Vitruvius, De architectura libri decem, 1567

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          <div xml:id="echoid-div844" type="section" level="2" n="159">
            <p>
              <s xml:id="echoid-s26491" xml:space="preserve">
                <pb o="353" file="514.01.385" n="385" rhead="DECIMVS."/>
              & </s>
              <s xml:id="echoid-s26492" xml:space="preserve">numero indicabit miliaria ſpatia nauigationis. </s>
              <s xml:id="echoid-s26493" xml:space="preserve">Quæ pacatis, & </s>
              <s xml:id="echoid-s26494" xml:space="preserve">ſine metu temporibus ad utilita-
                <lb/>
              tem, & </s>
              <s xml:id="echoid-s26495" xml:space="preserve">delectationem paranda, quemadmodum debeant fieri, peregiſſe uideor.</s>
              <s xml:id="echoid-s26496" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s26497" xml:space="preserve">Facilis eſt propoſitæ rei demonſtratio his, qui Arithmeticas rationes interlligunt, quoniam totum negotiũ
                <lb/>
              in eo est, ut præſinitam rotarum magnitudinem ſciamus. </s>
              <s xml:id="echoid-s26498" xml:space="preserve">cum ergo a diametro circinatio rotundationis ſuma-
                <lb/>
              tur, neceſſe erit certas, & </s>
              <s xml:id="echoid-s26499" xml:space="preserve">pr&</s>
              <s xml:id="echoid-s26500" xml:space="preserve">finitas diametros rotarum ſtatuere. </s>
              <s xml:id="echoid-s26501" xml:space="preserve">Ideo Vitr. </s>
              <s xml:id="echoid-s26502" xml:space="preserve">rotarum diametros quaternum
                <lb/>
              pedum, & </s>
              <s xml:id="echoid-s26503" xml:space="preserve">pollicum duorum conſtituit, pollices enim duodecim pedem eſſiciunt, ideo pollices duo ſextam pedis
                <lb/>
              partem ſaciunt. </s>
              <s xml:id="echoid-s26504" xml:space="preserve">cum igitur tanta fuerit diametri magnitudo, rotæ circinatio erit pedum duodenum, & </s>
              <s xml:id="echoid-s26505" xml:space="preserve">dimi-
                <lb/>
              dium. </s>
              <s xml:id="echoid-s26506" xml:space="preserve">quod ſi quater centies uoluatur, dabuntur mihi quinque mille pedes, unde quia quinque pedes paſſum unũ
                <lb/>
              constituunt, mille paſſus erunt conſecti, at mille paſſus miliare unum constituunt, ergo quatercenties uoluta
                <lb/>
              rota milliare unum oſtendet. </s>
              <s xml:id="echoid-s26507" xml:space="preserve">ut uero hæc dignoſcamus alteram rhedæ, uel nauigio rotam ſub limiorem ponit, in
                <lb/>
                <note position="left" xlink:label="note-514.01.385-01" xlink:href="note-514.01.385-01a" xml:space="preserve">10</note>
              cultro poſitam, quœ dentes habet quadringentos, ita tamen ut in prioris rotœ latere affigatur denticulus, qui
                <lb/>
              ſingulos ſecundærotæ denticulos in ſingulis uer ſationibus compellat. </s>
              <s xml:id="echoid-s26508" xml:space="preserve">Ita enim fiet ut per ſpatium id, quo ſe-
                <lb/>
              cunda rota ſemel reuoluetur, prima quadringenties uerſetur, atque milliare unum conſiciat, ut uero id innote-
                <lb/>
              ſcat, tertiam rotam ſacit in plano poſitam, quæ in rotundatione tot foramina, quot dentes habeat: </s>
              <s xml:id="echoid-s26509" xml:space="preserve">in ſingulis
                <lb/>
              autem for aminibus ſingulos calculos immiſſos, calculi cum peruenerint ad for amen, quod erit in eius rotæ lo-
                <lb/>
              culamento, cadet in æneum uas, & </s>
              <s xml:id="echoid-s26510" xml:space="preserve">ſonitum dabit, ut uero hoc præſtet, opus eſt ſecundæ rotæ denticulum ap-
                <lb/>
              ponere, qui ſingulis uerſationibus ſingulos iacentis, & </s>
              <s xml:id="echoid-s26511" xml:space="preserve">planæ rotæ denticulos protrudat, ita ſiet, ut peractis
                <lb/>
              milliarijs ſingulis calculi in foramina poſiti in æneum uas incidentes etiam ſonitu milliariorum confectionem,
                <lb/>
              & </s>
              <s xml:id="echoid-s26512" xml:space="preserve">numerum oſtendant. </s>
              <s xml:id="echoid-s26513" xml:space="preserve">Non diſſimilis ratio in nauigio erit, modo ea obſeruentur, quæ a Vitruuio dicta ſunt,
                <lb/>
              quæ ſacile intellguntur.</s>
              <s xml:id="echoid-s26514" xml:space="preserve"/>
            </p>
            <note position="left" xml:space="preserve">20</note>
            <figure number="172">
              <image file="514.01.385-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/514.01.385-01"/>
            </figure>
            <note position="left" xml:space="preserve">30</note>
            <note position="left" xml:space="preserve">40</note>
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          <div xml:id="echoid-div847" type="section" level="2" n="160">
            <head xml:id="echoid-head168" xml:space="preserve">De cat apultarum, & ſcorpionibus rationibus. # Cap. X V.</head>
            <note position="left" xml:space="preserve">50</note>
            <p>
              <s xml:id="echoid-s26515" xml:space="preserve">NVnc uero quæ ad præſidia periculi, & </s>
              <s xml:id="echoid-s26516" xml:space="preserve">neceſsitatem ſalutis ſunt inuentæ, ideſt ſcorpionum,
                <lb/>
              catapultarum, & </s>
              <s xml:id="echoid-s26517" xml:space="preserve">baliſtarum rationes, quibus ſymmetrijs comparari poſsint, exponam.
                <lb/>
              </s>
              <s xml:id="echoid-s26518" xml:space="preserve">Et primum de catapultis, & </s>
              <s xml:id="echoid-s26519" xml:space="preserve">ſcorpionibus. </s>
              <s xml:id="echoid-s26520" xml:space="preserve">Omni igitur proportione eorum tatiocinata
                <lb/>
              ex propoſita ſagittæ longitudine, quam id organum mittere debet, eiuſq́; </s>
              <s xml:id="echoid-s26521" xml:space="preserve">nonæ partis
                <lb/>
              fit foraminum in capitulis magnitudo, per quæ tenduntur nerui torti, qui brachia continere cata-
                <lb/>
              pultarum debent. </s>
              <s xml:id="echoid-s26522" xml:space="preserve">Eorum autem foraminum capituli ſic deſormatur altitudo, & </s>
              <s xml:id="echoid-s26523" xml:space="preserve">latitudo. </s>
              <s xml:id="echoid-s26524" xml:space="preserve">Tabulæ,
                <lb/>
              quæ ſunt in ſummo, & </s>
              <s xml:id="echoid-s26525" xml:space="preserve">in imo capituli, paralleliq́; </s>
              <s xml:id="echoid-s26526" xml:space="preserve">uocantur, ſiant craſsitudine unius ſoraminis, lati-
                <lb/>
              tudine unius, & </s>
              <s xml:id="echoid-s26527" xml:space="preserve">eius dodrantis in extremis, foraminis unius, & </s>
              <s xml:id="echoid-s26528" xml:space="preserve">ſemis. </s>
              <s xml:id="echoid-s26529" xml:space="preserve">Paraſtatæ deſtra, ac ſiniſtra præ-
                <lb/>
                <note position="left" xlink:label="note-514.01.385-06" xlink:href="note-514.01.385-06a" xml:space="preserve">60</note>
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