Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 278

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: 0.84.

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

The machine reads it as

  1. agumm cuntu
  2. E LL FPSI5.
  3. (tIO LXVI
  4. VManEuESECtOres duIO B AC, D A F, sic verriangula ABC, ADF
  5. Dsinc xqualia: Si Sectores M limul lumpri, maiores fuerinc vel mino-
  6. Dicoillosincer (c equales esse.
  7. Demonstratio.
  8. enim non sinc aquales, lE B A C minot lectore
  9. DAF: cum igicur criangula ABC, D A F. sune
  10. aequala, erune B A C, D A F sectores limul cumpei
  11. aequales semiellipsi: Quod est concra lirpoclietim.
  12. igicur sectores BAC, D A F. non sunc inaqualeS
  13. ledaequales. Quod erut demonstrandum.
  14. PROPOSITIO LXVII.
  15. InE AB, BC diamerri coniugatae, ducta-
  16. que ex C recta quanis CD, duCATUT ex
  17. Demonstratio.
  18. Luna C D Orcariam in F, ducarut diamerer B C, d
  19. quoniam BF. aquidistac ordinarim posex CD ad
  20. diameerum B C ipla eriam est polica ordinacim d qui-
  21. dempercenctum, lunc ixitur coniugacx diamceri BO.
  22. BF. lunc aurem ex hypochesi CB, B A criam coniura.
  23. E. Eroo bseAorCB ABar es sectori G B P, dempeoque
  24. communi GB A, sectores C B C, AB P aquales exuie.
  25. Acqui sector CBD duplus cH lectoris C B G. erpolc-
  26. Ator CDD duplus quoque est sectoris ABF. 110d
  27. crac demonstrandum.
  28. ex OPOSTTIO LXVI
  29. I(CCTOTES ABD, ADF, AE C Sinc x qualos, du
  30. cancurquerecte DF. _ BC, ICcanS rECtaS AD,
  31. DIcbBF, VL, CC ellcaqualc.
  32. Demonstratios
  33. ins.
  34. Corollgs. ACqui sECtOreS BFD, BDOE, =constiruune semielliplm, er sodt sectoresBC. A.
  35. BD CF, Cemiclliptm constreuunt. Ouo derac demonstran dum:
  36. res lemiellipe:
  37. B linca B F parallela rectxe C D. iungacurque DB.
  38. tn
  39. e
  40. i
  41. eb0 huino
  42. E s1 Bain
  43. Dico DBC. lectorem duplum esse sectoris ABF.
  44. AF. in F _
  45. neut recta
  46. BD, FC, DC, DC. Ouin se
  47. ses ADF, AF C sunc xquales, eriam eriangula
  48. DE A 3xqualia sunc. ereo aequales sune recta
  49. DH. HC. Dein de qu llores A DB, AC L aequales
  50. sunc, eriam (exeC B D, F. C sunc a qualia. Froa C B.
  51. lunce paraluela. Anguli igitur GC H, EDH, a
  52. QuanCUF. LunErecO impuli qUOqS G HC, B HLE xqua
  53. les
  54. s st sute eos as i e ete ts t e tut te tete pete est tete e e t pite e t et p t ste e t e te se e pat te e te t e e te p 1 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 278. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0335?run=74