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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 695

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: 0.85.

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

The machine reads it as

  1. DC
  2. ac
  3. XMI.
  4. DC
  5. CUH
  6. ecta
  7. FUM.
  8. hob
  9. SD IR AL +8.
  10. CAC A HI, ad IE A NY hOC CsVEG A ad K A. D WATE CHIM CK HY POTHCHOM
  11. bilecta sic in K, circulus duplus ericellipseos, sed etiam lpiralis prima
  12. dupla est sccunde. Frgo ve circulus ad elliplim ica spira prima ad securii
  13. dam: ee permucan do ve circulus se habet ad spiram primam hoc est suam.
  14. ica elliplis ad secundam hoc elteriam ad Tuam, ac proinde licur circulus
  15. eriplus est lui spacii nempe spiralis spacii, sic e ellipss cripla eric spiralis
  16. spacii lui A IFB. Nerird icaque dicecur spiralis elliprica. Quod crar de-
  17. monstrandum.
  18. PROPOSITIO XXIV
  19. Dauslelosrammum rectansulum AF.
  20. L hrabeac latetae, CE limilicer divila
  21. in punctis B, d D, ductilque B O paral-
  22. lelis ad AHI, ex A per puncti D delcri-
  23. bancur rectae quae parallelis occurrane in
  24. punccis C.
  25. Dicopuncta C esse ad parabolam.
  26. Demonstratio
  27. Darallelarum vna BC produeaent donec oc
  28. CUITEAC ipA AF in puncto F. AF CA ad F P
  29. ve AB ad BC, scd AB est ad B C VE C D ait D F,
  30. sunc enim AC, F F. Similicer secta ex hypochesi
  31. ErgO AF est ad FF G ve CD ad DP; hoc est
  32. (quemadmodum exelem. Facile demonstrabicur)
  33. veBGadCF. Ergo paret ex 5. Archim. de qua-
  34. dracura parab. punctum C esse ad parabolam. Si-
  35. milicer ostendemus de quibuslibet punctis D. Parecigicur propolicionis reritas.
  36. APPLICATIO SPIRALL
  37. punces D, D, a B, B: Duccis aurem
  38. exCEHErO A ad pUIHEtA D Fecris A, D
  39. cenero A per lingula puncea B ducan-
  40. eurarcus BC; ea ratione quain Rour
  41. exhibec, occurrences linels AD
  42. Puncris, C:
  43. ir
  44. DEripaeria primaculi eiulque ra-
  45. dius AC Crmilirer sine diuita in
  46. Dicopuncta C ad spiralem esse
  47. emonotro.
  48. ria ehimradius AC, dPeripheria cir.
  49. culi similicer sinc diuilx in puinctis, B, B
  50. s DD, crir ve AB, 2d BC, hoc cAvEAC
  51. ad CD, ica arcus C Dad religuam periphe-
  52. riam DDC. Ex quo parec punctum C5 ad
  53. 69
  54. quis et punctis.
  55. retiptie
  56. spiralem esse. Similicer oltendemus de teli.
  57. a eo ca, score pta pune Patis plcto A in parabola, radius A C; e
  58. Cct
  59. se t es e e e te t tes e e ite ste us 1t. e t e. i Ae s. . . . 1 11

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 695. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0752?run=74