BN, eCc.
  8. cum F I sexcupla hac linex PII. Dico rectangulum FI esse id quod queritur.
  9. Cum superficies singulorum cuborum conster sex quadraris aequalibus, manifectum
  10. est omnes scriei cubica supertcies consticui ex sex seriebus quadeatorum A M, B N.
  11. _C. aequi rectangulum FIF ex constructione seriei quadratorum AM, BD eA X.
  12. quale. Ersolex rectangula FH, hoc eAt ex construct. rectangulum F I, consticuet
  13. omnes serier cubiex dacae superticies. Fecimus ergo quod perebaeur.
  14. PR OPOSITIO CLZXIN.
  15. Aca sic cuborum prodressio sibi muruo insistentium, consticuens
  16. toreliduas baltaa uperficies, nempe BKICHC, BONE MV
  17. de reliquas omnes in intinicum limul Cumpras, quadraro primi cubi x qua-
  18. les este.
  19. ctontario.
  20. Psladem cubica.
  21. Elacenim seriei rarionis primae A F ad cerriam F. O aqualis V Z; lup ex qua in
  22. alcicudine AEI hacrectangulum Za, Cumpeaque V X equali, A FY ducatur ad
  23. Rectangulum a L. per 79. liuusxquatur leriei quadratorum AC, CL, F P, ec.
  24. hoc est (quoniam cuborum plana omnia tunt quadeata aequalii) leriei quadracorum
  25. AB. HD. OF. dC. ergo cum a X ex conser. quadraco AB aequalo lic, cric reli.
  26. Quum BZ reliquae quadrarorum scrici ND, OF, ec. xequale. Acqui series qua-
  27. dracorum
  28. V a parallela ZB, qua abrenat suaca La asate Guaca +V.
  29. u u et s a qul t e u u itt ut et e pui a ti i ut pi e e pen e 1 a e e pe e s . p l.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 162. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0219?run=74