# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0023 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0023?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio - , page id 1815201908:0023 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=23 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000023.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.90 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. E L P N C H V S P ARS TF R TI A. Derectangulorum inter se proportione. Esionantur Ma aequationes rectanculorum es quadratorum quae oriuneur ex sermentis la rectae duusae aut in aequales, aut in partes maequales. Pas. 37. Equationesa morum problematice inveniuntur. 40. pr. 63. 64. 65. 66. Variae aequationes, e comparationes rectanculorum es quadratorum quae fiunt super lineis proportionalibus. 42. pr. 67. 68, pas. 43. pr. 67. 68.69. Problemata varia, de linea didendaant auzenda, sic vt rectaneula aut quadrata nata ex sermentis linea divisae inter se certam habeant rationem. 44. pr. 70. 71. 72. 73. 74.75,76, 77,78.79.80.81. 83.84. Data basi, accrecatolaterum, ex alticudine crianguli, exhibere triangulum. 49. pr. 83. C IBF R S F CV ND V S. Deproeressionibus Geometricis. L Desinitiones eressionum earum que explicationes. PA R S PRIMA Procressiones non terminatas considerat. Ontinue proporcanalium mirae proprietates. 59. pr. 1. 2. 3. 4. pas. 60. pr. 8. 9. 10. Proprietates aua serierum trium aut quatuor continue proporcionalium. 58. pr. 5. 6. Si sit prima ad secundam, e terria ad quaream, erit vt prima cum secunda ad terciam, ita omnes quatuor ad primam cum quarta, vel t prima cum secunda ad secunda, ita omnes quatuor ad secundam cum quarta. Pappiprop. 18. l. 3. proponitur 2niversaliter. Asionatur series proportionalium in proportione Arithmetica. Proprietates quaruor proportionalium etiam non continuarum. Decontinuato proportion alium processu variae es iucunda proprietates. 69. pr. 23. 24. 25. pas. 74. pr. 30. 32. Proprietates duarum serierum continue proportion alium eandem habentium primam. 71. pr. 26. 27. 28. 29. Datarum rectarum altera ita secatur zt partes linea secta cum insectâ sint in continua analosia. 76. pr. 36. Dacarum duarum atum t selat dteblb b s inselta Parrel nea sectae, ad residua linea quadratum, datam habeat rationem. 78. pr. 37. Data mediarium continue proportionalium, e acereeato linearum prima e tertian 0. PP. 500 Daramaxma e Cotarut, excessit quo media superat minimam, exhrbetur pr. 55.56.57,58.59, 60, 61. 62. Roumentum eS scopus huiuslibri. 11. 12. 13, 14. 15 65. pr. 16. 66. pr. 17 67 pr. 18. 19. 68. pr. 20. 21. 22. 1. par. 74. pr. 31. 33. 34. exhibetur primae testia. meua oitima 79. pr.3). Datto e ari p s se tte sat a e u et et p tet ot et st ste si ut ett pt eat estet st e su t et et e et p t ta t pt put 1