Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 999

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: 0.83.

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

The machine reads it as

  1. AOYLA CLLINDRTCA.
  2. Sulum FDK ad superkiciem E DR FI, verecta F D est ad curuam AD P. igIeUF CF- a Demon
  3. 9
  4. Jam pacs luperticiei rngularis LCD ad cylindricam L. RIL elere eD rccta ad) un
  5. curuam F D. Ouodtuic demonstrandum,
  6. eROPOSITIO CVII.
  7. Acus Cc eylindeus NL alticudinem haven AC PAtCM diatrietrO.
  8. Ponancur in platto peraxem ductorectangula B AC, BF. C Xqua-
  9. liaincer se, sicq; vngula AL. II secta plano BID, quod sic ad AN diame-
  10. trum normaliter consticurum et axi equidistans. Fact a deinde HIK, X-
  11. quali B F per AN d K punctum, hac lectio rngularis AF R.
  12. mili ferc
  13. Dico AID supelkciem ingularem a qualem esse rngulari superticici
  14. L
  15. TFXII.
  16. Demonsradio.
  17. discurst
  18. 10 Arch.
  19. medes 2si
  20. sed demonstrarum eAtcD IFTL superticiem
  21. aequalem esse rectangulo super BNV, ex dia- 111
  22. mecro baleos, hoc est rectangulo N B O, igi-
  23. Cur VE CA TIR ad HTL, ita CA TTIFR vn-
  24. sularis luperticies ad rectansulum NBC.
  25. sed ve TTK ad HT, hoc eA, quia BF est
  26. exhrpocheli agualis HR. VE BF, ad TIL,
  27. sinc BO, ica Mtojuelectangulum NBF. 2d
  28. NBO reltansulum. Bicur rectangulum
  29. NVBF. 2d 1DC eccangulum est er super-
  30. ficies vnemlaris AILK ad rectanrulum
  31. NBO. Accao ioItr NBF xqualis i
  32. est superficies rngularis TITFR: eA aurem ii
  33. ex supponcione rectanbulum NF aequale
  34. BAC, cectangulo. ISTuF HIIF K vngularis
  35. superticies rectanoulo B A C, aegualis est. ac-
  36. oui ostensum est d rectangulo lub B A 8
  37. diameero, hoc est ex liypocheli rectangulo B AC, xqualem elle luperticiem rnou-
  38. larem AFD. est icaque superticies AID ingularis aequalis FILFR Cuperticiei.
  39. Duodtuir demonstrandum.
  40. i Sc enim superheres vngularis FFF R ad
  41. Cuperhciem HFDL, ve HIR ad B FTL.
  42. AOTOSILIO LVII
  43. est prop. 1
  44. imens. ctt.
  45. 654. huins
  46. c 47. Buius
  47. d46. hu
  48. Aca SLVngula A. B C D cuius alcicudo B C par (IE diaMCEO AD, e
  49. arcus BL. in lemeneBD.
  50. Oporrear (uperarcu B. apel eoe guate qua il a
  51. qualis ingulari superticiei darae FOD.
  52. s
  53. 1.
  54. (e1 11
  55. 10.
  56. Con-
  57. m

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 999. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1056?run=74