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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 84, page id 175905688X:0106
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d. 4.
CF E O M F Y R T X
Vbiper peaecedentes regulas cognolcitur, radicem ejus,
qua elt longitudo linca DF, eltc
a-  V = a a  =CC= V = CC = = a a  = a V A a +. CC,
Ouod ( vero B F vel B P POMCFCEL prO quantitate
incognita, perreniremus rursus ad quationem, in qua
quatuor dimentiones cslene, led quae taciliusieduci pol
R set; _ ad quam etiam latis Facile perVeNIFCTE. CUm
alias, si pro ca supponeretur D C, multo difficilius ad
Equationem, sed qua limplicissima Foret, pervenire-
mus. Ouod quidem huic retero, ut robis indicem, quod,
cum Problema provolicum non est Solidum, s quaeren
doilluduna ria ad Aquationem dereniatur raldecom-
policam, cum communiter alia ridad simpliciorem A
quationem perveniri possi.
Possem praeterca huc diversas regulas adjungere, FE-
ducendi Equationes, quae ad Cubum vel Duadeato
quadratum adscendune, verum superHuxForenE: quan-
doguidem constructionem corum Problematum, qua
Plana lunc, lemper per hralce invenirelicet.
Postem quoque alias atterre pro Equationibus, quae
ad Surdesolidum, vel Ouadrato- cubum, auc altius al
mationes lurgune; sed mato omnes lub una comprehendere, di-
cendo in genere: quod, poltquam aliquis illas ad can
dem formam, quam hrabent illa, qua xque muleis di-
excedum. enlionibus constane, de ex mulciplicatione duarum
aliarum, pauciorum dimentionum, producuntur, redu-
CerC CONACUIS TuCrIE, atque mOdOS OmHeS, QuibUS A_C
mulciplicatio hcri posie, enumexaverie, nec juxta ali
quem ex ipls succedere conipererit, aslererandum lt,
illas ad simpliciores reducinon posse. Itaur, hincognita
quanticas 3 vel 4 dimentiones habeat, Problema, in cu-
jus gratiam sEquatio quaeritur, Solidum existat; e l:.5
ven
Regula ee-
veralis re-
ducendi A.
omnes, qua
Duadraio-
quadrarum
P
p
Ill
Il
tun
qua
ll
A
ll
cin
b