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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 114

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: 0.85.

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

The machine reads it as

  1. FSSIOIIL
  2. re ad toram lette proscessionis C hoc est C P, ave AB ad C D. quia aurem ex hypo
  3. dmns. CCH LLC, BC, BD lunc continux proportionales, etc AB ad CD, bvE AC ad RC;
  4. estigitur AP ad C P, VE AC ad B C. terminus ct8 reriulque progretsionis,
  5. dividir AC, inratione AC ad BC: quod erat demonstrandum.
  6. RO POSIFIO CXI
  7. ABB F. D, E. F, Xc. diuidet magnicudiem AC, inratione AC. ad BC.
  8. Demonstratio.
  9. IIdem politis; cerminus alcernxe sectionis, siuc progrectionis AC, BC.
  10. ratione AC 2d CB; ergo ex alterna progressionis AC, BC, BD, ac. terminus
  11. in endem racione diuidermasnicudinem AC. Quod erac demonstrandum.
  12. )Priusque proscessionis AB, BF, _ CB, DF, terminisimul sumpei sunciidem
  13. cum cerminis progressionis AC, B C, BD, F. D, _c alcernarim sumpris. ergo
  14. nes AB, BC a CB DF. Sedharum cerminas perpracedencem, diuidic A C, in
  15. ProBre(SIOdErna AC; BC, BD, dl. Cundem habet cerminum quem progressio
  16. PROPOSITIO CX
  17. RS, Sec, diuidere L. N, inrarione AB ad BC.
  18. Acatic continue proporrionalium series, constiens magnicudinem
  19. AR: Scaurem L. N, aequalis AR, harque prima AB, a qualis L. M:
  20. secundae vero BC, aequas sat LO cerrix aurem C D, sic aequalis
  21. DE, F C, HTI, _EC. (INECK PArTCN.
  22. MIP, _E QUATEX DE, aequalis OR: aeque hoc alcernarim Cemper AaE,
  23. itareomnes AB, C D, EF, CFI, eC. Cnc ex parre L; omnes vero BC,
  24. Dicocerminum huius alcerne proscessionis, AB, NO, MP, OR, PO.
  25. ebetseddboei
  26. Voniam AB, BC, CD, DE, sune concinux proportionales, eriam AB, CD,
  27. LE F, ec sun continua, ex quidem in rarione duplicaca AB ad B C; VE PaTCE eK
  28. elementis. Similicer in eadem racione duplicata AB ad BC, CrUHE COnFINUX pro-
  29. POrtIOnateS OmneS BC, DB, F C, _C acqui omnes AB, CD, _EC. TUINE CK parre
  30. L, _ ones, BC, DF, dc exparce HI. Igitur in magnicudine L. NI per alcernamil.
  31. lam prosxessionem, consticuuneur dux series appoliex similes, eiusdem nempe rario-
  32. c84. huius. nis duplicatae AB ad BC. QUAEC SCrIESEOTA LM, CMP, dcc esthdseriem toram
  33. AO; OR, _EC VE LMI ad NO, hoc es AB ad BC. Deinde quin per series AB,
  34. dg9. huins. C D, F. F, _C _ leries BC, DB, _ c. Cimul sumpeX, aequantur seriei AB, BC.
  35. CD, DB, dec series quoque L, & NV, Cimul sum pexe aequabuncur leriei AB, BC.
  36. hypochel L Claee L H F. ex BO cum
  37. CD, DF, ec Ouare cum haec ex hypoches consticuar inagnicudinem AK, id est ex
  38. dem
  39. ( e i B . 1 A. . A. B B . . u u s s p 1 . H B 1 B5 p B B HEIH HB B EB s pP B A , u. u 1 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 114. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0171?run=74