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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 487, page id 175905688X:0509
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BasIOnEH
quae di
 O
a2
DE RLEDUCTTONE AEOUATIONUM. 487
plicatione Propolica posset produci. Zcid. Polt haec
transmuco Propolicam aequationem in aliam, cujus in-
coonita quanticas delignet quantitatem 2di Termini,
unius hrarum duarum aequationum, quae. (li inaequa-
lium dimentionum fuerine,) pauciores dimentiones
habeat. 4o. Postremo inquiro num inventa aequatio
dirilibilis sic per incognicam quantitatem L vel - ali-
quo dirilore ultimi lui Termini. ec.
Sumamus, rerbi gratia, hanc aequationem c dimentionum,
6X -  gX = - Y∞ 3(X X L FX  V∞ O,
in qua q delignet quantitarem cognitam terrii termini luis signis
+ _ = adfectam; r quarti; squinei; t sexti; e v ipsum ulti-
mum terminum: Et quam suppono indirisibilem per aliam a-
quationem, in qua unus aut plures Termini deticiunt, ut _ PCV X
L vel - aliquo dirilore ultimi Termini.
Primo itaque inquiro uerum ipsa dirisibilis sit per aequatio
nem 2 dimentionum, in qua omnes termini extant, hoc pacto:
X + - y ∞3-  Z X X - R ∞  1
X X Y ∞   W
DO
~O
06 - y ∞5- Z ∞ 4  R ∞ 3- l X ∞
+ y
yy
+)
+ pk + yLX
LW - By + NZ + WR t W B
∞6 X  q X +  Y ∞3 f s X X  F X  V ∞O.
Undehaes aequationes retuleant
Tma. 2
yy+ WV ∞4
282. B. L yZ: Wy ∞Y
3tia. l. + yk.- + W Z ∞S
qca yI. L WR
512. WI
∞D
DV.
Per man fiC Z ∞ g. F py  W, qui ralor si in locum iptius Z in
reliquis aequationibus subrosetur, habebitur
2202d a. R-  9y. (y3 = 2 W y ∞Y
3cia. 1 + y. L qut gy w  W W ∞s
Aca. yl.  W R ∞ F
sca. Wb DV.
PCB