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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1045

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: 0.89.

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

The machine reads it as

  1. SP HI AE R O IDF 3.
  2. e ROPOSIFFO CXVII
  3. Aci Sphaeroidisaxem exhibere.
  4. Constructio es demonstratio.
  5. IE sphaeroides ABC, cuiuS AXEM OPOE-
  6. Dcear exhibere. Aac sectio quaecunque
  7. E. DB. cric ea a aue circulus, aue ellipAS. In-
  8. vento huius sectionis axe F B, per R B, AaC
  9. sectio AB C ad angulos rectos sectioniFDB.
  10. eric ea rursus ellipsis. Inueniatur denique se-
  11. ctionis ABC axis AC. DiCOA C aXeM
  12. quoque Fore spheroideos. cum enim sectio
  13. ABC ad angulosrectos consticura sic lectio.
  14. ni F D B cran(ICNS PeF aXCM F B, eric b in
  15. plano AB C axis spheroidis, ac proinde
  16. ABC elliplis eric Facta peraxem à qua sphe-
  17. roides Formacum elt; axis orvo cAt A C spha-
  18. roideos ABC. Duod crar demonstrandum.
  19. PROPOSTTIO CXIZ.
  20. Aci Sphaeroideos cenerum altisnare.
  21. Constructro e demonstratio.
  22. Nuentus axis AC diuidacur bifariam in F. DicoF, punctum eNe guxesitum, est
  23. enim hoc ipsum cenerum ellipseos ex qua sphxeroides Formarum est per quodom-
  24. nis linea in sphiaroide polica bisecaTur.
  25. PROPOSITIO CLL.
  26. ainislectto per cenetum crantsens
  27. oblique ad axem, elliplin exhibee
  28. dissimilem illi gux per axem facta est.
  29. Demonstratio.
  30. Arcuto ABC per ceneru sphaeroideosD ob-
  31. ligua ad aRcm. DicoA BC MHe cllipum disti-
  32. milem P FC sectioni quxe Facta est per axem
  33. Duod aucem limilis non ie Caca lec
  34. Duod ABC Sic ellipSIS PATCE CX IFZ. huiuS.
  35. amibo recta sune plano F FG, erie per 19.
  36. ondecimi communis corum sectio BD recta
  37. planOF FC, ac proinde pex detin. Z. H1. eriam
  38. ABC sectioni F F C sive FB C, Sc ostendo.
  39. Tc B F C sectio per axem sphaeroideos recta
  40. plano AB C Cheri enim id PorcHt peF 11O.) PeF
  41. cenerum aurem hac sectio HIB L ad axem F. C
  42. recta, (per 18. undecimi eriam recta erit plano
  43. FF C) Faciens cum plano AB C communem
  44. sectionem BD: cum plano aucem R F C+ TC.
  45. etione D F. quoniam igicur planA ITBF, ABC
  46. 104
  47. X13. huitos
  48. BColligirur
  49. pXI
  50. recta
  51. a ooeao

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1045. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1102?run=74