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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 339

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: 0.87.

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

The machine reads it as

  1. Demonstratio.
  2. EL L IDSF
  3. Vata O FT linea parallela rectae CF, quae
  4. circulum in E conringac, ducatur ex G li-
  5. nea CT Parallela rectae AC, occurrens lincis
  6. CF, A F in K _ L, ellipli vero in I: actaque
  7. Per I linea IM, qua AF lincae aequidictar, iun.
  8. sancur puncta AL, FL, CG, FO: Duoniam
  9. IMI linca aequidistat secanci AF, Crit = IMrC-
  10. ctacangens, ideoque AIF criangulum beorum
  11. maximum quae AIF segmento pollune inscri.
  12. .F tot
  13. bi: quod aucem C GF CriangUIII COTUM SIE maximUM qu_ C G F lCBIEHEO CIE- p eauus ex
  14. culi inscribuncur manifectum est, verumque ergo criangulum Eplus est quam dimi-3. en +2.
  15. dium lui scomenci. Deinde, quia PI, K C sunc requales, ve facile ex r7 4. huius dedu- huius.
  16. CerUT, sunEque LG, A C parallelX, criangula TAL, CCK sunE ae qualIa: SUINE VErO C+3: huius
  17. ob candem causam aequalia criangula IF L, GF R. cocaigituE AIF, C GF aequalia
  18. Turic. Similicer demonstrabimus segmentis reliquis ellipeicis ac circularibus intcribi
  19. Polle, sive cerminorriansula maiora dimidiis segmencorum es Equalla incer lcixqua.
  20. lia igicur lunc scxmenca ALF, C CrF. Ouod erac demonstrandum.
  21. PROPOSITIOCLZZKII
  22. AbeanE ABC ellipsis e circulus AD C cundem axem AC, duca-
  23. Lcurque recta guaeuis P. F normalis ad axem AC, occurrens ellipt
  24. in C1.
  25. Dico esse ve E. C ad F F, Sic ABC elliplim ad circulum ADC.
  26. Demonstratio.
  27. EiX centro EI normalis CFIEAEUF ETB D: OECUTTeNS
  28. ellips in B ec circulo in D. ve FB ad HD, RC
  29. F.C elt ad B F: sed ve FTB 2d FTD, ACd ABC ct
  30. liplis est adcirculum AD C: IgITUEVE E C ad F, F, (IC
  31. ellipsis ABC est ad circulum AD C. Quod erae de.
  32. monstrandum.
  33. PRDBOSTFIO CLRKKILE
  34. AbeanEA B C ellipsis de circulus AD C cundem axem AC ad quem
  35. Lordinacim polica lic recta P. F. occurrens ellipsiin O d circulo in F:
  36. Dicoleomentum ADFF. esse ad scomenrum ABC F. vE ADC cir.
  37. culus est ad elliplim ABC.
  38. Demonstratio.
  39. i
  40. oroil. 4.
  41. auu aenab. alcacuique Eecla
  42. El aequidictans ipsi A F, concingens
  43. circulum in puncto D: ex quo ordinacim
  44. demictatur adaxem recta D I, OcCurrenS
  45. Mllipli in B _ AF, AC lincisin I _ M,
  46. asacurque pet Brecta BR parallela ad
  47. A G, quae per 154. ellipsim tanget. dein
  48. linex duCANEUT A D, D F, AB, B G, VEF F
  49. ad F, C, HCFL CA ad TMI, Sed es VE F F ad
  50. F C, EcID adIB. isicur ve ID adTB, GIC
  51. CE ad TM. ergo e reliqua DE ad reliquam BM, retota ID ad cocam IB. eAt
  52. autetu

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 339. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0396?run=74