# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0022 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0022?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio - , page id 1815201908:0022 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=22 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000022.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine # Lines: 47 recognised, mean confidence 0.89 # 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. GLENOIVS MATERIAEVM QUATOTOHOCODETECONEIHENEUI. L I B F R P R EM V S. Delinearum potentiis. P A R S P R I A A. De varia linearum inter se proportione. ea ditisio excrema ex media ratione proporcionali; aliaeque propositio- nes ex hac divisione eruuntur. PaB. 2. Pr. 23. 4. 5. 6. 7. 8. 9. 10, 11. 12. 13. In eadt M basi consticuris duobus trianculis inaequalis marnicudinis, duci- turlinea parallela bast, 2e partes linea inter lacera trianculorum interceptae datam Datis auabus rectis, rectae adduntur vel detrahuntur in data ratione, vel compositae vel reliquae datam habeant rationem. P A RS SFCVHVA. Detrianculis eorumqe proprietatibus. 14. l5. habeant rationem. De trianculis isoperimortis. 9. Prop. 16. 3Pr. 1B. 21. Pr. 19, 20. 22. 22. pr. 21. 22. c. pr. 23. 24 Varia problemata absoluuntur dato anculo, es intra vel extra eum puncto, circa li- neam per datum punctum in data ratione diuidendam. 23. pr. 25. 26. 27. 28. 29. 30. Irem ijsaem datis exsom una s uo o a m exbeant re- Proprieratestcum orum ortorum ex varia inscriptione parallelarum in trianculo. Proprietates gutu qua orcun la caltins ianu, conatorum c qua Pythazoricd aliter sl.Lrop. 12. (G. b. 2. CMb. aonaltor eodemt as- sumplorum. Rianculiisoscelis proprietates. Proprietates trianculi rectansuli imo ex dato aequale exhibetur. 27. pr. 36. 37. 38. 26. pr. 34.5) dratis aneae ex ono an a susi aurva. 28. pr. 39. 40. A1.usa cursu constructione qua Pytharoras 2 sus prop. 47. P.ucl. 30. pr. 43. 44. 45. In dati paralletoeramm aores continue proportionales assenantur. 33. pr. 46. In paralleloerammo, diamtot quddrata aqualia sunt quadratis laterum simut 46. pr. 47. Datoerlangulo obeusaneulo, lacus obcuso anculo opposicum ila dividitur; d quaas ermentorum aequalia sint quadratis reliquorum laterum. 4. pr. 49. Varia problemata circa criansulorum duisionem per lincamrectam. 34 pr. 50. 5l. c 54.