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# Title: [Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere (shelfmark Nm-A 605)
# Folio 20, page id 1023099829:0070
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2. 0
NIVMERLDRErM POTESTAENM
mulciplicariche quardt paccum numerorum, 1, 2, 3, 4, nemperadix
quadrato quautara eti, 24, quae ck, 2; Iplc, 2. cum minimo con-
tinuorum inventorum 6 vnicare minuro nempe, 5, esticice,
Hlic7 est minimus qui radix quaesira esse possic, omnes enim infe-
ciores lune necellario minores radice quae (Ica.
lam, criangulus numeri, 4, qui exponens est propoliti eradus quarts
nerrpe 10, dividatur per ipsum exponencem 4, sicque, quoriens, 2, su-
perstuum divisionis non curo iple quoriens, 2, cum minimo coninuo-
rum 6, iunctus, effcie, 8.
Ip(c 8, est maximus qui radix esse possir omnes enim superiores lune
necellario majores iadice quaelica.
Deniq; constieuantur in quarto oradu ipsi exrremi num. 7, 8, nempe,
2401, 4096, necnon d omnes qui incer iplos incerjecti Cunr, quod ad een
neralem methodum dictum sit, hic enim nulli inter 7  S interjacent
sed in remorissimis potestaribue quidam, quamnis perpauci, contincent.
Flarum porestarum, illa quae aqualis erie daco numero. si ita cue-
niat, aue lalcem quae proxime minor eric daro numero nempe, 4096
lacisfacier problemari. Radix enim 8 rnde orra cH, ca eAt quae quaerirur.
Sic ergo instirui porest ec enuntiario de generalis constructio.
lnvenire numerum qui in gradu proposco constirurus ma-
Zius sic eius gradus qui in dato numero contineaeur.
Inueniantur Cx tract. preced. tot numeri continui,
quot sunt onitatesin exponente gradus proposici, quorum
productus sit maximus ejus speciet qui in dato numero
contineatur. EF assumpio producto totidem continuorum
ab onitare, inveniatur ejus radix gradus propositi, Cx
Poltulato ipsa radix juncatur cum minimo continuo-
rum inventorum onitate minuto, hic CTIE mINIMIIS CX-
ErCIUS.
Jam trianculus exponentis ordinis per ipsum exponen-
rem divisus quemlibet praebeat quotientem, qui cum mini-
mo continuorum inventorum iungatur, hic crie maxi–
MAS CXITEMUS.
Ambo hi extremi ac numeri inter eos interpositi in
radu proposito constituantur.
Trarum potestatum, ea quae dato numero erit aut aequa-