# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815206918:0010 # Permalink to this reading: https://leibnizlegible.com/page/1815206918:0010?run=74 # Title: Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi (shelfmark Leibn. Marg. 230, Stück 2) # Folio 5, page id 1815206918:0010 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815206918&page=10 # Source image: https://digitale-sammlungen.gwlb.de/content/1815206918/jpgs/default/00000010.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.87 # 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. Expenditur, determinatur, (5 soluitur legirime del Propositum à R. P. Marino Mersenno Minimo. is cribus quibua acus Tactaous ret onalibus, cacse altarum ex illis Logarichmis, certia richmunt sesmerrice invenire. Ogarichmorum ea condirice unseHon nili seriei magnicudinum concinue sproportionalium rite altisantur, proinde postular Problema praesens, re, l expolca lc ollalus lecles Comcinue proporcionaliu A,B, C: D; ec. in caque al Lucatur quaeuis magnieu- dines A X C, quarum L0 Donebatuis adiraror esse quodam in calu demonstravero, cuicero cerre, non recte neque Lieometrice tuisse po Parichmi sine dati, altumatur aurem quae uis maptitudo L, Geometrice determiu netUE, quoTa AIC I. maonitudo in ca ter Guaneitatum in Concimua ratione COM- Ricutarum, in quầ suncmagnicudincs H d C. determieur que Palecaguo Ex _ illa lint in eadem serie. HIBC cerre li praeltiterimus lolurum erit quod pro Verumillud expendendum est imprimis, an Probleta prout propositum est rniuerlim, de illimitare, recte problemacis nomine indigitari possie: nam s Veigicur clarE procedamus, percipiamur que, expenatur series aliqua guranri tatum gua sine in eadem analogia A, B, C lapauque eamprogrestionemi Tcesrque prorrioueri, scilicet per cucene quancitatum in terminis D, P. ccc. _ perincrementum cinsdem serici per ces l. CdC. exponaturg; quae Crimo. An illa sic vna e numero magnitudinum qua lanchsbgrestione lerier exposce rarionis Ci ad F, Auc an tacte aet L.M alguocies mulciplicata, uis quantitas L. Dehac magnicudine l. plura quaeripollune, ac illud imprimis v. 8. triplicata, quincuplicata, centuplicatarationis e ad F, auF F ad C, AI. maior lic quam C. Secundo. An alix series magnitudinum porsine exhibert, Gua HISUIaS LACUM quantitarum qua lunc in Corie A, B, C, aut CyF, A, ec. contincan. IC de Lalo A ad B. irem B ad C, ec. sic duplicaca, quinicuplicata, ceneupCaca seC. FaTIONIS quatmhabecprima ad Cccundam alceriusseriei incermedix. Lertio. An polito quod quancicas L. non conrineatur in lerie LLBC. Ponla lodo complectatur. Ouareo. Anposiro quod quanciras I; in on2 serie progressionum harum extri- reperiri in alia quadam Perie progrenionum, qua toram A, B, C, D seriem dicto terierum in intinicum, repolterior lemper includat luperes. veri poltie, in omni serie Propolicd polsic reperiri. s ita mulciplicetur numerus 1 1 1. . 1. 1 1 1 1 e 1e 1 n t e a em te