Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 793

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. LAL L ANV H.
  2. E ausigi stenaus
  3. Demonscratto.
  4. Voniam A F G paxabOIS axis AC
  5. lacerirectoequalis est, linex Li P
  6. a aquales (unE AB, per hypochelim
  7. vero BC lineis Xquales sunEF BFP,
  8. rectangulis ABC 1a cl b AC, BF
  9. rectansulis ergo c Planum, FP du
  10. ecum in planum L. II. aequacur qua-
  11. dranci B L ducco in alcicudinem AC
  12. hioc est quadranci cxlindrico, cuius
  13. Dasis B F, alcicudo AC. Ouod CFAE
  14. demontr.
  15. rectangula iicur FR. FT aequalia sunE
  16. +LOTOStLtO CXLI.
  17. 1268a
  18. b
  19. lib. de
  20. ton
  21. SCD E F ductum in FIIxquari, parri cylindrice qux bali constae
  22. IIdem posiris:
  23. BI, _ alcCC AC.
  24. Demonstratio.
  25. LccanSua Li F TI aqua li LLMMELCCLAHSNS HI F L. V CUM quadratIS F F: SCd
  26. LLF F E rectangulis cciam xequalia octensa sUNE recrangUIA AC BF recrandula
  27. igicur AC BF. xequalia sunc receangulis FF F P vna cum quadraris F P. Rurtum
  28. recrangula AC BEi aequalia une reccangulis ACBI, ACIF, id est rectangulis
  29. AC BIrnacu rectangulis AC TF, id est F A C, id cst quadraris A F, id ost quadraris
  30. F F aequalia igituE suNE HIF F. reccangula vna cu quadraris F P. recrangulis A CBI
  31. via cum quadraris F F: quare dempeis communibus quadracis E R, cecranoula PTFi Fi
  32. aequalia lunc rectangulis AC, BI. Vnde planum FTI duccum in F F Corpus pro-
  33. dueic aquale plano B Y ducco in planum F R, Hroc est plano Bt, duceo in alcicu-
  34. dinem A C hoc est porrioni cxlindrice cuius basis B L alcicudo AC. Ouod erar de-
  35. monstrandum.
  36. POSITTO CZLI
  37. Vper AC quadrati lacere vnoAD, deseri.
  38. inera d parabolas cadet.
  39. quari corpori quod oritur ex ductu F L in alti
  40. cudinem AV.
  41. ptus sc Semicirculus AP D: descripex quoq.
  42. Sine parabole similes _ aquales AEC, DFB
  43. habentes apices in A e D, e communem axem
  44. AD aequalem laceri recto, corusigitur circulus
  45. Dicocorpas oicum ex ductu IIFIM 6L, 2
  46. Demonstratio.
  47. ( (CE EF CX CF C C
  48. Ao26. pa
  49. Veantur intinire OF F. TFT parallele ad AB X iunBC A T, C L FCCEX A T Xequales
  50. TUnCTTE, _ DIrecTA aquales sunE FIF: est aucem AD lince aequalis FIC cum
  51. AC quadracum AE, IBIEUEVE D A ad AI, CC C FI ad FIF: sCd vE AD ad A T, siC
  52. DP Cs ad LFI, isitUT CHL ad P. FI, AC D Lad THI, id eAt F FI adTFT; _L BEF COnUEE. CPac Cd
  53. LLalMa3
  54. AOC 6. senti.
  55. e e e iat e e e e t et it a i a s A

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 793. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0850?run=74