# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815206918:0020 # Permalink to this reading: https://leibnizlegible.com/page/1815206918:0020?run=74 # Title: Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi (shelfmark Leibn. Marg. 230, Stück 2) # Folio 15, page id 1815206918:0020 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815206918&page=20 # Source image: https://digitale-sammlungen.gwlb.de/content/1815206918/jpgs/default/00000020.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.84 # 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. S Y F aeiie adeo supendum plane quod Geomet d _o pertladere. cocartiridari porse lineam, aliquam decerminatam, cui in mseremseauinicies infinitarum in aecernicarem in seriebus sempernouis d housscmguesu priorseries Geometrâ extorguet. Acgie hincpatet vlcerius non recte Plobleima a MerteMMo tuille propolitum Daris rribusmaenitudinibus; dati (g. duarum Lozarihmis. era sulthmum Ceome- temper exhiberinon porest: nam cum L.OSM Ceriem continué proportiona- e V R Perie continue proportionalium; darinon possie linea aequalis, etiam sI per Focam semper st pars noiix seriei cum camen pet interpositas medias seniper ad datatri E maris ex magis accedatur. Nihilonus figor Geomerricus, hunc aMCMraL a trice invenire; plane que contra nacuram Logarichmorum id peti; quod absolure um lemper lupporane, neque quancitatibus anantur; nisiis quae aliquemin richini sunt daciitalem aurem posse eile quancicatem tertiam dacam latis (uper: quenti propolicione dererminiamus, decerminatum que ex dictis loluimus. aliqua serie locum obcinene, certe perperam peretur L ogarithmus eius quancita eisi qua in nullâ serie esse porest in qua lunc duxe quanticates darae, quarum L0g2. que iam est demionstratum. Vrigicur legicimomodo propolitum sic Problenia convenientergue ad L0ga- richmorum nacuram e cxs ehscani ud decerminare debuisset, quomodole LOPOSITIC Ariseribus magnicudinibus ABC Gaa Ma Cacque serie co cinue proporrionalium caet ponau, datt allatu tou magnitudinibus Logarirhmis, lecet A_ B, cerrix C. Logarichmum Ecometrice altignate. Constructioes Demonstratio. Voniamrationes A B et BC suppetur elle in vn a eademq: Petres 18ituI PC quolles racio A ad B mulcpilecracionem M A ad L. F: Nem quollesraliob al C unsp Ca a N ad P. F: exix iraque renumerus qui designar Aita test aliqua ratio extriberi qua juories per seiplam mulciplicata; proaucal rationem A ad B, e Praererea aliqueltes eriam per leiplam mulciplicata con- cuac rationem BC: hoc enimproprium est duabus rationibusquae in cadem lerie tunc consticuex. Inveniacur itaque Der octauam propoltionem tallstalle, qua verbi gracia dicatur esse eadem cims ratione M N ad L F: ea habiez, inquiratur