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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1061

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: 0.82.

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

The machine reads it as

  1. 1O6I
  2. ONOIDES PAR ABOLICVH.
  3. rectum plano CC F. ergo communis coruM LuW LDL, recta est planO GC F. 219. undco
  4. ergo detuim ea. anecumo ealecle palde
  5. E C bileita ele in D. Ec quidem relupra octendi, ad ansulos rectos. ergo C D elt
  6. ADC per axem D Loccurrens lecundum lineam A C ad angulos rectos. DicoA C
  7. axem esse cllipleos AB C. ex puncto F, quo axis D F occurric plano A B C. crigatur
  8. normalicer F. B ad planum AD C. isicur si secundum b F B Aar sectio OB F baH CO- B137. hX .L
  9. noidis aequidistans, erit circulus ex quidem rectus c ad planum AD C, ac proinde F L c 18. ondec.
  10. aequalis Fi B. quarecum FB recta Sicad planum AD C, recta quoque cric definic. Z. Vn-
  11. decim. ad rectam AC. unde cum a recta A C dividatur bitariam recta B I, ad angu.
  12. losrectos, pater rectam AC arem esse sectionis ABC.
  13. er oPOStIIO CXLVI
  14. axis sect SCFD.
  15. Secusscum quoque calum sic demonstrabimus. Sil herumlectio ABC; plano
  16. IIdux sectiones in conoide parabolico axi occurrentes equidistantes
  17. lltca Det rectulse cllu dea adtebloluebo a Malcltlat.
  18. Demonstratio.
  19. Ineplanaparalleta ABC, D E F. quorum centra FT _ T. Dicolineam TTI aequi-
  20. distare axi conoideos. ostensum d el sectiones AB C, D P. F. similes cAc. Praeterea dr4 +. B
  21. demonstrarum est c planum per axem conoidis rectum ad sectiones AB C, D F Rius.
  22. axes carundem extribere, planum isitar Dex aXCS AC, D F sectionum ABC, DDP:
  23. ha
  24. conodes. ero CLamcouaco . u C POPu.
  25. cransiens est planui, quod per axem conoidis cransic, sic igitur planum hocD A C+ C F.
  26. TBitur D A E parabOla eR que per axem eransic ac proinde recta OFTI, quae bita-
  27. riam diuidie AC, D F, gux 16. vndecimi lunc parallelx, sectionis DGF per axem
  28. conoidis Factx diamecer est. Sune aurem omnes diamerri axi seccionis aequidistantes.
  29. igicur de GFTI axi Cccctos Galeaeco ercumeade aseit idem
  30. ROPOSITIO CXIV
  31. Prumcriplicatam rationem.
  32. Va sectiones axi conoides a Gucates Lorctueur Vastun lua-
  33. mon
  34. te p u ett pis u ptit set eue ta te t ut tat t a e tet s t e et t a te tt t t et a p t t at it e et t t ute tt i la

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1061. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1118?run=74