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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 361, page id 826603459:0406
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.86
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S
secuta Soctotutis.
CAP. 40.
ibus coninus dultis, Dividendus; adeoque Duoliens exhibebis cermi-
nnum quae siLUm.
Aique haccenus de Llesula Aurea Compolla, leganut, Ron
cula Socieraris, dicta.
e A l. 2
De Recuta Societatis: Tum sine Tempore; tum cum Temporo.
D. Foulalquae dicicur Societatis; cum nihil a liud quam (C regu-
 la Aurea pluries repetita: non opuseric uc longa dilqui
ficione illam exponam auc etiam noras exquiram operacion
num demonkaciones.
Est aurem ea hujusmodi; Dbi data in duobus terminis ratione,
tertio loco quorlibet, ut res ferat, positis. loridem quaeruntur quarri pro-
portionales; dicitxec Colet Reculasocieraris. Nomen suum inde
Forlan Corrita, quod in Mercacorum conlorciis, sire Locietari-
busmaximi ulas esse Colcac.
Sine tempore. Exlemplum esto. Si tres mercatores socieratem incuntes forrem ila
componant ut primus A conferat libras 60; secundus B, libras 5O; ter
tius C, libeas 40; CAdeoque omnium aggresatum, lib. 150.
60 +50 + 40) Eucrum vero, necoriando conquisitum sit lib. 30.
Duaritur, quantum inde cuigue debeatur 5
Ouo aurem huie quaesito Catistiat, nihil aliud requirieur
quam uc Aurex regulae epraxis tocies repetatur, quories resipla
Pottulat. Nempe heocius Poreis lummee 150, luerum (IE lib. 30.
quancum erit luerum parcis A, Peu 602 quaneum parcis B (cu
5O~ quancum C Ecu 40 FC, facta cocies aurex regula opC.
ratione, parti A conrenire comperientur lib 12: parti BIib. 10.
parci C lib 8 Nam ut 150, 2d 30; AC60, 2d 12; _ 50, ad 203
_ 40, ad 8. Vel, in symbolis, ur conjunctim A t B +. C-- 2, ad L.
L A
LB LC
Eicu Sxillacim, A, B, C, ad 7 3
23
Regula soci-
etatis.