Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 969

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: 0.89.

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

The machine reads it as

  1. VNGVLA CFLTADRICA.
  2. Demonstratio.
  3. seomencum B ALVL, VEF FT ad F. P. Smilicet
  4. per praecollencem lESthencum C B MK N est ad
  5. Scomencu NC VL, Ve FFI ad C9, hoc est.
  6. (quia GO, E. P XGUanEUF) VE FHI ad F P, hoc
  7. est re idem rurlus leomencum CBMRN ad IC
  8. EmenCUM B AIM; Segmenca isitur B A TM,
  9. NCDOL aequalia sunc. Quoniam igieur se
  10. emencum C BMRN es ad singula segMenFA X
  11. qualia B AIM, NC P L, ve recta F FI est ad
  12. angulas aequales lincas PP, G9, crir scomen-
  13. cum CBMKN ad duo aequalia Cegmenca
  14. BATM, NCDOT Cmol Cumpca, verecta FFI,
  15. ad duas aequales rectas P. P, C+O) CimuI sumPCaS.
  16. Duod oporrui demonArare.
  17. Scholion.
  18. 969
  19. DEFPEXCCdeNEEM SESMENEHIC BRMN est ad
  20. samus per semicirculum in se
  21. mus qualis sit ea cylliait pats.
  22. quae circulo in se ducto aqualis
  23. ne ratione ad partes cylindricat
  24. reducantur. Sit itaque semicir-
  25. Cemicirculo, qui ita constiruan-
  26. Ossensum est propositio.
  27. ne 26. libri de ductit
  28. plani in planum, qutu cat
  29. ductum ex simul demonstrani-
  30. mus solidum inde productum
  31. esse veram cylindri partem.
  32. rerum postulat huius loci ratio
  33. sequentium proposiionum
  34. clarior explicatie, vt ostenda-
  35. sit, e quae ejusdem partes qua
  36. culus ABC aequalis ADC
  37. tur inter se, ut ad rectos an-
  38. sulos eorum plana insistant
  39. habentes communem dia-
  40. metrum RC. ex sccundum
  41. explicatum n se invicem du
  42. cantur, ita ot pidauantfn-
  43. dricas supersicies, scilicet FC
  44. es CLL sitg C planum el
  45. lipricum. quodnoc corpus aiui-
  46. modum in lioro ac aultibus
  47. dic. quonam omns inea lF
  48. aequales sunt rects LII: produ-
  49. cext linea, IF, dC ductae in
  50. lineas L H. quadrara infinita LF C F quorum diamerri erune in plano elliprico LC, ila-
  51. erit FC sinc d lted uort abet dasti et s udse a
  52. Sa
  53. que solidum AB F. D C Carpitco plano LChanas aguaus patuseutsum, quarum vna
  54. aaeeeoo a o

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 969. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1026?run=74