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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 701

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: 0.90.

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

The machine reads it as

  1. Il
  2. SP IR AF I6.
  3. Demonstratio.
  4. Rioneula B AG, B AC cum angulum ad B aequalem habeauc, cationem Ad-
  5. bene adinuicem composicam ex locerum AB, B C, racionibus, re demonstrac
  6. Clauius ad 23. 6: Similiter sectores B AC, B AC adinvicem rarionem habene
  7. compolicam ex rationibus semidiameerorum AB, AB, de arcuum BC, BC. AC-
  8. qui ex hypocheti rario Aa B in parabola ad ABB, aqualis est racioni A a B ad
  9. ABB in spiralis racioicem B C. diameeri ad diamerrum B aC,, carem eA cum
  10. eacione arcus BC: ad arcum Ba C: per ANerE. 2. PropOLC. praecedenc. Ergo rario
  11. compotira exracionibus, A aB ad ABB, e B C, od BaC, hoc est racio crian-
  12. pulorum ABC, ABR C cadem est cum compolica exracionibus A aB ad ABB
  13. in spirali, ee orcus B C ad arcum Bao Ci; hoc est cumracione sectoris Aa B C, ad
  14. sectorem ABaC. Isicur permucando pacerrriangula lingula B A C Singulis B AC
  15. sectoribus esse proporrionalia. Duodcrac demonstrandum.
  16. Dico quinco. Singula scomenta parabolica qua lineis rectis AC, et
  17. curuis AGC continentur, Cingulis spiralibus spaciis gua vicissim lineis
  18. rectis AC de curuo spiralis ambiru AGC, concinentur esse proporcio-
  19. nalia.
  20. Nam lingula. Tegmenca parabolica per 27. huius singulis eriangulis
  21. B AC luncproporrionalia. Rurlum per candem singula spiralia spacia
  22. singulis sectoribus B AO proporrionalia lunc. Arqui per ANerC. Quar.
  23. cam criangula singula B AC, sectoribus B AC. sinsulis proporcionalia
  24. Tune. Ergo et Scemenca parabolica sexmenris spiralibus lunE propor-
  25. cionalia. Ouod erar demonstrandum.
  26. Scho-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 701. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0758?run=74