Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 528

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: 0.87.

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

The machine reads it as

  1. AI Z PE R B
  2. N Y T
  3. DN F3
  4. Eperbolam voco eoni sectionem cuins planum lacera crianguli
  5. peraxem sectione Fact a emetsentis ita intersecat, ve alreri illorum
  6. ACHHO EXITACONUII OCCUETAT.
  7. distanres bitariam dividic. Qua laut vero in hyperbola diaeter vocetur
  8. fecta, qux crantuerla, ex appolito cognolces scemate.
  9. IOnus ABC dinisus criangulo per axem
  10. ABC, SecCcuricerum pIaNO D F F OCCUT.
  11. reure verique lacerum erianguli per AXeM, CXxECZ
  12. conum: laceri AB quidem in C, laceri vero
  13. BC in D: recta D C diamecer dicicur eran(uer-
  14. Cahyperbolae DR E: hyperbole rero coniura-
  15. ex ipsD E F, recta vocatur de vicistim que con
  16. inoaex cransuersa est, huius dicirur recta. de qui-
  17. busin detin. 5. huius.
  18. Concrum hyperbolx punctum est.
  19. quod transuerlam diametrum bitariam
  20. diuidit.
  21. Si DG BILaTIAM SECCTE In FE. puticeum E
  22. cenerum dicetur hyperbole F D F ex quo p2-
  23. cer cenrrum hyperbolx esse exera seccionem
  24. quod vero omnis linca per cenrrum ducta et
  25. lixperbole gecyrrens, diamecer sic: (u0 locOP 2.
  26. cebic.
  27. Secciones oppoticaen Cune hyperbola, qua
  28. rum omnes diametri cran suer(x comunes lunt.
  29. SinE ABC, D FF sECFIORES OPPOHEK; ec ABC hy.
  30. perbolae cenerum C, Ponancur per C linca quorcun-
  31. que BF, D C, F R, occurrentes seccionibus in A, B,
  32. C, D, L F: recex ille communes dicuntur diamerrise
  33. crionum oppoticarum, eo quod Ciposris in lixperbola
  34. AB C ordinarim ad diamerrum A C X quidistances
  35. ponancur in lyperbola DF F, illae quoque ab cadem
  36. diamerro bitariam seceneur, adco9; ad candem diamie.
  37. trum ordinatim applicatx AHE:
  38. Ouodvero diameeri oppoliris secrionibus inceroepta
  39. in cencrobissecentur, Cuo locoparebir.
  40. Sectiones coningatas appello duas hrperbo.
  41. larum oppolitiones qua Mameeros crantuertas habene, quarum alceras
  42. alterius recta est, de ricilm secta, alcerius est rran uer la: live lunchyper.
  43. bola guta Conmgatas hab cH diametrOS.
  44. Sine
  45. Diameter hyperbolae eAt recta linea quae omnos rectas, cuidam equi-
  46. 1 e es e at st s te s t te e s 1 te ste est u t e e s te et e te e s e e te at et e e et te t t t . 1 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 528. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0585?run=74