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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 493, page id 175905688X:0515
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oluipole
pretende
2 +
M
vel
DE RLEDROTEOHE A OLAZIONAM. 433
Sic aequatio ProvOlICa, UE anTC,
∞6 X - + 9X 4 + r X 3 - - (X X  FX L ∞ ∞O,
_ inquiratur num dividi possie per aequationem dua-
rum dimentionum cui nullus terminas delic, pone per
X X + y X f W ∞ 0. E itaque per cam divilibilis (C, erit
X X ∞- pX- W, quo valore iplius x x, ubique in locum
xx lubrogato, resultabie xequatio in quax unam taneum
labebit dimentionem, nimirum
3 WW X - W3 D
 Wg4
L. 4 w 93 + 3W vyy
993
 qui
 2gWy + rwy
Yn
 y9x
+
 qugy
Deindepono singulos terminos ∞o, adeo ut tum ha-
beas has duas aeguationes,
=3WWp- 35 _C. ∞O. _, W3 - W 9t _C. ∞O.
easdem quae praecedentes  _cs; Itautm, codem quo
ibi modo, ablata, candem eandem aequationem nanci-
SCaris
925 X - f. 49y73, _C. 30
Eodem modo se res habet in reliqguis.
Illud rero notandum est, hanc positionem XX = y ~ = I ∞0
Teuxxoyx. L n paulo faciliorem reddere operationem, cum in
Tubrosatione raloris iplius xx non opus sIC ut SIgna ULENEuE,
quod alioqui secundum priorem politionem x x - L y X - L W ∞O
continsic: Itaquehaec proilla potius est eligenda. Lc quod hanc
non elegerim, ideo factum est, ut idem effectus utriulque metho-
di cridentiis paterer. Fodem modo, si praecedens aequatio ingui-
renda eset, num diridi posset per aequationem erium dimensio-
num, in qua nullus terminus deticiat, ponerem illam x3 ∞Y X X F
WX FZ, Sed non x 3. L y x x L W x F Z ∞ 0, quemadmodum, (3
aliam Methodum sequerer, Facturus essem.
294 3
oDer