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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 370

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: 0.86.

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

The machine reads it as

  1. d1. Sexti.
  2. L AL
  3. Corollarium secundum.
  4. GF B exians ula Xqualia. PaFCE, CUM F F, P B aequales sine octenla, _ AFF.
  5. lROCOsIcIaCA.
  6. Demonstratio.
  7. IE ABC parabolx axis AD, cui in P OCCurraC
  8. contingens B E, policaque AC parallela con-
  9. tingene B F, demitracur ex B, linca B C aequidi.
  10. stans axi, ponacurBF, C FTD ordinacim ad axem
  11. AD, _BC producta occurrat concingenci per
  12. A ductxe in K: Ouoniam B F. coringens cst e BF
  13. ordinacim adaxem AD applicara, aequalessune
  14. linex 2 F A, F A. _ quia B F communis alcieudo
  15. est, triangulum F. BF, b parallelogrammo B A x-
  16. quale cst: TUrSUM VE AF aet AV, SICC F B qua-
  17. deacum ad quadracum CD, _ FK paralleloora.
  18. mum ad parallelogrammum DK: ve quadracum
  19. igieur F B ad quadracum C D cAt, (iC FK paraIIC.
  20. loccammum dadparallelogrammum DR, Led ve
  21. FB quadracum ad quadracum CD, AC F BA
  22. 19. Sonsi: eriangulum cadcriangulum C. A VSitur ve F K parallelostammum ad parallelo.
  23. Grammum DR, Sic F BF criangulum est ad criangulum A CD: _ permurando ve
  24. FR paralleloxrammum ad criane IH B F F, SiC D K parallelogrammum est ad
  25. criangulum ACD: aequalia aurem ostensa sunc, criangulum BF F. _ parallelo-
  26. exammum FK; xequalia igicur lunc DK parallelogrammum ec triangulum A C D:
  27. ex ablaco communi AOFTD, aequalla remanent. criangula AGR, CFTG. vndo
  28. cum similia quoque sinc ob AK, OLL aequidistances, xgualia sUnE LaFCTA FK G, C: FF
  29. _ CC, C A: diuisa igitur bifariam est AC. eodem modo si TK ponatur aequidi-
  30. AanS C A, _ Cx R diamerer pontAHC L. K occurrens B F. concissenti in L, oAten-
  31. decur TR in MI, bissecari a HCd B C: diamerer sisicur sectionis eAt B C: quare
  32. cum FB concingens sc qux cunque, alleoque et B HI queuis aequidistans axi, patee
  33. Ex quo sequicur diametros omnes inparabola cAe parallelas.
  34. Fanitur secundo rectas F A, G B, iECI AF, O F equales esse adeoque _ A F L,
  35. G F B criangula similia ob GB, F A aequidistances.
  36. Nparabola diamerri omnes xquidistane axi.
  37. .toniu
  38. Exorele
  39. Metta.
  40. diameeros omnes axi aequidistare. Ouod erac demonstrandum.
  41. PROPOSITIO XZ
  42. nlscontinseas pel callo
  43. nacalem ocamaciu pola
  44. ductas cumnus alanenoio
  45. uenH.
  46. Demonstratio
  47. Orca Mamerer BD, de ad illatu
  48. otcualim applicara C. aalurqu
  49. per A concingens, dico illam B D dia
  50. MClioCCiece: ductaenim diame
  51. na. Fam quoque D B, Proalca II. Duod erac demonstrandum.
  52. Perole
  53. hEg. huius, ErO A F ha quidistabit illa B D, vnaC CM A L lCCEC A L aequidistancium rnam, alce
  54. C0r01
  55. o i i pt 1 e e a t i p 1 ue e p e ne o a e i uu

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 370. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0427?run=74