Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1029

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: 0.88.

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

The machine reads it as

  1. HOVL A P A R ABOLTCA.
  2. tROPOSTEIO AOTII.
  3. 1023
  4. IEA B axis parabolX CDB, e ingula parabolica ABL. C in luo cs-
  5. lindro AC. O E B; polito deinde lecunaM TeCAM DL CAMLEHCeM In
  6. Superticie cylindri plano C BF. O, extibence in plano parabolico AL. C
  7. quod ongulam cerminat communem incerlectionem OF, in bali vero
  8. cylindrica OM F recram OF; diuidatur C B bitariam in KE, ee per K pla-
  9. num ponacur parallelum plano ABE, secans superticiem exlindri secun-
  10. dum receam DM parallelam B F; planum vero C B F. O, lecundum re-
  11. Ctam IE P occurrentem linee CF, in puncco l, (in quo iptam R P bita-
  12. riam diuidi pacet, luncenim CK, P F aquales, _ parallela, ac proprerca
  13. VE DE ad C K, sic P L ad IH) divisain suip er D MI bitariam in FI, PeF re-
  14. ccam CPE, e punccum H secrio hac, Formans in superticie cylindri li-
  15. DeaM C LI E, _E (UM DEOIN FCCCA D HTMI, puncco quonis F, peF C F XF,
  16. 2gc planum quod Faciac in exlindri superticie lineam C F F, ponaturque
  17. per laequidistans reCTE C B rCCEA NIC, per quam e puneca HI d F, a-
  18. Bantur planA NHIG, NFC.
  19. Dico Colidum planis CHE, CFP. cerminatum aequari magnieudini
  20. quae claudicur planis NFO, N H16.
  21. Demonstratio.
  22. Vngantur lF, IF, CFT CF, GTT, GF, de
  23. NH, NF, FHI, P F. quoniam planum
  24. LDM aequidistac rectis BF, CO, CrUNE
  25. binae prramides IHEN, IHF C; irem bi-
  26. nXe THEC, IHFE aquales dux ioicur
  27. IHEC, IHTF E aequantur duabus ITIFN.
  28. TITFC. Acque hoc iplum demonstrari po.
  29. rest de aliis quanticacibus gux Formari pol-
  30. sune pet subdivisionem lesmentorum CD.
  31. DB in duo aequalia segmenta parabolica,
  32. conrinuando eandem constructionem in-
  33. scrixeionis qua vu sumus praesenei proposi
  34. tione s praecedenri: igitur per c2a que de-
  35. monstraca lunc libro de proxressionibus
  36. Ceomerricis constat quancicarem ongula-
  37. rem NEIFC aequalem esse magnicudini
  38. quae continecur planis CHI F, C FP. u0d
  39. Fuic demonstrandum.
  40. cReTOSITIO
  41. XC IV
  42. ecctu rata palaboa a lello
  43. L. tL Quouvai aguenie cma cee AD onalatum I. pertacu
  44. AIB aris, sccundum quem hac secrio exhibens in cylindri superticie re-
  45. ctamm B C occurrencem secrioni P. PL, in puncto F. polcis in (UpCF P P,
  46. FL, et AB, BD, plana conAiTuanEuT ABC, DBC, _ L F C, L. FC quo
  47. am
  48. a Cylindro decussata ABCD plano

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1029. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1086?run=74