Search the Nachlass

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

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: 0.90.

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

The machine reads it as

  1. et A Y X R i a te V ni
  2. ariae ex incunde proprietates, circa aequalicates linearum, ex rectaneulorum cur
  3. quadraris, iem crianculorum ex trapeziorum inter se, denique rectanculorum, 5
  4. quadratorum comparationes in sectionibus comueatis. pac. 561. à pr. 52. sque 65.
  5. par. 569. pr. 70.71.
  6. In omni hyperbold diameter transuersa, ejusque coniueata, ex rectum ficurae larus sunt
  7. in continua analocia.
  8. 567 pr 0.
  9. Ex quonis puncto asympeoti nius ordinatim positarum quadrata, sunt inter se vt la-
  10. tus rectum ad transuersum diametrorum coniucatarum.
  11. 568. pr. 67.
  12. Ordinarim quadam posita in hyperbola secante diametrum, erit quadrarum diamerrt
  13. ad reetanculum super tota diametro, es parte interiacente inter sectionem eS ordi-
  14. naiim ductam ve larus rectum ad transuersum.
  15. 568. pr. 68.
  16. Omnes diametri coniucatae sunt axibus proporcionales in quibusuis hyperbolis coniu-
  17. A RS YER TIA
  18. 568. pr. 69.
  19. Asysconum conemplatur hyperbolam, ac linearum prae-
  20. fermasimptotis aequidistantium exhibet proportionem.
  21. YAriae proprietates linearum paralletarum ad asymptotos, concinue S aiseretim
  22. proporcionalium.
  23. 571. pr. 73. ∞ sque 80. pac. 580. pr. 96.
  24. Item quatuor ex quinque continue proportionalium.
  25. 575. pr. 86. pas. 576. pr. 88.
  26. Imo ex septem continue proporiionales linea desienantur. Pde. 574. propos. 81.
  27. 82. 83.
  28. Item linea quae in duplicata ex criplicatdratione sunt aliaram. 575. pr. 84. 85. pas.
  29. 576. pr. 87.
  30. AE qualitates ex comparationes rectanculorum ex quadratorum, quae ex sectione pa-
  31. rallelarum ad asumprotos exsureunt.
  32. 576. apr. 89. ∞ (que 93.
  33. duatuor proporcionalium, quarum duae ni asymproco, alia alteri parallelae sint extre-
  34. mitates iuneuntur sic Et duas fieuras constieuant aequales.
  35. 579. pr. 94.
  36. A:qualicates erianculorum ex crapeziorum dutis parallelis determinatorum. 580.
  37. pr. 96. pas. 581. pr. 99. 100. 101.
  38. als aata.
  39. ulto.
  40. De sermentis Beroonis coa conum.
  41. demenasyperbollca condexd aequalia varys modis determnantur. 585. pro-
  42. pos. 106 paz. 588. pr. 114. pas. 589. pr. 115.
  43. Sermento conuexo hyperbolico seementum aequale problematice aufertur ab hyperbola.
  44. 589. pr. 117.
  45. Fmo 5 aequalia in infinicum seementa continuantur incipiendo a dato puncto. ibid. in
  46. Coroll.
  47. Irem seemerorio orovan barso roberto agsuatiio cbstesr ellat Guaende Dred cbn.
  48. Struetioneo
  49. 583. pr. 102. 2 (que 105.
  50. Conebte
  51. 585. pr. 107. 0 que 21I.
  52. Eerianeulis seemento hyperbolico inscripeis.
  53. e X

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0038?run=74