Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 179

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: 0.76.

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

The machine reads it as

  1. 1
  2. Jucent
  3. endim
  4. uod
  5. iliaco
  6. Ii
  7. eed
  8. CC
  9. d
  10. IR CVL VS
  11. xequalis duobus rectis. Sed anguts B F H, Per Comuuectonea cA aequalis angulus
  12. scomenti CGB. lgitur C DB alsulus, una cum angulo defueli C GB duobus
  13. rectis es aegnalis. quare punctum D est in perimerro circuli C FB _ AC linea
  14. cidem bisoccurrie: quare cum E. D Parallelostammum C: Pacee FB, I D lincas
  15. aquari.
  16. Sccundo, C D linea in directum posica se, cum AC, _ recta BF requidistans
  17. baCI A C; IAnGAnEUE AF; _ BP PaC A F OCCUEEenS AC in
  18. D. Duoniam AC, BF, icem AF, B D agaa, eric angulus C AF (id est
  19. CDB in sccunda ficura) una cum angulo B E A (id eA BDC in prima fxura)
  20. Terrio, recta C D cadat intra balim erianouli A B C, occurrens circulo BCD, in
  21. D; _ circulo ABC in R; ita tamen re ducta B L Patallela iphC D, cadac supra lo-
  22. tus AB, dico BF, D F lincas esse incer se aequales. allacur enim ex L per A linca
  23. Occurrens BF in F iungancurque BD, cum isicut legmenta BDC, AFC
  24. similia sinE, cric angulus BD C, aequalis angulo AF C, adcoq: BD, FF. linex x qui-
  25. distances. vnde F D parallelogrammum cM ex FB, D L. lacera aequalia. Rursum an-
  26. sulus R F B ona cum angulo F F. D id est angulo Cesmenet LGB aequalis est duobus
  27. rectis: quare punctum F, est in peripheria circuli A F B. M le cunda vero Roura, quia
  28. angulus BD C id est AB C una cum angulo AP C, duobus rects e X Guats, CtuC
  29. BD, AP parallelE: Teliqua veantE.
  30. OVareo, SE B F linea eadem cumre-
  31. At2 AB; duCaTUE ex C recta C F aequi-
  32. dictans A B: iunctague E R, deMIETaTuE
  33. ex B recta BD, qua aequidister F F:
  34. DCCUTTeNS C F. in D: OAendetF vE
  35. prius punctum D esse communem in-
  36. cerlectionem circuli BDC, ex rectarum
  37. BD, CF: quare cum EB, CF _ BD,
  38. FF, SinE aequidistAnTeS, PATCE FB, F D
  39. xquales esse.
  40. un
  41. st
  42. t
  43. litte25
  44. 1
  45. iet e 1 ua . 1
  46. 111

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 179. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0236?run=74