Cardano, Geronimo, Opvs novvm de proportionibvs nvmerorvm, motvvm, pondervm, sonorvm, aliarvmqv'e rervm mensurandarum, non solùm geometrico more stabilitum, sed etiam uarijs experimentis & observationibus rerum in natura, solerti demonstratione illustratum, ad multiplices usus accommodatum, & in V libros digestum. Praeterea Artis Magnae, sive de regvlis algebraicis, liber vnvs abstrvsissimvs & inexhaustus planetotius Ariothmeticae thesaurus ... Item De Aliza Regvla Liber, hoc est, algebraicae logisticae suae, numeros recondita numerandi subtilitate, secundum Geometricas quantitates inquirentis ...

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<archimedes>
<text>
<body>
<chap>
<p type="main">
<s id="id002040">Sit ſpatium f d ſexqui tertium b e, puluis quo que in f d ſpatio ſi­
<lb/>
<arrow.to.target n="marg409"/>
<lb/>
militer ſexqui tertius pulueri b e pondere, & manifeſtum eſt, quod
<lb/>
dum conuertitur in ignem qualiſcunque ſit proportio (modo eadem
<lb/>
ignis ad puluerem) erit ignis in f d pariter ſexqui tertius igni in b e,
<lb/>
dico quòd ſi craſsities f d ſit etiam ſexqui tertia craſsitiei b e, quod
<lb/>
poterit frangi, & moueri f d quieſcente b e. </s>
<s id="id002041">Vnde idem in cuniculis
<lb/>
ut magnus cuniculus cum multo puluere poſsit mouere montem
<lb/>
paruus cum puluere proportione reſpondente priori non poſsit.
<lb/>
</s>
<s id="id002042">Nam cùm æqualia ſint omnia iuxta que rationem eandem, neceſſe eſt
<lb/>
ut pro ratione extendantur, at in paruo ſpatio minor fit denſitas cę­
<lb/>
tera paria ſunt, ergo à paruo ſpatio non tantus fit impetus, quantus
<lb/>
à magno. </s>
<s id="id002043">Impetus etiam proportionem habet ad
<expan abbr="põdus">pondus</expan>
<lb/>
iunctionem, à maiore igitur impetu plura, & maiora mouentur, &
<lb/>
conuelluntur, quam à minore, ob hæc igitur minores cuniculi ſuc­
<lb/>
cutiunt, maiores euertunt, maximi exturbant, & proijciunt. </s>
<s id="id002044">Nam
<lb/>
qui ſuccutiunt, ubi pondus, aut coniunctio maior ſit, quàm ut di­
<lb/>
ſtrahere poſsint, condenſant partes proximiores, & rimas faciunt,
<lb/>
per quas exhalat ignis aut omnino extinguitur, aut condenſatur.
<lb/>
</s>
<s id="id002045">At ergo in bellicis machinis, minus dilatat puluis, cum fuerit in lon
<lb/>
go canali, ob id ergo maiore impetu feruntur per illas, quàm per
<lb/>
breuiores, etiam quòd minor ſit puluis, minor ſit ignis. </s>
<s id="id002046">Experimen
<lb/>
tum facies in canali, ubi ſambuci medulla pro globulo flatu impel­
<lb/>
lente expellitur abſ que periculo: nam quanto minor fuerit canalis
<lb/>
ambitu ac longior eo maiore impetu pellitur. </s>
<s id="id002047">Forſan quiſpiam nos
<lb/>
meritò poterit uideri
<expan abbr="reprehẽdiſſe">reprehendiſſe</expan>
, quòd inanis gloriæ ſtudio per­
<lb/>
nicioſa humano generi doceam. </s>
<s id="id002048">Quibus reſpondeo, me nihil do cu
<lb/>
iſſe, quod ín humani generis detrimentum cedat, huiuſmodi que prę­
<lb/>
cepta iam obſcuraſſe, ut ne quid mali accidere poſſet hominibus ex
<lb/>
his:
<expan abbr="">nam</expan>
quòd ad ea, quæ declarata, ſunt, cauſas ſolùm retuli, effectus
<lb/>
ipſi modi artis
<expan abbr="nimiũ">nimium</expan>
feruntur, ac nimio pluſquam
<expan abbr="uellẽ">uellem</expan>
in telligun­
<lb/>
tur. </s>
<lb/>
rorum reſpicio, nihil plus poſsit addi. </s>
<s id="id002050">Omnia enim huiuſque
<expan abbr="ſpectãt">ſpectant</expan>
<lb/>
<s id="id002051">An ergo ſuccurrere afflictis, obſeſsis,
<lb/>
cinctis, æquare
<expan abbr="conditionẽ">conditionem</expan>
, liberare à ſeruitute etiam rebelles
<expan abbr="">non</expan>
li­
<lb/>
cebit? </s>
<s id="id002052">Ab initio fuimus omnes liberi: excogitata fuit regni ratio ad
<lb/>
commodum hominum, ea uerſa eſt per uim in
<expan abbr="Tyrannidẽ">Tyrannidem</expan>
. </s>
<s id="id002053">Subtili
<lb/>
ergo ratione
<expan abbr="occurrendũ">occurrendum</expan>
eſt imbecillioribus:
<expan abbr="">nam</expan>
reliqua omnia ni­
<lb/>
<expan abbr="magnitudinẽ">magnitudinem</expan>
<expan abbr="machinarũ">machinarum</expan>
<lb/>
<expan abbr="libramẽta">libramenta</expan>
ad longitudinem ſpatij, per quos globus ille de­
<lb/>
fertur, nota ſunt improbis illis artificibus, nec noſtrum eſt ſpectare,
<lb/>
cur id licuerit, poſtquam Deus hanc uiolentiam eſſe uoluit. </s>
<s id="id002054">Multa
<lb/>
damnamus,
<expan abbr="">quae</expan>
Deus eſſe uult: boni uiri eſt
<expan abbr="">non</expan>
niſi opitulari homini­
<lb/>
bus,
<expan abbr="etiã">etiam</expan>
malis modo bonis futuri
<expan abbr="">non</expan>
ſint
<expan abbr="impedimẽto">impedimento</expan>
:
<expan abbr="quamobrẽ">quamobrem</expan>
</s>
</p>
</chap>
</body>
</text>
</archimedes>