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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 368, page id 175905688X:0390
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368 APPENDER DE CUDTC. AEOUAZ. RESOTBY
Diridamus jam hanc aequationem in duas, nempe - p7 2-
8X Xy - 3 X yy, _ 9∞ x3- 73. Ouarum prima divila per Z  X p
dat - p~ - 3X7, SCup D 3 Xy; _ FE _ ∞ =P. Unde, sin secunda
in locum x subrogCtuF raIOTInVENEHS , Se in locum v hujuscu-
bus 22P obtinebiturq V 2 - y3. Hoc est, mulciplicando u-
erinque per p3, et ordinando aequationem, habebitur, ∞ -9y3
F2 P. Cujus radix, juxta p28. 6, est y3 ∞  9.  V +99 +  P
Et fic y ∞ V C. - = 4 + V +99 F 27 P3. Adeoque x ∞ il
YC.  4. 
itaque
VC 29. Y
3
DOlueramuS auteIM Z DX  y. Frit
53 VC. - : 4 + V 99 f 1, p3
Oui sane ralor eo Cardani limplicior censeri porest, liquidem ad
hunc obtinendum radix cubica lemel tantum est extrahenda,
Ouod sirero iplius Z ralor cum Cardano sic exhibendus, itd por-
ro operari licebic. videlicet in aequatione jam dieta q ∞ x3 -- p3 in
locum y. substiruendo ralorem inventum -  9 L V = 99. f  p:
habebicurque qu ∞3 F : g - V + 49 + 27 P3 (eu x3 ∞ +;9 +
.99. F , B3. FFFIC~ ∞ V C. 1; 9. L V: 949 L , B3. IIinC Cum Z II
∞X y: eric Z∞V C. 1 ; g.) V. 99 +, P. VC. 2g + V: 99 + p.
Flaud dissimili modo procedendum in aequatione Z3 3 X. L p2
=9, ubi Zvalet V C. + : 4. 1 V =94 - 2, P. L
C.  =g- V =99 - , P3. POnendONeMPC Z ~ X  y.
Nocandum vero, in his Z aequalem supponix- L vel - y, non
ducem pluribus incognitis quantitatibus, ex eo quod plures dus.
bus diversis aquationibus instituinequeunt; uc de -pZ supponi
D = 3X X Y-  3X y Y, Cx co quod tunc aequationem hanc diride
relicerper Z D X= y, acque lic deinde iplarum x, y, et Z valores
in simplicistimis terminis invenire. Idem quoque aliter tieri po.
cest, ad modum pasina 296.
Hlaec aurem de Cubicarum Aquationum Resolurione dicta sul.
FICIaME.