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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 422, page id 175905688X:0444
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422.
TOH AB NES FTUDDENET EPTSF. I
lae per illas jam explicata. Si enim pro unaquaque direrla quan-
cieate irrationali duntaxat direrlam liceram concipias aut ponas,
eradent hx cum illis plane exdem. Aeque idcirco haec rerbain
622 Regula: quaeque quantitas aeque multarum dimensionum in diversis
terminis non existit; de haec in7 ma: quae que quantitas in aliquo termine
talem dimensionum numerum habet, qualem in nullo alio; icem que quid
lic quantitas alia irrationalis, nullâ explicatione indigent.
Et Corollarii loco hic annotari posset, hanc sram Regulam
etiam comprehendere Reductionem omnis equationis, quae pro.
duci porest ex mulciplicatione duarum aliarum, quarum una est
rationalis, hoc est, in qua nullum est signum radicale, ec alcera irra
tionalis.
Ouia vero haec si d Br2 Regula pra supponunt inventionem
communis duarum aquarionum dirisoris, adjungam hic, quo
c90 utOr,
lodum, inveniendi maximum, duarum (vel plurium, sive
aquationum sive quantitarum, divisorem communem.
Proponatur, exempli causa, inreniendus maximus communis
dirilor duarum sequentium xe quationum vel quancitatum, (consi
dero enim quancitates haud secus atque requationes, supponendo
Sc: illas  0: cum suppolicio haec, ad inreniendum carum com
munem dirilorem, nullum errorem inferre postit.)
d3C- acdd L  aabc.  abcd ∞0, e dC- bbcdd ) caabb. caadd v0.
Primo ieaque inguiro, num aliqua licera vel numerus reperiatur,
cujus opc linguliutriu sque aequationis termini diridi queant. Hoc
enim si continsat, oporter prius ejulmodi dirisionem instituere,
uchic perlicerams, tiuneque
d3- add  aab-  abd ∞ 0, _ d bbdd ) aabb. aadd ∞ 0.
Deinde ad libitum sumatur aliqua licera, quae in ueraque harum
aequationum reperiatur, uc d, an rel b. Atque considerando iplan
puca d, canquam incognitam quantitatem, redisatur ueraque in
Ordinem, habebiturque
ma Aquatio
43 ad d ab d  + a ab ∞ 0.
da Aquacio
at X - bb d d F - F a ab b ∞0.
uma
Porro ralor iplius d3, per ,mumxquationem inrentus, substin
FUAEHE