# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0221 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0221?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 164, page id 1815201908:0221 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=221 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000221.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.79 # 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. amprnus s. huia Or. sevei. P. R OGR ESSION FS drato AS bas pyramlaIS CHBICX, ex per praecedenteM, quaMatum FTB, id cst aB 164 aequale es omnium balium reliduis. Crgo cora luperticies parallelepipedi, cori py. ramidis cubiex superticiei ae qualis est. Duod erac demonstrandum. PROPOSITIO CEXXVI. Acalic quadrarorum prostemoucemnus lonsicudinis lic H; lu- per quadraris aurem exstructa sic cuiborum Peries. Deinde per 165. huius Factum sic parallelepipedum MP, Xequale Seriei cubica. Dico superkiciem huius parallelepipedi, ad superticiem prramidis cu- bicae. (sumendo hic superticiem prramidis cubica, ve in proposirione praecedenti sumplimus) eam habererationem, quam linea aequalis scriei rationis AB primx ad D F. quarram, una cum dimidia ipsius AB, habet ad aqualem leriei rarionis primae AB ad CD cerriam, una cum dimi. dia AB. C15. et ISLIFSS 35t 12 111V.IC.C A1d c 51 ciil 1NII7C. Demonstratio. Pacanet edum MP factum est xquale scriei CaDIcL, HIcur Lacus A L. a Gud- se cu eltetratioo L al . e HO. O aquates tue unga ipu AB. Flac tam super quadrato RY quod sic aequale quadraco AB, parallele. ripedum L alene , aguan sectet lacions AB da C1. 1180 perpracedenteu dpecles parallelepipedi I aequalis crie superticiei cubice pyramidis. Deinde superticies parallelepipedi M P aequalis est rectangulo b quod linea compolca ex Guaarupia Mt de dupla NO, e alcicudine NO siuc OP continetur. Similicer superticies parallelexipedi OT aequalis est rectangulo cuius Bastoncomponta ex quadrupla k d dupls R S; alcicudo veTO RS Eue SY TunC enim RS, SY aequales) quia lacera (unc quadraci RT. Quare cum dicta cectanoula Anc ve bales (alcicudines enim NO, RS aequales habent cidem AB, ideoque aequales incer se) etiam erir paralle lexipedi MP superticies, ad suxerti. ciem qu e e ee e eat u tt u sat e st t ut. qes t et t. et A t as e t t t et t te l et vdl 1