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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 498, page id 175905688X:0520
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198 IOFT A HHES HIUDDENTL EPIST. I.
E Exemplum, in quo licera b ubique unam tan-
cum dimentionem habet.
Eso aequatio ProPOlIta X = --2 a X 3 + a a X X L a3 X = A ∞O
L b = a b
+- b43
Ergo bx3 -abXX L ba ∞ - X  L 2aX3- a aXX- a3 X p a+
dir. per X3- aax F 23.
HE b ∞ = X F a
_ X - a- F b ∞ O. SEquatiO, Per
quam Propolica diridi porett.
2 Fxemplum.
F.CO aequatio PrOPO(IEL ∞3 - 20b X X F 6Oa a x - 120a3 ∞O
2 8t + 70 ab - 60a ab
FrsO -- 2Obxx 1 7Oabx - 60aab∞- X3 + 2aXX 6OaaX L +2043
lIV. DCL 2ONX. 1- 7OaN- 6OaA.
At b ∞
N3- 2a X X = 60 a A X - T20 a3
20 X N - 7O 4 X = 60a a. LlujUS
autem maximus communis dirilor, per Mechodum ante delcri
peam, est x -2 an per quem (i Fractio abbrerieeur,
d de 60 a a  de 3  60 a a
Hec b∞ = 20∞ L 30a Vet 20X - 30a
seu, quod idem eAt, X X = 20b x + 30 ab ∞0. Ita ut aequatio
L 60a a
Propolita inhanc, et praecedentem x = 2 a ∞0 divila (II.
3 Exemplum, in quo Quantitasctantum
+_ 2 habet dimenliones.
EAo X quatio PropOlIca xt + LBaCX X - 4 a aC X. L Y2a4C6∞0
aa
FrBOTZ a466∞ = 8 a X X C - X +
AECC~
+ Aa a X C + a a X X
4 a X = 8 X X
12a I1C,  _a XX = v+
Unde extracta radice invenictur
CX
X - ∞ X
2 a
12a a
3Hoc CCt, XX- a X L 2 46 ∞ 0
Vel6  = arx ux hoc est, N N L a X F 64c ∞0.
6a
Ica ut aequatio Proposica in ha(ce duas sic dirila. Ouoniam au
tem
 a fea 2c e et
tC