# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0034 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0034?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio - , page id 1815201908:0034 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=34 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000034.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine # Lines: 58 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. d. O riu 33. es 6. 6. in ∞E At A Y B R L A R V M. Determinatur circulus maximus qui parabolam intus in ono tantum puncto contin- eat. Pa5. 4.20. pr. 136. Ex dato in axe parabolae puncto linea breuissima ducitur earum quae ex illo puncto ad peripheriam duei possunt. 420. pr. 137. Decirculo secante parabolam in quatuor punctis, eiusque proprietatibus. 42 1. pr. 138, 139. 140. Puncta circulorum, item linearum secantium parabolam Geometrice desienantur. 422 a pr. 141. 2 (que 145. Determinantur parabolae ad eundem axem constituta numquam concurrentes, sive parallela interse. 424. pr. 146. Determinantur parabolae sibrinuicem occurrentes, intersectionum que puncta. 425. a pr. 147. 2 sque ad 152. e ARS OV AR FA Proprietates parabolarum se invicem, aut circulos contingentium, intersecantuum. DRopriecates duarum parabolarum ad eundem vercuem es axem constuutarum, sic 2t vna intra aliam contineatur. nijs septem continue proporcionales inueniuntur. 429. pr. 153. 154. 155, 156. 454. pr. 217. Proprietates parabolarum ad eundem verticem arem, aut ad solum axem consti- tutarum, sic xe parabola parabola opponatur. 431. pr. 157. 158. 159. Proprietates parabolarum inuer se ad eundem axem constitutarum, sic ot apex vnius intra alteram parabolam sit. 432. pr. 160. 2 que 164. pas. 443. pr. 188. 189. Pa8. 4+5 pr. 192. Proprietares parabolarum ad eundem apicem constitutarum, sic t axis aut diameter vnius rancens sit alterius. 43+ pr. 165. 166. 167. pa5. 136. a pr. 171. v sque 174. pac. 140. a pr. 181. ∞ sque 165. Tuillis parabolis suc constuuris linea defoenantur, quae alcarum linearum duplicatam, triplicaram, quadruplicatam, imo octuplicatam habeant rationem. 437. a pr. 175. 2 sque 180. pas 442. pr. 186. Propretates parabolarum sic adeandem tancentem constuutarum, ut dametri per puncta contactuum dimissa, parallelae sint. -435. pr. 168, 169. 170. Pas. 444. pr. 190. 191. Proprietates parabolae sectae bis per circulum. 445. pr. 193. 194. pas. 451. pr. 206. 207. Proprietates parabola quam interius tancit cireulus. A16. à pr. 195. 2 (que 203. Proprietates parabolae quam taneit circulus ex in duobus punctis praeterea secat. 450. pr. 204. 205. pas. 453. pr. 211. 212. pas 454 pr. 213. Proprietates parabolarum subalterne positarum ad eundem axem, quas in verticibus 451. pr. 208. 209. 210. tane circulus. Problemata cirea diuisionem i cela alort fod pet tet soltio parcobea. 454. pr. 213. 216217.