Castelli, Benedetto
,
Of the mensuration of running waters
,
1661
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 137
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
068/01/031.jpg
"
pagenum
="
17
"/>
in the beginning they are ſmall, and afterwards become greater
<
lb
/>
and bigge; and the reaſon is moſt manifeſt, becauſe in the be
<
lb
/>
ginning they are very ſwift, and afterwards gradually relent
<
lb
/>
their impetuoſity, and motion, ſo that in the beginning of the
<
lb
/>
excurſion that they make, they ought to be ſmall, and after
<
lb
/>
wards to grow bigger, as in the effect is ſeen.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>APPENDIX. I.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Into the errour of not conſidering how much the different
<
lb
/>
velocities of the ſame running water in ſeveral places of
<
lb
/>
its current, are able to change the meaſure of the ſame
<
lb
/>
water, and to make it greater, or leſſe, I think, if I be not
<
lb
/>
deceived, that
<
emph
type
="
italics
"/>
Ginlio Frontino
<
emph.end
type
="
italics
"/>
a noble antient Writer, may
<
lb
/>
have faln in the Second Book which he writ, of the Aqueducts
<
lb
/>
of the City of
<
emph
type
="
italics
"/>
Rome
<
emph.end
type
="
italics
"/>
: Whilſt finding the meaſure of the Water
<
lb
/>
^{*}
<
emph
type
="
italics
"/>
Commentaries
<
emph.end
type
="
italics
"/>
leſſe than it was
<
emph
type
="
italics
"/>
in erogatione 1263. Quinaries,
<
emph.end
type
="
italics
"/>
he </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
arrow.to.target
n
="
marg966
"/>
<
lb
/>
thought that ſo much difference might proceed from the negligence
<
lb
/>
of the Meaſures; and when afterwards with his own induſtry he
<
lb
/>
meaſured the ſame water at the beginnings of the Aqueducts,
<
lb
/>
finding it neer 10000.
<
emph
type
="
italics
"/>
Quinaries
<
emph.end
type
="
italics
"/>
bigger than it was
<
emph
type
="
italics
"/>
in Commenta
<
lb
/>
riis
<
emph.end
type
="
italics
"/>
he judged, that the overplus was imbeziled by Miniſters and
<
lb
/>
Partakers; which in part might be ſo, for it is but too true, that
<
lb
/>
the publique is almoſt alwayes defrauded; yet nevertheleſſe, I
<
lb
/>
verily believe withal, that beſides the frauds of theſe Officers,
<
lb
/>
the velocities of the water in the place wherein
<
emph
type
="
italics
"/>
Frontino
<
emph.end
type
="
italics
"/>
meaſu
<
lb
/>
red, it might be different from thoſe velocities, which are
<
lb
/>
found in other places before meaſured by others; and there
<
lb
/>
fore the meaſures of the waters might, yea ought necſſarily to
<
lb
/>
be diffcrent, it having been by us demonſtrated, that the mea
<
lb
/>
ſures of the ſame running water have reciprocal proportion to
<
lb
/>
their velocities. </
s
>
<
s
>Which
<
emph
type
="
italics
"/>
Frontino
<
emph.end
type
="
italics
"/>
not well conſidering, and find
<
lb
/>
ing the water
<
emph
type
="
italics
"/>
in Commentariis 12755. Quinaries in erogati
<
lb
/>
one
<
emph.end
type
="
italics
"/>
14018, and in his own meaſure
<
emph
type
="
italics
"/>
ad capita ductuum,
<
emph.end
type
="
italics
"/>
at the
<
lb
/>
head of the fountain 22755.
<
emph
type
="
italics
"/>
Quinaries,
<
emph.end
type
="
italics
"/>
or thereabouts, he
<
lb
/>
thought, that in all theſe places there paſt different quantities of
<
lb
/>
water; namely, greater at the fountain head then that which was
<
lb
/>
<
emph
type
="
italics
"/>
in Erogatione,
<
emph.end
type
="
italics
"/>
and this he judged greater than that which was
<
lb
/>
<
emph
type
="
italics
"/>
in Commentariis.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg966
"/>
+
<
emph
type
="
italics
"/>
Commentarius
<
emph.end
type
="
italics
"/>
<
lb
/>
beareth many ſen
<
lb
/>
ſes, but in this
<
lb
/>
place ſignifieth a
<
lb
/>
certain Regiſter of
<
lb
/>
the quantities of
<
lb
/>
the Waters in the
<
lb
/>
ſeveral publique A
<
lb
/>
qu ducts of
<
emph
type
="
italics
"/>
Rome
<
emph.end
type
="
italics
"/>
;
<
lb
/>
which word I find
<
lb
/>
frequently uſed in
<
lb
/>
the Law-books of
<
lb
/>
antient Civilians:
<
lb
/>
Andby errogation
<
lb
/>
we are to under
<
lb
/>
ſtand the diſtribu
<
lb
/>
tion or delivering
<
lb
/>
out of thoſe ſtores
<
lb
/>
of Water.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>APPENDIX II.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Alike miſtake chanced lately in the Aqueduct of
<
emph
type
="
italics
"/>
Acqua
<
lb
/>
Paola,
<
emph.end
type
="
italics
"/>
which Water ſhould be 2000 Inches, and ſo many
<
lb
/>
effectively ought to be allowed; and it hath been given in </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>