Vitruvius
,
M. Vitruvii ... de architectura libri decem, ad Augustum Caesarem accuratiß conscripti: & nunc primum in Germania qua potuit diligentia excusi, atq[ue] hinc inde schematibus non iniucundis exornati
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DIALOGVS.
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fiſtul{as} implentium: </
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>
<
s
xml:id
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echoid-s6508
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xml:space
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preserve
">ſcitur proportio diapaſon, diapẽte ac diateſſeron,
<
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atq; </
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>
<
s
xml:id
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echoid-s6509
"
xml:space
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">omnium harmoniarum qualitercunq; </
s
>
<
s
xml:id
="
echoid-s6510
"
xml:space
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">formabilium. </
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>
<
s
xml:id
="
echoid-s6511
"
xml:space
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">Similiter ex
<
lb
/>
pondere malleorum, ex quorum ictu ſuper incudem aliqua oritur har-
<
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/>
<
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right
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xlink:label
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note-0331-01
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xlink:href
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note-0331-01a
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xml:space
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">Malle
<
unsure
/>
i.</
note
>
monia, ac guttarum de rupe in ſtagnum ſtillantium uarios phthongos
<
lb
/>
facientium, & </
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>
<
s
xml:id
="
echoid-s6512
"
xml:space
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">tibiarum ac omnium inſtrumentorum muſicalium, ratio
<
lb
/>
præciſius ſtatera attingitur. </
s
>
<
s
xml:id
="
echoid-s6513
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xml:space
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">PHILOSOPHVS. </
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>
<
s
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="
echoid-s6514
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xml:space
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">Sic & </
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>
<
s
xml:id
="
echoid-s6515
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xml:space
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">uocum & </
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>
<
s
xml:id
="
echoid-s6516
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xml:space
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">
<
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/>
<
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xlink:label
="
note-0331-02
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xlink:href
="
note-0331-02a
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xml:space
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">Voces
<
lb
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Cãtilenæ.</
note
>
cantilenarum. </
s
>
<
s
xml:id
="
echoid-s6517
"
xml:space
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">MECHANICVS. </
s
>
<
s
xml:id
="
echoid-s6518
"
xml:space
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">Immo generaliter omnes harmo-
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nicæ concordantiæ: </
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>
<
s
xml:id
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echoid-s6519
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xml:space
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">perpondera ſubtilißime inueſtigantur. </
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>
<
s
xml:id
="
echoid-s6520
"
xml:space
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">immo pon-
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<
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xlink:label
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note-0331-03
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xlink:href
="
note-0331-03a
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xml:space
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">Amicitiæ.
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lb
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Odia.</
note
>
dusrei, est proprie harmonica proportio ex uaria combinatione diucr
<
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ſorum exorta. </
s
>
<
s
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="
echoid-s6521
"
xml:space
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">immo amicitiæ & </
s
>
<
s
xml:id
="
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"
xml:space
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">inimicitiæ animalium & </
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>
<
s
xml:id
="
echoid-s6523
"
xml:space
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">hominum
<
lb
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<
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xlink:label
="
note-0331-04
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xlink:href
="
note-0331-04a
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xml:space
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">Sanitæ
<
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.
<
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/>
Acgritu-
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do.</
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>
ciuſdem fpeciei ac mores, & </
s
>
<
s
xml:id
="
echoid-s6524
"
xml:space
="
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">quicquid tale, ex harmonicis concordan-
<
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tijs, & </
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>
<
s
xml:id
="
echoid-s6525
"
xml:space
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">ex contrarijs diſſonantijs pondcratur. </
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>
<
s
xml:id
="
echoid-s6526
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">Sic & </
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>
<
s
xml:id
="
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xml:space
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">ſanit {as} bominis:
<
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</
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>
<
s
xml:id
="
echoid-s6528
"
xml:space
="
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">harmonia ponderatur, atq; </
s
>
<
s
xml:id
="
echoid-s6529
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xml:space
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">oppoſito harmoniæ infirmit {as} immo leui-
<
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<
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xlink:label
="
note-0331-05
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xlink:href
="
note-0331-05a
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xml:space
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">Lcaitas.
<
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/>
Grauit{as}.
<
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/>
Prudẽtia.
<
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/>
Simplici-
<
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/>
t{as}.</
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>
t{as} & </
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>
<
s
xml:id
="
echoid-s6530
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xml:space
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">grauit{as}, prudentia et ſimplicit {as}, & </
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>
<
s
xml:id
="
echoid-s6531
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xml:space
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">multa talia:</
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>
<
s
xml:id
="
echoid-s6532
"
xml:space
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">ſi ſubtiliter ad
<
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/>
uertis. </
s
>
<
s
xml:id
="
echoid-s6533
"
xml:space
="
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">PHILOSOPHVS. </
s
>
<
s
xml:id
="
echoid-s6534
"
xml:space
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">Quid cenſes de geometria? </
s
>
<
s
xml:id
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echoid-s6535
"
xml:space
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">MECHA.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s6536
"
xml:space
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">Arbitror proportiones propinqu{as} circuli & </
s
>
<
s
xml:id
="
echoid-s6537
"
xml:space
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">quadrati, & </
s
>
<
s
xml:id
="
echoid-s6538
"
xml:space
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">alia omnia
<
lb
/>
quæ ad differentiam capacitatis fpectant, aptius per pondera quàm ali
<
lb
/>
ter experiripoſſe. </
s
>
<
s
xml:id
="
echoid-s6539
"
xml:space
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">nãſifeceris uas columnare, notæ diametri & </
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>
<
s
xml:id
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">altitu
<
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<
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xml:space
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">Geome-
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tria.</
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dinis: </
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<
s
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echoid-s6541
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xml:space
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">& </
s
>
<
s
xml:id
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echoid-s6542
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xml:space
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">aliud cubicum eiuſdẽ diametri & </
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>
<
s
xml:id
="
echoid-s6543
"
xml:space
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">altitudinis: </
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>
<
s
xml:id
="
echoid-s6544
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xml:space
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">& </
s
>
<
s
xml:id
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echoid-s6545
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xml:space
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">utrunq; </
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>
<
s
xml:id
="
echoid-s6546
"
xml:space
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">aqua
<
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/>
impleueris & </
s
>
<
s
xml:id
="
echoid-s6547
"
xml:space
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">ponder aueris: </
s
>
<
s
xml:id
="
echoid-s6548
"
xml:space
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">nota tibierit ex diuer ſitate ponderum in
<
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<
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="
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xlink:label
="
note-0331-07
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xlink:href
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note-0331-07a
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xml:space
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">Circulus
<
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/>
quadratũ
<
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& aliæ ſi-
<
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guræ.</
note
>
ſcripti quadrati ad circulum cui inſcribitur proportio. </
s
>
<
s
xml:id
="
echoid-s6549
"
xml:space
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">& </
s
>
<
s
xml:id
="
echoid-s6550
"
xml:space
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">per hoc pro
<
lb
/>
pinqua coniectura nota erit circuli quadratura, & </
s
>
<
s
xml:id
="
echoid-s6551
"
xml:space
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">quicquid circahoc
<
lb
/>
ſcire cupis. </
s
>
<
s
xml:id
="
echoid-s6552
"
xml:space
="
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">Sic ſidu{as} receperis lamin{as} penitus æquales, & </
s
>
<
s
xml:id
="
echoid-s6553
"
xml:space
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">unam in
<
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/>
orbem flexeris u{as} columnare efficiendo, & </
s
>
<
s
xml:id
="
echoid-s6554
"
xml:space
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">aliam in quadr atum u{as}
<
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/>
<
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xlink:label
="
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xlink:href
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">Vaſa.
<
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Machinæ.</
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>
cubicum conſtituendo, & </
s
>
<
s
xml:id
="
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"
xml:space
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">aqua uaſa ipſa impleueris, ſcies ex diffeen-
<
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tia ponderum differentiam capacitatis circuli, & </
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>
<
s
xml:id
="
echoid-s6556
"
xml:space
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">quadrati, æqualis pe
<
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ripheriæ. </
s
>
<
s
xml:id
="
echoid-s6557
"
xml:space
="
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">Ita ſi plures tales lamin{as} habueris, poteris in trigono, pen-
<
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tagono, hexagono, & </
s
>
<
s
xml:id
="
echoid-s6558
"
xml:space
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">ita deinceps capacitatis diffeerẽti{as} inueſtigare.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s6559
"
xml:space
="
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">Similiter pondere peruenire poteris ad artem capacitatum uaſorum
<
lb
/>
qualiumcunq; </
s
>
<
s
xml:id
="
echoid-s6560
"
xml:space
="
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">figurarum, ac ad inſtrumenta menſur andi & </
s
>
<
s
xml:id
="
echoid-s6561
"
xml:space
="
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">ponderan
<
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di. </
s
>
<
s
xml:id
="
echoid-s6562
"
xml:space
="
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">quomodo ſtateræ fiant, quomodo una libra eleuat mille per diſtanti-
<
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am à centro, & </
s
>
<
s
xml:id
="
echoid-s6563
"
xml:space
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">uarium deſcenſum rectiorem & </
s
>
<
s
xml:id
="
echoid-s6564
"
xml:space
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">curuiorem, ac quomo
<
lb
/>
do omnia ſubtilia nauium inſtrumenta ac macbinarum fieri debeant.</
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>
<
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="
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