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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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4O8
De Auditionis es Subduetionis Speciosa.
CAP. 26.
errorem, si quis prius commissus fuerie, denuo incidendi.
Ouod aucem de Addirionis probatione in addendis nume
ris abloluris dicrum ek; paricer eciam in addicione Algebrica
_ Speciola locum habet; ur de in addendis quancicacibus plu-
rium denominacionum. Nam ee hic eadem omnino racio ob
rinet quae superius, ur non sc opus alia demonstrarione. FX-
Templa lunco.
lib. unc. drach. serup. er
Adde l13. 9. 5. 2 , 18
5=  6 2. 2. C
Summo 16. 4. 0. I.
Subduc. 2. 6. 2  2. C
RCKat. 13. 9. 5, 1.. 18
2 Q F 1R + 3
Ba 2R mrC Additio
Sd TR +2
3d = 2R n IC Subducto
24  TR Y 3
E A +3B n C + 2D B +3b= - 5b=  
Addicio 3a
22C. - D 2b  b = + gb=6C addies
=4A + 3B F C + D 3b + 2b- B+ 5
Subdu. D ZA
+3C. uD 2b3 = b 24 ab + 6C subduc.
E aF 3B n C42D. B + 30 -5b - 2
In Subductionis probarione, eadem Fere methodo inceden.
dum eAt, qua in probarione addicionis: scd vice verta. IIEc.
nio subducendo examinacur addicio, ica addendo examinan
da eh lubductio. Nempe, liquencicas ablaca e Relidua Cimul
addica consticuane quancicarem primo provolicam (unde nem-
Dealcera auterenda erac) indicium eA operarionem rice pro-
celtisse; Cin secus, erracum eR. Nam Ablarum ex Residuum (mul
aequantur Inicoro (quippe Tocum luis Parribus Cimul Cumprisi)
1de09. s Residuo restiimatur Ablarum, redibit Inteerum. LX CempIL
gracia. Si exnumeroquinario, au
teracur binaeius, de ternarius luper.
elle dicacur, patet operationem
probeperactam esse, quia numeri
binarius _ ternarius (ablatus _E re-
Tiduns) simul addici consticuune qui
narium. Ouod icidem in coridem
punctis octendetur; nam si puncto.
um guinq; deselts clobus, cria dicancur superesse; rerum il lud
este liquer, quoniam A cribus illis reliduis resticuaneur duo
ablaca
Probatio
Subductionis