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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 398

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. AR L
  2. eROPOSITIO LAKL
  3. Iead AB C parabolx diametrum et Domnarim polea linea C B: Fa
  4. caqu AE xquali ipsi AD ponacur per L linca F H parallela recte BC.
  5. dein ex C. ducarur linea C P, occurrens parabole in C Duncto, per quod ex
  6. B agatur linca OCCurrenS axi AD iitEL, X F F linex in l;
  7. DicoFE, BD, Ellincas in contiluta esse analogia.
  8. Demonstratio.
  9. Inca CF occurraE diameero in R.
  10. Ouoniam A F linca aequalis ponirur
  11. lince AD, d TTA; AK linex quoque
  12. inter seaquaneur, cric P H reliqua X-
  13. qualis relique R D. Rurlum criangulum
  14. FX F ad criangulum D K C duplicacam
  15. habet racionem F. K linex ad lineam
  16. RD, Id est HID ad F IT. es aurem e
  17. 60. huiur.
  18. criangulum B ED, adcriangulum F FL P in duplicaca ratione FTD ad FX F; isitur
  19. vecriangulum FR F. adcriangulum DRC, sic BFID criangulum; ad criangulum
  20. culum DKC, est compolica ex rarione LL a D C, id cA B D; X CK F K ad R D, id
  21. NECFAEO F F ad B B, eadem cum rarionc B D ad P. I. quare F B, B D, F. I linex sunt
  22. eROPOSITIO LAKLL.
  23. F FFF adcoq; rariones exiisdem habenc coposicas, sed rario erianguli F R R ad crian-
  24. CA DEI ad HE: e racio crianguli B EFD, ad criangulum FHL est compolica ex
  25. ITD ad HIE, ex BD ad E I, ablacatur communi racione HID ad FTF, ma
  26. CONFINUX propOrtIOMalCS. uod erar demonstrandum.
  27. t, A tuerint plopoconateo, eL. B, sectionem contingere.
  28. Demonstratio.
  29. DOnuntur ex A _C C ordinatimtA.
  30. NCX A D, C G ad B D, di amCErUM.
  31. quoniam ipituFB F, C C linex equi.
  32. distane, eric ve B ad FB, AIC CF
  33. ad FF; _ VE FB ad DB, ACFB
  34. ad AF. (cd B C, B F, BD linec sun
  35. proportionales; igicur d F C, EP,
  36. F. A lince in concinua lunc analosia.
  37. Duod eracprimum.
  38. cruncigitur HC, HlF. HA concinua proportonales, alF ad FA, ve HCadHI.
  39. sed _ C F cA ad F A, ve F C ad PF (cum F C, F P, P A sinc proporcionales) ixitur
  40. VeFTC ad FTF, SCF C ad F F: _ dividendo ve HIC ad C F, ACF C 3d CF, quod ab.
  41. Curdum, cum FTC exhypochelmaior sic velminor rect a F. C. quare FTBnon CAtcan.
  42. BEHS, REC qux uis AlIa PTXTCT F. B. Quodera dem.
  43. DArabolam AB C cuius diamerer B D concingac in B linea BF; de
  44. missaqi ex P. linea F. A occurrat parabola in C e A, diametro vero
  45. DD IM F.
  46. DiCOE C, EF, E. A lineas in continua esse analogia, de COntra(I FC,
  47. nem in B concingere. Sin verosagatur pet B cangens, quxe A F linex occurracin H.
  48. Sineiam E. C, E. F, E. A proportionales, iunsancurque P. B, dico F. B lineam, sectio-
  49. e tit i. . . 1 . 1 1) . e 1u 1e t u s 1. s. ut t e t t . e t 1 1e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 398. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0455?run=74