Vitruvius
,
De architectura libri decem
,
1567
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331 - 339
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514.01.119
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119
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TERTIVS.
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<
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<
s
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xml:space
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">Reliquæ rationes, quæ inter eoſdem terminos cadunt, quæ ſunt, primi ad quartum uel ſextum, ſecundi ad
<
lb
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tertium uel quintum, tertij ad quintum, & </
s
>
<
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xml:id
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echoid-s8237
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xml:space
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">quarti ad ſextum, ex reliquorum numerorum rationibus minime
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componi poſſunt. </
s
>
<
s
xml:id
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echoid-s8238
"
xml:space
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">Reſtat ut huiuſmodi compoſitiones experientia dirigamus , ſuisq́; </
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>
<
s
xml:id
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xml:space
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">regulis exerceamus, Fin-
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gamus igitur ſextum ignorari numerum, quem uolumus inuenire. </
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>
<
s
xml:id
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xml:space
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">duc ſecundum in tertium, & </
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>
<
s
xml:id
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xml:space
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">productum par
<
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tire per primum, & </
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>
<
s
xml:id
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echoid-s8242
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xml:space
="
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">quartum rurſus ex partitione terminorum duces in quintum, productumq́; </
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>
<
s
xml:id
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echoid-s8243
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xml:space
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">partire per quar
<
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tum, habebis quæſitum numerum . </
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>
<
s
xml:id
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xml:space
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">eſto in eo primo ordine. </
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<
s
xml:id
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xml:space
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">9. </
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>
<
s
xml:id
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xml:space
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">ignoratus numerus. </
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>
<
s
xml:id
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xml:space
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">ducito 2. </
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<
s
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xml:space
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<
s
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xml:space
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6. </
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<
s
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xml:space
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<
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xml:space
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">1. </
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>
<
s
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xml:space
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">partita ſex ſimiliter erunt, hæc ducito in 6. </
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>
<
s
xml:id
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xml:space
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">quintum uidelicet numerum, reddentur. </
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>
<
s
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xml:space
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">36.
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</
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<
s
xml:id
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"
xml:space
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">quæ partita per 4. </
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>
<
s
xml:id
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xml:space
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">dabunt. </
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>
<
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xml:id
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xml:space
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">9. </
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>
<
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xml:id
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xml:space
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">qui erat quæſitus , & </
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>
<
s
xml:id
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xml:space
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">ignoratus numerus. </
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<
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xml:id
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xml:space
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">Quod ſi quintus ignotus fuerit
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ducito primum in quartum, & </
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<
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xml:space
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">quod inde prouenit partire per tertium , & </
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<
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xml:space
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">quod ex partitione effeceris duci-
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to in ſextum, & </
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>
<
s
xml:id
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xml:space
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preserve
">progenitum partire per ſecundum, habebis quæſitum numerum quintum. </
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>
<
s
xml:id
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xml:space
="
preserve
">Exempli gratia i-
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<
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position
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left
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xlink:label
="
note-514.01.119-01
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xlink:href
="
note-514.01.119-01a
"
xml:space
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">10</
note
>
gnoretur numerus. </
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<
s
xml:id
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xml:space
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">6. </
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>
<
s
xml:id
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xml:space
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">qui quintus es
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unsure
/>
t in ordine . </
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>
<
s
xml:id
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xml:space
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">ducito. </
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>
<
s
xml:id
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xml:space
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">1. </
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>
<
s
xml:id
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xml:space
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">in 4. </
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>
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>
<
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xml:id
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xml:space
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">qui partitus per 3. </
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>
<
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xml:id
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"
xml:space
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">red-
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det unum & </
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<
s
xml:id
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xml:space
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">tertiam. </
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>
<
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xml:id
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xml:space
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">hunc multiplicato per. </
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<
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xml:space
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">9. </
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">produces duodecim, qui numerus ſi per. </
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<
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xml:space
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">2. </
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<
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xml:id
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xml:space
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">partiatur igno
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ratum numerum manifes
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unsure
/>
tabit, hoc eſt. </
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<
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xml:space
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">6. </
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>
<
s
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xml:space
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">ſed ſi quartus quærendus ſit, duc ſecundum in tertium, & </
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>
<
s
xml:id
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"
xml:space
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">produ-
<
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/>
ctum partire per primum, & </
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>
<
s
xml:id
="
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"
xml:space
="
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">quotum numerum inde prouenientem , per quintum ducito , & </
s
>
<
s
xml:id
="
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"
xml:space
="
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">productum per
<
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/>
ſextum partire, hoc modo, ignoretur 4. </
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>
<
s
xml:id
="
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"
xml:space
="
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">ducito duo in tria reddentur. </
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>
<
s
xml:id
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"
xml:space
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">6. </
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>
<
s
xml:id
="
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"
xml:space
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">partire ſex per unum reddent
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6. </
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>
<
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xml:space
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">Hæcper. </
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<
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<
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xml:space
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">numeri quintirurſum multiplicabis, reddentur. </
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<
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xml:space
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">36. </
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<
s
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">quæ partita per nouem dabunt. </
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<
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xml:space
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</
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<
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xml:id
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xml:space
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">qui optatus, & </
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>
<
s
xml:id
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"
xml:space
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">ignoratus numerus quærebatur. </
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>
<
s
xml:id
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"
xml:space
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">At ſi tertius ignoretur, duc primum in quartum, conſur-
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gentem partire per ſecundum, prouenientem ex partitione illa ducito in ſextum, & </
s
>
<
s
xml:id
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xml:space
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">procreatum inde terminum
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partire per quintum hoc modo. </
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<
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xml:id
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xml:space
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">Ignoretur numerus. </
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<
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<
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xml:id
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<
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xml:id
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<
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xml:id
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xml:space
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">4. </
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<
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xml:id
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xml:space
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">quæ diuiſa per. </
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>
<
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xml:id
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xml:space
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">2. </
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<
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xml:space
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dabunt. </
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>
<
s
xml:id
="
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"
xml:space
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">2. </
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>
<
s
xml:id
="
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xml:space
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">hæc multiplica per 9. </
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>
<
s
xml:id
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xml:space
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">habebis. </
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>
<
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xml:id
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xml:space
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">18. </
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>
<
s
xml:id
="
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"
xml:space
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">quæ partita per ſex, dabunt tria, qui numerus quæreba-
<
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/>
<
note
position
="
left
"
xlink:label
="
note-514.01.119-02
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xlink:href
="
note-514.01.119-02a
"
xml:space
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">20</
note
>
tur. </
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<
s
xml:id
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xml:space
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">Quinto ſi ſec undum quæſieris, duc primum in quartum, productum partire per tertium, quotum proue-
<
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/>
nientem ducito in ſextum, productum demum partire per quintum, hoc modo . </
s
>
<
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xml:id
="
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"
xml:space
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">Duc unum in 4. </
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>
<
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xml:id
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xml:space
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">reddentur
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4. </
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<
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xml:id
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xml:space
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">quæ diuiſa per 3. </
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>
<
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xml:id
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xml:space
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">reddent unam & </
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>
<
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xml:id
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">tertiam. </
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>
<
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xml:id
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xml:space
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">quæ ducta per nouem efficient duodecim, hæc diuiſa per ſex
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/>
dabunt binarium repertum numerum. </
s
>
<
s
xml:id
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"
xml:space
="
preserve
">Demum ſi primum numerum quæris, ducito ſecundum in tertium, pro-
<
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/>
uenientem partire per quartum, quotus ex ipſa diuiſione ducito per quintum, productumque diuidito per ſex-
<
lb
/>
tum, relinquetur primus hoc modo, quæratur unitas, quæ prima erat in ordine, ducito. </
s
>
<
s
xml:id
="
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xml:space
="
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">2. </
s
>
<
s
xml:id
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xml:space
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">in 3. </
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>
<
s
xml:id
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xml:space
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">efficies
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6. </
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>
<
s
xml:id
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"
xml:space
="
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">quæ diuiſa per quatuor, dabunt unum & </
s
>
<
s
xml:id
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xml:space
="
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">dimidium, quæmultiplicata per 6. </
s
>
<
s
xml:id
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xml:space
="
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">producunt 9. </
s
>
<
s
xml:id
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echoid-s8324
"
xml:space
="
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">quæ per quæ
<
lb
/>
hoc est ſe xtum partita restituunt unitatem, quæ antea ignorabatur . </
s
>
<
s
xml:id
="
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"
xml:space
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preserve
">Hæc ſunt quæ de proportionibus, ac de
<
lb
/>
earum comparationibus afferre uolui, quæ ſi diligenter examinabuntur, nullum erit quæſitum, nullum abdi-
<
lb
/>
tum, & </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">ignoratum quod non prodibit in lucem , ſiue in ciuilibus negotijs, ſiue in ſpeculatricibus ſcientijs uer-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.119-03
"
xlink:href
="
note-514.01.119-03a
"
xml:space
="
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">30</
note
>
ſari uelimus. </
s
>
<
s
xml:id
="
echoid-s8327
"
xml:space
="
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">Quod recte norunt, qui harũ rerum ſtudio delectantur. </
s
>
<
s
xml:id
="
echoid-s8328
"
xml:space
="
preserve
">ſed tempus est, ut ad Vitruuiũ accedamus.</
s
>
<
s
xml:id
="
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"
xml:space
="
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"/>
</
p
>
<
p
>
<
s
xml:id
="
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"
xml:space
="
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">
<
emph
style
="
sc
">Aedivm</
emph
>
compoſitio conſtat ex ſymmetria, cuius rationem diligentiſsime Architecti tenere de
<
lb
/>
bent. </
s
>
<
s
xml:id
="
echoid-s8331
"
xml:space
="
preserve
">Ea autem paritur a proportione, quæ Græcè analogia dicitur. </
s
>
<
s
xml:id
="
echoid-s8332
"
xml:space
="
preserve
">Proportio eſt ratæ partis mem-
<
lb
/>
brorum in omni opere, totiusq́; </
s
>
<
s
xml:id
="
echoid-s8333
"
xml:space
="
preserve
">commodulatio , ex qua ratio efficitur ſymmetriarum.</
s
>
<
s
xml:id
="
echoid-s8334
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8335
"
xml:space
="
preserve
">De ſacris Deorum ædibus tertio, & </
s
>
<
s
xml:id
="
echoid-s8336
"
xml:space
="
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">quarto libro agitur. </
s
>
<
s
xml:id
="
echoid-s8337
"
xml:space
="
preserve
">Totum hoc negocium his rebus abſoluitur. </
s
>
<
s
xml:id
="
echoid-s8338
"
xml:space
="
preserve
">Primo
<
lb
/>
neceßitas oſtenditur Architecto cognoſcendarum menſurarum, mox unde menſuræ deſumptæ ſunt, declaratur,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s8339
"
xml:space
="
preserve
">quia statim a principio de compoſitione ſacrarum ædium agere exorditur, ideo in hac tractatione diſcuti-
<
lb
/>
tur quicquid primo ſub aſpectum cadit, ita enim ratio poſtulat, ut a confuſis inc pientes ad diſtincta peruenia-
<
lb
/>
mus. </
s
>
<
s
xml:id
="
echoid-s8340
"
xml:space
="
preserve
">Cadunt autem ſub aſpectum, & </
s
>
<
s
xml:id
="
echoid-s8341
"
xml:space
="
preserve
">e longinquo figuræ, formæq́; </
s
>
<
s
xml:id
="
echoid-s8342
"
xml:space
="
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">frontium, & </
s
>
<
s
xml:id
="
echoid-s8343
"
xml:space
="
preserve
">laterum templorum, quæ
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.119-04
"
xlink:href
="
note-514.01.119-04a
"
xml:space
="
preserve
">40</
note
>
quinario numero colliguntur, mox diſtinctiori cognitione intercolumnia comprehenduntur , ſpatiaq́; </
s
>
<
s
xml:id
="
echoid-s8344
"
xml:space
="
preserve
">eorum cer
<
lb
/>
ta deſignantur, & </
s
>
<
s
xml:id
="
echoid-s8345
"
xml:space
="
preserve
">ut res ſuis conſtert numeris. </
s
>
<
s
xml:id
="
echoid-s8346
"
xml:space
="
preserve
">De fundatione agitur, deq́; </
s
>
<
s
xml:id
="
echoid-s8347
"
xml:space
="
preserve
">baſium, columnarum , capitulo-
<
lb
/>
rumq́; </
s
>
<
s
xml:id
="
echoid-s8348
"
xml:space
="
preserve
">formatione tractatur, inde de ijs, quæ columnis , & </
s
>
<
s
xml:id
="
echoid-s8349
"
xml:space
="
preserve
">capitulis ſuperponuntur, cuiuſmodi ſunt trabes,
<
lb
/>
Zophori, coronæ, & </
s
>
<
s
xml:id
="
echoid-s8350
"
xml:space
="
preserve
">huiuſmodi, quibus & </
s
>
<
s
xml:id
="
echoid-s8351
"
xml:space
="
preserve
">tecta adijciuntur, quorum ratio diligentiſſime examinatur, ita ut
<
lb
/>
a fundamentis ad ſummum tectum omnia exquiſite ponderentur. </
s
>
<
s
xml:id
="
echoid-s8352
"
xml:space
="
preserve
">Ornamenta inſuper, & </
s
>
<
s
xml:id
="
echoid-s8353
"
xml:space
="
preserve
">opportunitates om-
<
lb
/>
nes exponuntur, unde gradus, podia, ſtylobata, diminutiones, ſtriæ, proiecturæ, adiectionesq́; </
s
>
<
s
xml:id
="
echoid-s8354
"
xml:space
="
preserve
">perquiruntur ,
<
lb
/>
ac demum per portarum genera templa ingreditur, quorum altitudines, longitudines , latitudinesq́; </
s
>
<
s
xml:id
="
echoid-s8355
"
xml:space
="
preserve
">exequi-
<
lb
/>
tur, cellas, pronaum, & </
s
>
<
s
xml:id
="
echoid-s8356
"
xml:space
="
preserve
">pos
<
unsure
/>
ticum, altareq́; </
s
>
<
s
xml:id
="
echoid-s8357
"
xml:space
="
preserve
">facit, ac Deorum ſimulacra, quorum cauſa ædes conſtruuntur, im-
<
lb
/>
ponit. </
s
>
<
s
xml:id
="
echoid-s8358
"
xml:space
="
preserve
">Primo igitur capite neceſſitatem, & </
s
>
<
s
xml:id
="
echoid-s8359
"
xml:space
="
preserve
">inuentionem menſurarum proponit: </
s
>
<
s
xml:id
="
echoid-s8360
"
xml:space
="
preserve
">Aitq́; </
s
>
<
s
xml:id
="
echoid-s8361
"
xml:space
="
preserve
">neceſſe eſſe, ut qui
<
lb
/>
ſacras ædes conſtruere cupit, agnoſcat uim, reſponſumq́; </
s
>
<
s
xml:id
="
echoid-s8362
"
xml:space
="
preserve
">menſurarum, cuius ratio in promptu est, nam licet
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.119-05
"
xlink:href
="
note-514.01.119-05a
"
xml:space
="
preserve
">50</
note
>
ædificatio omnis ratione menſuranda ſit, tamen cum conſideramus quanto humanitate diuinitas præstat, debe-
<
lb
/>
mus omni conatu pulchritudinem affectare in obſeruatione rerum diuinarum. </
s
>
<
s
xml:id
="
echoid-s8363
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s8364
"
xml:space
="
preserve
">quomam diuinum in terris
<
lb
/>
humana mens capit, ideo mentem maxime exercere debemus , ut Deos honoremus. </
s
>
<
s
xml:id
="
echoid-s8365
"
xml:space
="
preserve
">Dij enim ſunt, qui uere
<
unsure
/>
<
lb
/>
Deum colunt , ſed multo magis Deum Deorum honorare debemus, quare in ſacratiſſimo illius templo conſtruẽ-
<
lb
/>
do omnem laborem, induſtriam, diligentiam, ingeniumque ponemus, & </
s
>
<
s
xml:id
="
echoid-s8366
"
xml:space
="
preserve
">a falſo Dæmonum cultu ad ueros ritus
<
lb
/>
opes noſtras conuertemus. </
s
>
<
s
xml:id
="
echoid-s8367
"
xml:space
="
preserve
">Optimum humanæ mentis ratio iudicatur, hæc excellentiſſime in proportionibus
<
lb
/>
oſtenditur, quare cum Vitr. </
s
>
<
s
xml:id
="
echoid-s8368
"
xml:space
="
preserve
">dixerit. </
s
>
<
s
xml:id
="
echoid-s8369
"
xml:space
="
preserve
">ſymmetriæ, & </
s
>
<
s
xml:id
="
echoid-s8370
"
xml:space
="
preserve
">commenſus rationem diligentißime Architectos tenere de
<
lb
/>
bere , ueram, honeſtam, debitamq́; </
s
>
<
s
xml:id
="
echoid-s8371
"
xml:space
="
preserve
">diuinitate rem protulit, & </
s
>
<
s
xml:id
="
echoid-s8372
"
xml:space
="
preserve
">ſi quid mortale es
<
unsure
/>
t , quod ſatis immortalitatem
<
lb
/>
uener aripoteſt , dicerem ego precioſas quasque res proportionibus ſubijciendas eſſe in ædium constructione,
<
lb
/>
ut & </
s
>
<
s
xml:id
="
echoid-s8373
"
xml:space
="
preserve
">forma, & </
s
>
<
s
xml:id
="
echoid-s8374
"
xml:space
="
preserve
">materia cæleſtem, ac diuinam rem honeſtent. </
s
>
<
s
xml:id
="
echoid-s8375
"
xml:space
="
preserve
">Neceſſaria igit ur eſt ſymmetriæ cognitio, quæ
<
lb
/>
unde ortum ſumat. </
s
>
<
s
xml:id
="
echoid-s8376
"
xml:space
="
preserve
">docet Vitr.</
s
>
<
s
xml:id
="
echoid-s8377
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
left
"
xml:space
="
preserve
">60</
note
>
</
div
>
</
div
>
</
text
>
</
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>