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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 257, page id 175905688X:0279
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ui
M
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jorit
disC
C3
erites
bec
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DF,
COMMENTARLE EN LIDRuNII. 257
2 0, mulciplicoy - e∞OPCF y -- e ∞0, &t Fc y y -  ey. + e020.
aequatio duas habensradices aequales. Ouam porro, ut ad aeque-
nultas cum praecedente dimentiones alcendat ac eju ldem cum il-
la SicFormae, mulciplico per ry - fy - 88, ec provenit
Y+e93- f eC 9y = eef7 - e088∞ 0. Cujusitaquetermi
 ef  188
88
nos separatim comparo cum terminis praecedentis. CIlEimuS ter-
minus, qui hic eA quintus, dat 88∞
∞
(SX
266c600-2becc02
e3ss L c3 00 terrius dat
bbcc00
eess. + eev Quartus dat
3bbc000 + +bcc000 f et 00-+ accev0 - bbee00
c6ec 426ee0 + ee∞0 e4
dus. dat v V ∞ e3 (s V +C e3(
+
et + be3 = bb0C = b60C.
e3V 603 e4
3d sCcuI-
Ouocirca, ut obtineaturV.
Siplius sralorjam inrentus mulciplicetur pex
et f. b c3. + bbcc. . bc C abbreriando prius, ad Facilitatem opera-
tionis, numeratorem prioris de denominatorem posterioris fra-
ctionis per e. L b, ac deinde denominatorem prioris _ nuIeratO-
rem polterioris Fractionis pereer. Lcee = e3, exurgete+ = be3
+ 66eC +3 b66C∞ et L e3 v + 6 e3 + b66 e + bccv L bc3. Fier-
que, ordinata a qualitate, v ∞ = bc3 + 2b00e +ccee = b C3 = c C3
3cc = C3
Seu, quiay est x e, erit v ~= 603 = 2bccy + ccyy - by3 - c13
66c e3
Denique, inventa quancitater, Facile est invenire quantita-
rem s. Si enim in superiori ae quatione =Sy + 50
x
VbbCC. + bcCy - bbYY + c0yy - 2 b93 -
tur ralor ejus nunc inventus, obtinebieur
D = bcc + bcg + cyy +Bg9
in locum vlubroge-
ga +b73.+. c73 = bogy V bbec. = bccy - bbyy + CC77 - b93- y
Ouod ad constructionem hujus attinet, quoniam ipsa, quam
inveni, haud inconcinna mihi est rila, placuic eam hic paucis sub-
nectere.
IL H