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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 143

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. erie
  2. e
  3. DAE.
  4. 2
  5. GE OMETRIC A.
  6. Demonstratio.
  7. ErieS quadraTOrUM MIK, 1X - 2 139. hM-
  8. quatur rectangulo O AB. 8x ins.
  9. Teries quadeatorum NR, rC-
  10. cangulo PFC aequalis cA.
  11. Acqui racio rectangulorum
  12. OAB, PF C exlacerum AB,
  13. FO, _ AO, FP, rationibus
  14. componitur, ergo criam lcrie.
  15. TUM NIK, NR, ex iildem ra-
  16. cionibus proporcio componi-
  17. cur. Ouod crac demonstran-
  18. dum. Sed hoc Theorema vni-
  19. vertale reddamUS.
  20. PROPOSTTIO CZLIV.
  21. Adem manence Rgu-
  22. Lsta, daca linc series bi-
  23. na planorum similium,
  24. quarum longicudines lunE
  25. AK, FR: lIFAUECM AR
  26. amila in C, in ratione AB ad BC, e F R in P, in racione FC, ad G FY.
  27. Dicoleriem plariorum similium MI, ad feriem planorum limilium
  28. AFR, habere rationem compolicam exracionibus AB ad FG, e AO
  29. ad FP.
  30. Demonstratio.
  31. pex ijdembalibus hanebinae quadratorum leries, de lineis CD, HI, Xquales
  32. fiane aB, EC: deinde ve Aa, ad AB, et BE, 9d F C Hac quadearum A B, ad AB
  33. quadraru, ee quadratum F.C ad quadratum P. B. ieaque quadracum super ABx qua bi
  34. cur b seriei quadratorum MR: planum vero super AB simileplanis A S BT, EiV.
  35. GX, ec. aequabicur seriei planorum S R: Cimilicer ab alcera parre quadracum lu
  36. per FB Cerici quadratorum NVR, e planum simile super cadem FiB, planorum (c-
  37. riei V R aequalia CrunE. Ieaque series planOrII SK est ad seriem planorum V R,
  38. replanum super AB, ad planum FB: Irem series quadeatrum MK est ad seriem
  39. quadracorum N R, ve quadrarun super AB, 2d quadeacum super F. D. Aequi pla-
  40. num AB est ad planum F B, vequadracum A B. 2d quadracum HD: (cum enim cam
  41. quadraca, quam plana ex constructione sine similiq veraque sunt in duplicata ration
  42. nis AB ad F8:) ergoseries planorum S R cM ad seriem planorum V R, ve scries
  43. quadraEOrum AT K 2d Teriem quadracorum N R. Acqui per precedent. leries qua-
  44. dracorum MX ad seriem quadracorum NR, rarionem habet compolicam, exracio-
  45. tBuS AB ad F CI, eE AO ad F P, ergo _ planorum series S K ad seriem planorum
  46. VR, racionem habec ex ijdem racionibus compolicam: quod eruc demonstrandum.
  47. PiOPO5II1O CLL. V.
  48. 3130. Lu-
  49. Laca tulaulatotula alao Uliul ei lcul lto Lactin
  50. aqualibus quadacs elpientes: sicque linca S Cericirarionis primae
  51. AB ad cerriam C O, Gue linea T, Ccricirationis DP. primae ad Cer-
  52. Dicoleres quadratorum cam proportionem habere quam linea, 5, I.
  53. Ddemon-
  54. ctam Ll aqualis.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 143. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0200?run=74