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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 110, page id 175906937X:0134
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e IC
D E N et F U R A
Ende colligere licet, omnes suppolitiones, quae ad collendum
secundum terminum adhibeneur, necessario exhribere aequario.
nem realem, inodo reales radices adtuerine in ae quatione propo.
lica; ex li nulla in histuerine, id indicio esse, nullas quoque esse
imacinarias in aequatione propolita. Nam, exempli gratia, sI siC
aQuatio p - l ~3 =-- MM N X - 1 n3 X [ p+ ∞ O: Patet, siradix est
realis, x necessario debere aequalis ese = I, vel major, vel minor.
Si aequalis fuerie = l, ultimus terminus xquationis cransformara
deticere debet; si major fuerit quam = l, xquatio eransformata
denominaca a radice Z erit realis; li denique minor tuerie, Erans.
Formata aequatio à radice y denominata icidem realiserit.
Ouod (i secundus terminus x quationis propolutae afticitur (1-
∞nO-F, uc, exempli gratia, (I (IE Xt -L  I ∞3 -MM X X 1. n3 X - p1 ∞O:
Patet, li adtuerit radix aliqua realis, suppolitionem hanc Z = l Dx
semper esse necellario realem ac denotare aliquam quantiratetm;
adeoque cranstormatam ae quationem admuetere quoque aliquam
radicem.
Deinde constae, radices veras aequationum à radice y denomi-
natarum esse Fallas aequationum a radice Z denominatarum; et
contra, radices reras aequationum a radice Z denominatarum esse
Fallas aequationum a radice y denominataruim.
C A P U F XIV
Continens modum tollendi penuliimum terminum
aguationum, secundo termino carentium.
DRo Cubicis. Supponatur ultimus terminus dirisus per incogni-
tam quancitatem R. esse aequalis radici requationis propolica
de sic aequario transformetur, in qua demum penulcimus deticiet
TermINUS.
Pro Ouadrato-quadraris. Suxponatur ulcimus cerminus divisus
per incognitam quanticatem R. esse aqualis radici aequationis
propoliea, e cum rursus cranstormata aequatione penultimus
terminus deficiet.
Pro aquationibus quinque dimentionum suppOnatuE ulEimUS
terminus dirisus per incognitam quancitatem R+ esse aequalis ra-
dici aequationis propolicae, ec sic in infinitum, tranlmutatis dein-
de aequationibus, uti dictum est.