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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 299, page id 175905688X:0321
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a
alio
400,
d0, C
Oratest
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COMMEHZAREI EN LEDRAMILL. 299
rum constructionem faciendum relinquatur, quod non per tola-
rum rectarum linearum ductum absolratur. Vide Exercicarionum
nostrarum Machemtaricarum librum 2, in quo de simplicium
Problematum constructione ex protesso agitur.
Ubi demum obserratu dignum, in genere aequationes omnes
numericaserium dictarum tormularum omnino per Colasrectas
lineas construi posse, in quibus a e bb non nisinumeros delignane
lire inceoros sive tractos; aut etiam eas, in quibus hae quantitates
non per diverlas literas denotata reperiuneur, etiam si ipsis inte-
ori aut Fracti numeri prxetisanEUT.
rbinotandum, me ipsius y dimensiones tantum pro tribus M
dimensionibus habere, cum non reperiatur y3, nec y3, nec y in
tota summa.) Porest enim proxquatione
16 _ a 4. a+
2cc +C+ 7 =2 arc0 ∞ 0 Tubsticui aequatio hac:
23  aa
= a+
= Bae+
a
26
cctL + C+ Z = ar cc ∞ O. nimirum, supponendo z ∞ y7
a ac +
atque subrosando Z Z in locum y +3 X Z3 in locum po; ita uE,
poltquam innotuerit valor radicisz, opiscaneum (iC, ex hoc in-
vento ralore extrahere radicem quadratam, ad habendum valo-
rem radicis y.
Nec alicer operandum, Si habCaEE X + ∞ = a X X -] - bb. PO(- Vide pa3. 6.
Cumus enim iplius x+ dimentiones Polummodo pro duabus di-
mentionibus habere, d scribere py e = a y L bb, supponendo
y∞XX e py ∞ Xt, erieque radix ejus y ∞ - = a 1 V = a a -  bb:
adeoque radix X D Y   a - V : aa -  bb.
Duin ee situeric Z ∞ X 39Z2 F 340, supponendo x ∞ Z Z PO-
tes pro ea reponix 3 ∞ F 39 ∞. F 340, aeque adeo iplius 25 di-
mentiones tancum pro tribus dimentionibus haberi.
Fodem modo, siFuerit x 3∞ Y F 1Ox + F 16~ ∞ -9, aCGUCZ
supponatur o x x: porerit ejus locolcribi 2700 X- [. 102Z 1 16Z
9, ita ut iplius x d dimensiones tantum pro por dimensionibus
habeantur. Ex lic de aliis.
At vero si nullum inveniatur binomium, quod ita rot am N
quationis propositae summam dixidere possit, certum est, Pro-
blema, quod ab ea dependet, esse solidum.) Sic quoniam a qua-
ric