# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:1128 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:1128?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 1071, page id 1815201908:1128 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1128 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001128.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 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. OAOIDES PARABOLLEYH Demonsotum. DEmonC CM conoides ACCB inclusu suo cylindro, eam rationem conri- nere ad ParEeM CO- noideos DE FK in- clutam (uo Cxliiideo super ba(I D E F, quam cxlindrus ad cxlindeu: sed cplindrus (uper AOCbalI e alcicudi- neBII, ad cylindrum exaltitudine RP _ BaS D F F, rationem habCE COmpOSCZ CX ratione Ba(COS ACC ad balim DP F, e ex alcitudine B FF ad alticudinem R L. Tgitur eriam racio conoi- dis AGC B ad ParECM D F F K ex ii idem est Compolra. quod auEem RL sc alci- cudo parcis absci x DR. F R inde Parec, quod IK Scdiameter sectionis FK D bita- riam (ECanSD F, e consequenEeF K I maxima linearum quae axi xquidictane; ve pa- cet ex 47. Parabola X 5. 2. ac proinde eriam K L longissima normalium quX Cx quo. vis puncto perimetri F K D ad FD potsune demicei. P ROPOSITIO CLXIV. Hconoides A BC sectum duobus planis parallelis DE F, OYTT Sed in- Oclinanis ad axem; ducto deinde eriam alcero plano ABC per axem BK, quod sicrectum ad plana DF F, GITI, exhibens communes incerse ctiones FD, LG; quibus in L. _ MI bilectis pOnanEUE B L NI, QE FB. Dicoparres conoideos BDF. F et BCFII, eam Corriri rationem, qua cA incer iriangula BMF, e BL. N. Demonstratio. tuE quaevis PS R O, quae xequidistet F M. crüE biraque OL, TL, NL; icem PO SZ. RG proportionales. quare per propolicionem quadra- selimam quincam libri de ductibus maonicudo constans bal criangula F BM, e alcicudinc ob- ligua FMI, aequabitur solido, quod emersit ex ductu BTSFnI in sC secundum eandem obli- quicarem anguli BMIF: vndecciam pars ina- snicudinis constans bahi criangula BNL. e alci- cudinc obligua FM xequabitur Colido, quod AE ex superticie BII in sc ducta secundum candem obliquicarem. Cum isirur hec prismaca conve nianc alcicudinibus, inter le rationem colequun. tur que incer balestriangulares invenieur. Vnde etiam BIS FMI in sC ductum candem habet ra- tionem ad parrem B IF ductam in sc, quam continererianoulum BM F ad criangu. lum BL. N. Ced ouam proporrionem habeclolidum ex ductu BTSEMT in Ce, ad BFL inse, eandem haber conoidis pars BD F: F ad parrem conoidis BGFTI, quia ellipsis D F Fad clliplim OTII, vel ad quamcumque aliam eidem parallelam ean- demrationem habet quam quadracum PM ad TP. quadearum vel quoduis aliud inter- DErsiciacur paralle lo Srammum N F, ex pona- 21B2. Ba i e i i ie e e us sie s e tui to e s i ie ee ie p it ust e p ue e p ue s a pe 11