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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)
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De Propressione Geometrica
Primum est; Tocius proprestionis summa, sine continua incer
mediorum omnium cerminorum addicione, invenire. Alcerum
e; Terminum ulcimum, aliumre a primo lacis remocum, mes-
lccris intermediis, invenire.
eimum quod actinet. C OnTInUIX
Investieatio Progrettionis Cumma sic revericur. Si
terminus ultimus per communem ra-
cionem mulciplicetur, Clive, quod
cantundem est, progressio per unum
adhuc oradum concinuetur;) acq; inde
auteratur cerminus primus, ee quoi
sectac per numerum unicace minorem.
quam est communis recio diridaturs
Prodibie progreltionis Cumma. Hoc
Cst, si cerminus primus (cu minimus
dicatur A. mazimus V communis ex-
eioR, et progresionis lumma S. crit
V R i A
R = 1 =5. Cuius Regulae de
monsrracionem deinceps exponemus.
Sic in progrectione aajuncta, de
cem rerminorum. Terminus alcimus
39366 in communem rationem 3 du.
Ccusq Facit 118098; unde demptis 2
cermino primo) rettant 118096: Oud
hemerus per 2 C numerum unitace
minorem quam est z racio communis)
dirilus, quocientem exhiber 59048, corius proeretionis Cum.
mam. Oux quidem eadem est de quae ex terminis omnibus con-
tinue addicis emergit.
Cum aucem res exdio plena videri possie, in prolixioribus
Falcem progrellionibus, lingulos cermin re concinua mulciplica
eione ligillatim investisare; Huius icaq: operationis compen.
dium quaerie problema illud alcerum; Nempe
Proxressionis cujulris inchoacxe, cerminum ulcimum, alium-
vequemris astienacum, a primo lacis remocum, invenirc. Ouod
hoc pacto Faciendum docent. Proxressio expolica per aliguot
lalcem gradus inchoetur. EF Singuli cermini nocari incellisin.
cur roridem numeris nacura li serie proeredien ibus a ciptra in-
choacio
32
EAP
Summus
Investieatio
termini ulsi
mdi