# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0046 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0046?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio - , page id 1815201908:0046 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=46 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000046.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.94 # 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. AI A Y E R F A R V H. alia comparationes corporum orcorum ex parcibusellipsis, ex parcibus circuli. par 77 4 pr. 68. 69. Assirnancur parces parabolae, quae ductae in se proserunt corpus aequale illi, quod fit à se- micirculo dusto in se, cuius diameter aequalis est laterr recto parabola. 755. pr. 70. Semiparabola iam dicta, ducta in se aequatur semicirculo ducto in se, una cum man- euto rectanculo in se ducto, cuius latera anculum rectum continentia sint aequalia lateri recto parabola aut diameero dicticirculi. 756. pr. 71. Variae aequationes corporum ortorum ex parcibus circuli ductis in se, aut in alias parces circuli, aut etiam in parces parabolae, cum corporibus ortis ex ductu parcium parabo- la in se, aut in alias parces parabola, aut eriam in partes circuli. 756. d. pr. 72. 2 f. que 90. par. 769. pr. 96. Corporanata ex ductu parcium hyperbola in se, aut etiam in alias partes hyperbolae, a qualia, aut comparata corporibus natis ex ductu partium circuli in alias circuli par- tes. 766. à pr. 91. 2 que 95. pac. 769. pr. 97. 98. P A R S SE P TIM A. Conferi inter se corporanata ex ductu paraboliei inparabolicum. Torpori orro ex ductu parcium parabola in alias parabolae parces, aequale datur cor- pus ortum ex ductu parabolae in seipsam. 771. prop. 99. 100. 101. pac. 776. pr. 107. 108 pas. 777. pr. 110. 111. 113. aliae aequationes corporum ortorum ex ductuparcium parabola in alias parabolae partes. 772. pr. 102. 103. 104 pas. 775. pr. 105. 106 pas 778. pr. 112. Comparantur corpora nata ex du stuparabolarum in parabolas sub alterne positas. 774. pr. 10+. pas. 776. pr. 109. pac. 778. pr. 113. PARS OCTAV A. Corpora huc (que ex vario planorum in plana ductu, reducit ad cor- pora determinatam habentia basim es altitudinem. Orporanata ex parcibus circuli, ductis in partes circuli, reducuntur ad corpus ha- benspro basi parcem circuli, ex alsicudinem notam. 780. a pr. 115. 2 (quo 118. pas. 783. pr. 120. pas. 784. a pr. 122. 2 (que 125. Corporanata ex ductu partium circuli in partes parabola, reducuntur ad corpus habens basim cerram ex altiudinem. 782. pr. 119. pac. 784. pr. 121. pac. 788. pr. 126. Corporanata ex ductu partium ellipsis in parces ellipticas, comparantur cum corporibus ortis ex ductu partium circuli, in partes circuli. 787. pr. 127. Semicirculus ductus in se, corpus producit aequale illi quod fit ex parabola habente latus rectum aequale semidiametro illus circuli, duct a in altitudinem lateris recti. 788. pr. 128. Alicer determinatur hoc corpus, habenspro basi aliam parabolam es aliam alticudi- nem. 790. pr. 132. 134. Corporibus orris ex ductu plani circularis concaui in conuexum, datur corpora aequalia habentia basim mixtilineant, du parabola ex circulo, es certam altitudnem. 788. pr. 129. P48. 790. pr. 133. Corporibue ortis en midtilinea supersicio circillari et Parabolica aeat miatblineam de eo e. super