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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 428, page id 175905688X:0450
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428 LOTANHIS HIUDDENEE EETST. P
Cujus hunu(quisque separatus rerminus rursus consideretur vo,
habebimus has duas aequationes
TI.
93 =  4)y +66720, e = a ayy = a7 + 4466∞0
leu
yy - 2 4y + 66 30
Ceu
-yy -  a Y - 66∞0.
Cum igicur harum communis mentura seu dirilor sIt =py-
ay +50 ∞0, quaero hinc ralorem ipsius y; inrenioquey v
=a 8 V a a- F cc, ac proinde aequationem Propolitam eAe divisi
Bilem per ~ x = a B V aa L CCIM X, -Y a a ∞00.
Similicer, si detur, hranc aequationem
x5X = bb X 3- +3 a bb X x X F a b + ∞ 0 esse dirisibilem per aliam
 aa = 2 a3
dimentionum, cujus certius rerinus (IC L = a aX: PONO prO
ipla X3 =F Y X N F  = a a ∞ + Z ∞ 0, TCU X 3 ∞ - y X X = a A X -7.
Ouo ralore ubique in locum x3 in Propolica x quatione subroe
to, obcinebitur
Z X X - yZX  a a Z ∞ 0.
L3aay + a  y y2
aayy = bb2
bby =aabb  ab+
-3 abb
Ouoniam autem haec aquatio z habet leparatos cerminos, h
Bebuntur inde ha 3 aequationes
Ema
F3Aay - y3 - = bby + 3 abb =  a3 ∞0.
282
3ti2
D I a aagy  aabb ∞ 0, 44 Z. 777 - bbZ + ab = ∞ 0.
Hinc per imam (ublata Z, quae eAt ∞ 3 aay - y 3 - bby + 3 abb - 1
inVenICHIE PEO Zd2: = yt X - F a ayy - F 3 abby - 2 a abb ∞0,
-bb
 243  2a +
 PrO 3 Cid:  y5 X - + a 4 73 - =  a3 yy + 3 a+ y. + 5a3 bb∞0.
1 2 bb - 3abb   aabb  45
L b+ = ab+
Duarum duarum maxima communis mentura per superiorem
mecho.