# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:1027 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:1027?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 970, page id 1815201908:1027 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1027 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001027.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine # Lines: 24 recognised, mean confidence 0.85 # 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. YNOVLA OPLINDRLCA. aperz. ha. Feurasolidd OPO, ex quia demonstrarum est unam onculam ad vnculam alieram eam 113. proportionem servare quae interearum altitudines, nempe lineas SL, S V existit: ( linea ST aegnalis sit recta TV, es secundum rectam OO, e VF punctum, sectionem comin- catfieri, tunc vngula PR, dupla erit vnculae P O sive T. NM, sive IFC, Sea FLductum in FII. duplum est solidi TF C, hoc est L. N NI, hoc est O P O: isitur LL du- Etum in III. aequale est ongulae PR, quoties igitur mencio fiet semicirculi in se ducti, subeat inmantem onculae POR, quae est pars cylindri abscissa plano quae fit per aliquam diame. rum O habentem altitudinem S V. aequalem diametro baseos. O. neaeaequales C C.DC AC sermentum erectum sit normaliter ad planum circuli A B, 8 solidum quod sud os esse cyundricum: habens duas partes, quarum una est cylin- drica prorsus, seet das adens smentum CF, quae est aequalis AC. es alricudinem C D. hoc est L Nin canaro XM VBadene MM circulum aequalem circulo AB: altera vero ducta: estenim A C scementum aequale D. B, sive L. quare DLEB quadrata sunt, quo- rum diametri C. sine om pnsan. Quate i plunu aeatur per rectam Atque haec de vneula sufficere existimo: reliquum est, ve ejus quoque partes non- nihil explanemus. Sit itaque denuo circulus AB, cuius diametTO LLFL; aequidistent duae li- intellicatur duci in reliquam partem circuli C B interceptam parallelis LT, P K: orietur hine est D FC+ B, hoc est OPO tepsin aesas ductu RC supersicre in se DD ∞ 6C, duides hoc planum solidam hanc sceuram DFC, vet OP C induas pae tea uile eo on