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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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CAP. 26.
Deadditionis es Subductionis Probatione.
PL
examinare deinde singulas Ccorlim series, puta uniterum, de-
cadum, cencuriarum, _c. Oun Facto, li quories ex omnibuo
ejuldem Periei numeris Cimul addiris abjiciantur 9, cotieo pex-
cilc ex ejusdem Perici summula abjiei eriam postie, cum codem
ucrobiq; reliduo; cercum est indicium operacionem illam neu-
riquam mendolam esse. C. Xsem-
plum etto operatho appotica. IBi
en unicacum Cerie occurrune nume-
ri 6,8,7, 6,3. in quibus addendis,
Dollquam 9 quacer abjecta lunc, ni-
hil CupercHt, (nempe 6 +8 =- 14
24 m 9 = - 5. 8Y7 = 120 12-
d
3+ 6 = 9. 9  9 =0
0 + 9 =- 9. 9  9 =-0.) Ccd _ in
36 Cejuldem seriei Tummula) 9 praecise quaEer COnCIMeNtE,
tincullo residuo. In lequenei decadum Perie; in addendis 9,7, 6,
537, 3. DoAquam quacer abjecta Tunt 9, restac 1: sed _ ita in
37. In lerie cencuriarum 8, 9, 8,7,7,3, cum 9 quater ejecta
lune, 6 superlune: acq; ita in 42. In Cerie millium, cam in ad-
dendis 7, 9,9, 8, 8,4, quam in summula 45, cum 9 quinquies
abjiciuncur nihil superet. In Peric denigi suprema, tam in par-
ciculis 9, 8, 5,7, 8, 4, quam in carum summula 4r, abjectis o qua-
cer superlune 5. Cercum est igitur e lingularum lerierum
summulas, e omnium cciam aggregacum, vera ete, adcoq; e0-
tam opcrationem rice procestille. Nec lecus ereniee in aliis e
zutmodi addicionibus probandis. Hac aurem s incedamus via.
nonnorenarius magis quam guilibet alius numerus adhiberi
DottiC. ut Parec. Ouod monuisse Custiciac.
Innorenaria Subductionis probatione, eedem omnino es subductionis
incedendum ria, quam in Addicionis probatione octendimuo: probatio no-
cum hoc solo dilcrimine, nem pe quod in Addirione numeri venariq.
addendi cum summa conferuneur; in sobduaione, ablacus ee
residuuo (simul Cumpei) conteruntcur cum numero minvendo.
Racio eA, quonium urin Addirione, Cumma eA quid ince-
erum cujus parces sune muneri addendi; sic in subducri
onc nomerus minuendus rationem habet TOcius, CNjuS PRrIES
sune ablacus _ residuus. FxCcroplum cAoilluc quod axponi
cur. UBi in Aguris numeri minuendi sin ul indisc, imitarim
addendis, nempe 7, 3, 9, 8, 2, abiceis 9 quocien Eeri POCCR, re
Habie
9867
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