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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1056

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: 0.86.

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

The machine reads it as

  1. CONOIDES PAR ABOLICVM.
  2. 1056
  3. cuius afe AB. Bicacu Polla Tul 16. bC; 18ut d Gdaacua 1e al
  4. BC quadratums hoc elt quadracum HlH. 2d Bf, ita linca A HI ad AB lincam.
  5. deacum TIF ad BE quadracum el a CL LADPONCOIC LLBL PacavOa, du
  6. 21. Parab. aGuaCa L.L Patu. Duoderar propolirum.
  7. Cordurunt.
  8. Ton Colum constac ABF parabolam elle, sed eodem dileurtu parec parabolas
  9. ABF, ABC escequales ac tmess ac prethde latus rectum quod da BC.
  10. ternic commune elle vue o.
  11. PR OPOSFTIO CZZEVII
  12. Minis sectio conoics Patabolici ad axemeons tecla entetun
  13. Cormac.
  14. Demonstratio.
  15. iX parabolici conoiats ACHMLIOnC ABCa L:. D quae basis est semiparabolX ADF,
  16. LFormaneis conoides, deseribic circunum R C F, ec quia P D ordinaciit
  17. caca ad axem AB. orchogonalicer illi inliltic. polico isitur quovis plano AB C per
  18. aXem AD, eric CD aequalis DF. per Corollacium praecedens, cum hc cadein pa-
  19. rabola ABC Cum ADF: erie insuper CD recta ad AD. acto deinde plano
  20. quocunque GBFI quodxequidister F C F, exhibens communes incerlectiones IB,
  21. TFI, planOrum ABC, A C F _ G BFT. cruncnormalicer crectae, adeoque ordina-
  22. cim posiea adaxem AI, linca IB ex IC: quia b parallelae sunc IC, DLi, d LB,
  23. CD. Cum autemparabola AB C eadem sc cum parabola A C: F, hinc IG est
  24. 2d DE, Ve IB ad DC, _ DE ad DC, ve GI adIB: cum aurem aequales sinC
  25. DE, D C, aquales quoque sune TG, TB. punctaigitur EF B H in lemicirculo ex-
  26. istumenonminus quam E.C F. Ouod tuir demonstrandum.
  27. PKOEOSITIO CZXXVIII. LEM MA.
  28. Ncerlecene parabolam bina parallele AB, C. D _ F. F, G LL OCCurren.
  29. ces sibiinuicem in punctis I e R2.
  30. Dico rectangulum P. IF. ad CIEHI, eandem habere rationem quam
  31. haber C ID rectangulum ad rectangulum A HB.
  32. ectm
  33. Ddemon

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1056. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1113?run=74