# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0043 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0043?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio - , page id 1815201908:0043 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=43 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000043.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 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. E; L F N C H V 5. Lodem modo quo quae dam punctamueniuncur ad parabolam, inveniuntur qua sol siralem. Pac. 697. P1.240 Prouc in parabo la desienantur seemenca continue proporeionalia in infinitum, ua es aspenantur suo modo in pprrali. 697. f. 2. tem prout in parabola mueniuntur seementa semper proportionalia cet s ans 696. pl. 2 Derra pa preptumtes inventae in vna parabola, axplicantur spirali. L LB ER S F P T F M V S. Deductu plani in planum. fimiciones es et plliciones ductuum plani in planum. P A R S P R IM A Superficies primo exhibet, quales sint determinat, viie omnes intersectiones ortas ex dultu rectilinei in rectilineum. Deinde corpora sic oducta inter se comparat. Trianculum rectanculum ductum in quadrarum aut rectanculum ejusdem ali eudims produce corpus habens quaruorhaedras planas, quarum intersectiones sunt linea rectae. 707. Pr. 20 Tmanculum rectaneulum in se ductum produrit pyramidem cuius basis est quadrarum. 707. pr. 3. Trianculum rect anculum in se subalterne ductum, pyramidem producit cujus basis est triangulum. 708. f1.. Erianculum rectanculum in se ductum sub alterne, aequale est dimidio pyramidis quae resultat ex ductu emsdemtriansult in se. 700. Pr. 1. Trianculi rectaneuli larus onum bifariam dividatur per lineam alteri lateri angulum rectum constituenti parallelam, sic vt trapezium à trianculo auserat, ostenditur il- lud crapezium ductum in se, ad idem ductum in se subalterne rationem habere quam 14. ad 13. 709. Pr. C. alia agnario trapeziorum in se ductorum in eodem aut similibus ex aequalibus trian- culis. 710. p. 1. Ostenditur proporcso parcium pyramidis divisae per interualla aequalis alcicudinis. 7I1. Corr. 2. Friancula, rectaneula, aur travezia tria sieandem habeant alticudinem, ex bases proporcionales, corpus ortum ex ductu prim in tercium aequale est illi quodoritur ex Varie comparaut Corpora ex auclu vario trianculorum, quae ex sureunt ex trapeziis 13. Bt. O. ll. St quaruor rectancula aut criancula in eadem sint alestudine, e bases habeant propor- tionales, corpus quod fi ex ductu primi in quartum, aequale est ei quo d orreur ex du- Atu secundiin as. 704 06. pr. 1. 11. pr. 8.9. 14f.160 Idem ininfinitum, hasuo modo dantur in spirali– 699. pr. 28. Vadracum in se ductum producit cubum. ductu medim seipsum. esam allicudinis per diaconalem L displane.