# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0047 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0047?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio - , page id 1815201908:0047 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=47 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000047.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine # Lines: 64 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. 111 T F N C. HI V S superficiem ex parabolica ex circulari, dantur corpora aequalia habentia superficiem eiusmodi mixcilineam ex certam altitudinem. pas. 788. pr. 130. Corporibus ortis ex ductu circularium convexorum in convexa, datur corpies aequale ba sim habens mixtilineam ex circulo ex parabola, ex certam altuudinem. 790. pr. 135. pac. 796. pr. 147. 143. pa5. 797. pr. 150. PaC. 300. pr. 155, 156, pa5. 801. pr. 158. 159. Corporibus orris ex ductu circularium concanarum in convexas, datur corpus aequale habensbasem parabolicam ex certam alcirudinem. 79L. pr. 136. pac. 792. pr. 139. Pag. 798. pr. 151. pac. 801. pr. 157. pa5. 802. pr. 160. Pa5. 808. pr. 175. Corpori orto ex circulart concauo in conuexum, darur aequale orrum ex ductu parabola concaua in convexam. 791. pr. 137. Corpori orco ex connexo circulari in se ducto, datur corpus aequale basim habens parabo- licam es certam altitudinem. 791. pr. 138. pa8. 795. pr. 146. pa5. 797. pr. 149. Idem fit de corpore nato ex circulari concauo in se ducto. 798. pr. 152. 153. Corpori orro ex ductu circularis convexi in convexum, datur corpus aequale habens ba- simparabolicam ex certam altitudinem. 795. pr. 145. Corpori orto ex ductu circularium concauorum in concaua datur corpus aequale habens basum mixtilineam ex parabola e circulo, ex cerram altitudinem. 799. pr. 154. Corporanata ex ductu superficierum mixtarum ex circulo ex parabola, reducuntur ad corpus habens basim erianeularem ex alticudinem notam. 789. pr. 131. Corpora nata ex ductu parcium parabolae in partes parabolicas subalterne positas, redu- cuntur ad corpora cylindrica habencia altitudinem notam. 792. pr. 140. 141. 142. Corpori orco ex ductu parabola conuexae in se ipsam, datur corpus aequale habens basim crianculum, es notam alticudinem. 803. pr. 161. Corpori orro ex ductu parabola concana in certam altitudinem, datur aequale corpus ex trianculo in se ducto 804. pr. 163. pas. 806. pr. 170. Corpus ortum ex parabola convexa in concauam, reducitur ad corpus habens parabo- licam basim es notam alticudinem. 803 pr. 162. Corpus oreum ex sermento parabolico convexo ducto in cerram alticudinem, datur ae- quale corpus ex ductu trianculi in seipsum. 804. pr. 164. Corpori orto ex ductu superficiei parabolica concaua in convexam, reducitur ad corpus habens basim triancularem, ex certam altitudinem. 804. pr. 165. Variae aequationes ex ductu segmentorum parabolicorum in alia parabolica sermenta aut incriancula. 895. pr. 166. 167. 168. pac. 807. pr. 172. 173. pac. 810. pr. 178. 179. Sermento parabolico concauo in se ducto, datur corpus aequale, habens basim parabo- lam concauam, e certam altitudinem. 806. pr. 169. pac. 897. pr. 171. Corpus orrum ex sermento mixtilineo circulari ex parabolico, ducto in certam altitudi- nem, datur aequale corpor orto ex sermento circulari ducto in alccudinem determi- natam. 808. pr. 174. Datur corpus orrum ex parabola ducta in certam alticudinem, quod ad semicirculums in se ductum habeat rationem quam linea ad lineam. 809. pr. 176. Corporr orto ex ficura quam constitut rectanculum cum semicirculo eiu (dem altirudi- nis, in se ducta, datur corpus aequale quod basim habeat notam ex datam altirudi- nem. 810. pr. 177. Datur corpus habens alticudinem certam aequale corpori nato ex semiparabola convexa ducca in supersicrem concanam, se d subalterne positam. 8I1. pr. 180.