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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 660

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: 0.81.

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

The machine reads it as

  1. i.
  2. ps.
  3. 660
  4. 11
  5. YP E R
  6. Demonstratio
  7. on
  8. dis Oe C FIMBC
  9. LEPEF D EECtA FK Armali ad A. B, POHAHENEPErF e H corins ences cIlIptim.
  10. LTCCtXF L, KL, occustences rectis (C: FI, in N de M: convenientigitur LL, RL
  11. inpuncto aquodam I, quod in AB producca cAt, quonium recris D Faequales po.
  12. sIC CunCF, CTI, _ V. CB igicur quadraca F C, C D aequalia sunc quadraris FIC hoc
  13. eA recrangulis HIF I, rna cum quadraris F C. unde ablaco communi quadraro PC
  14. remaneE FIF P reccangulum aequale quadraro CD, quare ve cA quadracum CD.
  15. ad CD quadracum id est N. P. quadracum ad quadrarum N F, hcrecrangulum IFI
  16. Ad FIFI, reccangulum. est aurem oltensum MIEM, recrangulum esse ad rectangu,
  17. Ium NFML ve NE, quactracum ad quadracum N P.; residuum igicur reccangulum
  18. IINL ad YINLCA, vE quadracum N P 2d N P. quadracum. igieux per converlam
  19. 36. huius exunc HIFI, YI sectiones oppoCEX. D goddemonstrandum tuit.
  20. PROPOSITIO CCXLVI
  21. AC MMMPICOS ABC, Locus D; astumpro aurem in adC pancto P. inter
  22. Focum e verricem ellipleos A, ducaneur ex P. ad perimerrum ellipleos
  23. quorcunque FF, et per F rectae ponanturF, C H, normales ad AC e
  24. aequales F F.
  25. Dico BHIH, esC ad eandem hyperbolam.
  26. Demonstratio.
  27. iX Foco D, erigatur ordinacim ad axem DFN _ per F _ N, concingens
  28. LPONANEUE FML, NYO. divisa deinde bitariam F D in P, ponatur TR parallela
  29. B10 D. DF. OeCMens Comingenti FM in L. quoniam igitur D FacuS CA clliplcOS, d
  30. TK, L. Buormales ad AC, reCEX DK aequalis b cA IL, prour concinsenci occurrit:
  31. sed DK recrx aequalis est, F K, (quia P. D in Y bisecca C() FCCEX iBITUEP R, IL
  32. aequaleslune: se d perhyporhelimrecex P R aequalis eM IL, Prour occurric fipurae
  33. ABFI. Punctmmigicur LCommunis iheerseccio est Agure BHTI _ lincam IR.
  34. quadracis pt e, una cum redrangulis, fl AI C: quia verorecce ff. Pet s perenm
  35. xquales iunc C H et D, F. X4dCd P 57 t. Guaalq F L fL quanta t Gua
  36. oel1)C draris
  37. FM: hane deinde OIr lineis, aequales GY: cruncigicur FIC quadrara xqualia
  38. aas oeeoesaooaseahao

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 660. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0717?run=74