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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 11, page id 1023099829:0061
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SV ME NT A.
quartus eus dumerus serei ordinis idem estac sextus quarti, vejarre
DE NVMERTCOAYM ORDIVVA
SV MI M A.
Problema 4.
Ropolici cujustiber ordinis numerici, cor quoe impe.
rabitur, priorum numerorum lummam invenire.
Propositum sit invenire summam quinque, v. 8. prio-
rum numerorum ordinis verbi graria lexei.
Inveniatur ex praecedente numerus quintus (quia quin-
que priorum numerorum summa requiritur, ordinis lep
cimi, nempe ejus qui propositum lextum proximé se-
quitur; ipse satisfaciet problemati.
Numericorum enim ordinum generatio talis est, renumerus cuiu-
vis ordinis, aequecur summae eorum omnium ordinis praecedentis quo-
rum radices non lunc lua majores; ica re quincus seprimi ordinis, aeque
euT, ex nacura de generatione ordinum, quinque prioribus numeris
Sexti ordinis, quod difticultare caret.
Conclusio.
Mechodus qua ordinum resolurionem expedio est generalissima, re-
rum ipsam diu quaeliui, quae primo sese obculic ca eAt.
Si dari numeri quaerebarur radix certii ordinis, ira procedebam. Su-
matur duplum numeri proposiri, istius dupli radix quadrata invema-
tur, haec quaesira est aut salcem ea quae unitate minor erit.
Si dari numeri quaericur radix quarri ordinis, Nulciplicetur numerus
datus per, 6, nempe per productum numerorum, L, 2, 3: P roducti inue-
niatur radia cubica, ipsa, aut ea quae unitate minor est, satisfaciet.
Si dari numeri quaerieur radix quinti ordinis, Maltiplicetur datus
numerus per, 24, nempe per productum numerorum, 1, 2, 3, 4, pro-
ductique inveniatur radix 4 gradus ipsa vnitare minuta, satisfaciet
problemari.
Ec ita reliquorum ordinum radices guarebam, constructione non
generali, led cuique proprii ordini; nec camen ideo mihi omnino
displicebat, illa enim qua relolummur porectares non generatior el,
demonstrarum est.