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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xml:space
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">ſcitur proportio diapaſon, diapẽte ac diateſſeron,
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atq; </
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<
s
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xml:space
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">omnium harmoniarum qualitercunq; </
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<
s
xml:id
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echoid-s6510
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xml:space
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">formabilium. </
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<
s
xml:id
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xml:space
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">Similiter ex
<
lb
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pondere malleorum, ex quorum ictu ſuper incudem aliqua oritur har-
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<
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xlink:label
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note-0331-01
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xlink:href
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xml:space
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">Malle
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unsure
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i.</
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monia, ac guttarum de rupe in ſtagnum ſtillantium uarios phthongos
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facientium, & </
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>
<
s
xml:id
="
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xml:space
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">tibiarum ac omnium inſtrumentorum muſicalium, ratio
<
lb
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præciſius ſtatera attingitur. </
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>
<
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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">Sic & </
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<
s
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echoid-s6515
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">uocum & </
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<
s
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echoid-s6516
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">
<
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<
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xlink:label
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xlink:href
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note-0331-02a
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xml:space
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">Voces
<
lb
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Cãtilenæ.</
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cantilenarum. </
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<
s
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xml:space
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">MECHANICVS. </
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<
s
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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
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xml:space
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">immo pon-
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<
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xlink:label
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xml:space
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">Amicitiæ.
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Odia.</
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dusrei, est proprie harmonica proportio ex uaria combinatione diucr
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ſorum exorta. </
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>
<
s
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="
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">immo amicitiæ & </
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<
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xml:space
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">inimicitiæ animalium & </
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<
s
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xml:space
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">hominum
<
lb
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<
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xlink:label
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xlink:href
="
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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, & </
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>
<
s
xml:id
="
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xml:space
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">quicquid tale, ex harmonicis concordan-
<
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tijs, & </
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>
<
s
xml:id
="
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xml:space
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">ex contrarijs diſſonantijs pondcratur. </
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<
s
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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
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xml:space
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">harmonia ponderatur, atq; </
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>
<
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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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
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xml:space
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">grauit{as}, prudentia et ſimplicit {as}, & </
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>
<
s
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xml:space
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">multa talia:</
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>
<
s
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xml:space
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">ſi ſubtiliter ad
<
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uertis. </
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>
<
s
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xml:space
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">PHILOSOPHVS. </
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>
<
s
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">Quid cenſes de geometria? </
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>
<
s
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">MECHA.
<
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</
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>
<
s
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xml:space
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">Arbitror proportiones propinqu{as} circuli & </
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>
<
s
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xml:space
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">quadrati, & </
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>
<
s
xml:id
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xml:space
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">alia omnia
<
lb
/>
quæ ad differentiam capacitatis fpectant, aptius per pondera quàm ali
<
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/>
ter experiripoſſe. </
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>
<
s
xml:id
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xml:space
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">nãſifeceris uas columnare, notæ diametri & </
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<
s
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tria.</
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dinis: </
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<
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xml:space
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">& </
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<
s
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">aliud cubicum eiuſdẽ diametri & </
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<
s
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">altitudinis: </
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<
s
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echoid-s6544
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xml:space
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">& </
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<
s
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">utrunq; </
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>
<
s
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">aqua
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impleueris & </
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>
<
s
xml:id
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">ponder aueris: </
s
>
<
s
xml:id
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echoid-s6548
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xml:space
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">nota tibierit ex diuer ſitate ponderum in
<
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<
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xlink:label
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">Circulus
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quadratũ
<
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& aliæ ſi-
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guræ.</
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ſcripti quadrati ad circulum cui inſcribitur proportio. </
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>
<
s
xml:id
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xml:space
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">& </
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<
s
xml:id
="
echoid-s6550
"
xml:space
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">per hoc pro
<
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pinqua coniectura nota erit circuli quadratura, & </
s
>
<
s
xml:id
="
echoid-s6551
"
xml:space
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">quicquid circahoc
<
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ſcire cupis. </
s
>
<
s
xml:id
="
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"
xml:space
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">Sic ſidu{as} receperis lamin{as} penitus æquales, & </
s
>
<
s
xml:id
="
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"
xml:space
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">unam in
<
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orbem flexeris u{as} columnare efficiendo, & </
s
>
<
s
xml:id
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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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">Vaſa.
<
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Machinæ.</
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>
cubicum conſtituendo, & </
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>
<
s
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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
="
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"
xml:space
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">quadrati, æqualis pe
<
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ripheriæ. </
s
>
<
s
xml:id
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"
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
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xml:space
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">ita deinceps capacitatis diffeerẽti{as} inueſtigare.
<
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</
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>
<
s
xml:id
="
echoid-s6559
"
xml:space
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">Similiter pondere peruenire poteris ad artem capacitatum uaſorum
<
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qualiumcunq; </
s
>
<
s
xml:id
="
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xml:space
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">figurarum, ac ad inſtrumenta menſur andi & </
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>
<
s
xml:id
="
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"
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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 & </
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>
<
s
xml:id
="
echoid-s6564
"
xml:space
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">curuiorem, ac quomo
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do omnia ſubtilia nauium inſtrumenta ac macbinarum fieri debeant.</
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>
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