# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0038 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0038?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio - , page id 1815201908:0038 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=38 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000038.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. et A Y X R i a te V ni ariae ex incunde proprietates, circa aequalicates linearum, ex rectaneulorum cur quadraris, iem crianculorum ex trapeziorum inter se, denique rectanculorum, 5 quadratorum comparationes in sectionibus comueatis. pac. 561. à pr. 52. sque 65. par. 569. pr. 70.71. In omni hyperbold diameter transuersa, ejusque coniueata, ex rectum ficurae larus sunt in continua analocia. 567 pr 0. Ex quonis puncto asympeoti nius ordinatim positarum quadrata, sunt inter se vt la- tus rectum ad transuersum diametrorum coniucatarum. 568. pr. 67. Ordinarim quadam posita in hyperbola secante diametrum, erit quadrarum diamerrt ad reetanculum super tota diametro, es parte interiacente inter sectionem eS ordi- naiim ductam ve larus rectum ad transuersum. 568. pr. 68. Omnes diametri coniucatae sunt axibus proporcionales in quibusuis hyperbolis coniu- A RS YER TIA 568. pr. 69. Asysconum conemplatur hyperbolam, ac linearum prae- fermasimptotis aequidistantium exhibet proportionem. YAriae proprietates linearum paralletarum ad asymptotos, concinue S aiseretim proporcionalium. 571. pr. 73. ∞ sque 80. pac. 580. pr. 96. Item quatuor ex quinque continue proportionalium. 575. pr. 86. pas. 576. pr. 88. Imo ex septem continue proporiionales linea desienantur. Pde. 574. propos. 81. 82. 83. Item linea quae in duplicata ex criplicatdratione sunt aliaram. 575. pr. 84. 85. pas. 576. pr. 87. AE qualitates ex comparationes rectanculorum ex quadratorum, quae ex sectione pa- rallelarum ad asumprotos exsureunt. 576. apr. 89. ∞ (que 93. duatuor proporcionalium, quarum duae ni asymproco, alia alteri parallelae sint extre- mitates iuneuntur sic Et duas fieuras constieuant aequales. 579. pr. 94. A:qualicates erianculorum ex crapeziorum dutis parallelis determinatorum. 580. pr. 96. pas. 581. pr. 99. 100. 101. als aata. ulto. De sermentis Beroonis coa conum. demenasyperbollca condexd aequalia varys modis determnantur. 585. pro- pos. 106 paz. 588. pr. 114. pas. 589. pr. 115. Sermento conuexo hyperbolico seementum aequale problematice aufertur ab hyperbola. 589. pr. 117. Fmo 5 aequalia in infinicum seementa continuantur incipiendo a dato puncto. ibid. in Coroll. Irem seemerorio orovan barso roberto agsuatiio cbstesr ellat Guaende Dred cbn. Struetioneo 583. pr. 102. 2 (que 105. Conebte 585. pr. 107. 0 que 21I. Eerianeulis seemento hyperbolico inscripeis. e X